diff --git "a/data/dm_maths/full_data/1855_11255.jsonl" "b/data/dm_maths/full_data/1855_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1855_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let x = -4.65 + 5. Let o = 0.15 + x. Sort 2\/19, -0.3, o in descending order.\nAnswer: o, 2\/19, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)*f**(2\/9)*f)**38*((f\/f**(-3))**15)**(-18) assuming f is positive.\nAnswer: f**(-10328\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*r - 4020827 = -5*c + 143*r, -c = 2*r - 804187. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(4*sqrt(9)\/sqrt(3)) - (0 + sqrt(891) + -1 + sqrt(891)) - ((sqrt(891) + -1)**2 - (sqrt(11) + 0 + -4) - ((1 + sqrt(11))*-4 + -5)).\nAnswer: -904 - 11*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 4:31 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/6*(3 - 0). Let u = -21 - -20.7. What is the third smallest value in d, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 142 + -140. Let t be i\/5 - 448\/(-80). Let r(z) = z**2 - 8*z - 3. Determine r(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 1102.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 3:55 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(104) - -2*sqrt(104)))\/(sqrt(8) + -4*sqrt(392) + sqrt(8)) + 5.\nAnswer: -3*sqrt(13)\/26 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116208609?\nAnswer: 3, 11, 3521473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from {t: 4, f: 2, r: 3, m: 8}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34921 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1473058 and 4210978?\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105027057*z**2 - z - 3468095 wrt z?\nAnswer: 210054114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 27. Suppose -j*o = 3*x - 12, 4*x + 8 = 4*o + 24. Suppose -4*b + p = o, -3*b - p + 7 = -0*b. Solve l - b = 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/56254 and -1\/966546.\nAnswer: 10632006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1192924 is divided by 1005.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**2 - 8*x = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*r**4 - 3)*(10 - 45 + 18 + 10).\nAnswer: 14*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6817611 to the power of 1\/3, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38, 1, -166, -517, -1106, -1987, -3214, -4841?\n\"Answer: -9*q**3 - 11*q**2 + 59*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.006 + 0.506. Let s = -995.122 + 994. Let f = s + 0.122. What is the closest to 1 in f, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -413 divided by -132245\nAnswer: 413\/132245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 1\/5, 2\/9, 2247 in increasing order.\nAnswer: -49, 1\/5, 2\/9, 2247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*j + 199. Let g = j - 76. Suppose -3*a = 2*a + g. Calculate the common denominator of -44\/13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgbgfsgzggfg. Give prob of picking 2 f, 1 z, and 1 b.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4168*i + 69722 with respect to i.\nAnswer: 4168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -1*1 + -3. Suppose 2*a = a + 4. Let j(k) = -3*k + 2. Let c(p) = -p - 2. Let u(o) = -2*o - 5. Let y(h) = 14*c(h) - 6*u(h). Give a*y(b) + x*j(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000274 rounded to 6 decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = 6*w + 17*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*v - 68 = 307, 2*g = 2*v - 188. Let f = g + 156. Suppose 0 = r - f - 19. Is r a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**7*l*l**(-1\/5)*l*l\/l**(-3\/13)*l**(1\/12) assuming l is positive.\nAnswer: l**(7889\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73189 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.6+-5.777\nAnswer: -6.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -425720, -851422, -1277114, -1702790, -2128444, -2554070, -2979662, -3405214?\nAnswer: -3830720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 133*f**2 - 760*f - 4852. Let q(y) = -73*y**2 + 380*y + 2427. Let m(k) = 6*j(k) + 11*q(k). Factor m(n).\nAnswer: -5*(n + 7)*(n + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*j = 3, w = 4*w + j + 1. What is the second biggest value in w, -3\/5, 0.05?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 4, -1, -2\/9.\nAnswer: -1, -2\/9, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from nnnwtnnttwttwtw?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 6. Let z = 14 - 12. List the prime factors of 0\/1 - (i + z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.7 + -0.095.\nAnswer: -7.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-4))**(32\/7))**(1\/35))**(-38) assuming s is positive.\nAnswer: s**(4864\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.092 and 6?\nAnswer: 0.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 336 and 3952.\nAnswer: 82992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -18, 11 in increasing order.\nAnswer: -18, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u. Let h(s) = -11*s + 5*s + 5*s + 3*s. Give h(n(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1a5843 (base 13) to base 11\nAnswer: -417940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -89 (b) 739 (c) -21 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, -100475, 0.2 in descending order.\nAnswer: 0.2, -69, -100475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -l - 2*l - 9*l. What is the third biggest value in 2\/31, 0.4, l, -0.3, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 z when three letters picked without replacement from {z: 4, u: 2, l: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 86\/7 of a week in hours?\nAnswer: 2064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-12 - (-35 + 12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 20.76. Let c = d - -3.24. Sort 0.2, -10\/7, c in descending order.\nAnswer: c, 0.2, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1371, 5301, 11901, 21171?\nAnswer: 33111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -2*j + 3*p + 39081, 3*j - 58625 = -5*p. What are the prime factors of j?\nAnswer: 2, 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 105507, 422055, 949637, 1688253?\n\"Answer: 105517*y**2 - 3*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 666 divided by -3\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -15*j - 4. Let i be w(-1). Let q be (84028\/32*4)\/(i\/2). Let l = 1911 - q. Find the common denominator of l and 38.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 11*y**2 - 26*y + 12. Let x(i) = 4*i**2 - 9*i + 4. Let r(b) = -3*f(b) + 8*x(b). What is r(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + 3*j + 50 = 0, 3818031*c + 5*j = 3818028*c + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8d64 + -8b8?\nAnswer: -961c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-1 - (-7)\/4). Calculate the common denominator of 3 - ((-1)\/3)\/(2\/3) and (-22)\/v*3*3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/w**(-2\/7))*w\/((w\/(w\/w**(1\/2))*w)\/w)*w assuming w is positive.\nAnswer: w**(17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 greater than -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 58?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2))**(2\/9)\/(p**(1\/4)\/p**(-2\/13)) assuming p is positive.\nAnswer: p**(-241\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.03 and -0.126?\nAnswer: 0.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26660074?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*p = -2, -5*j + 0*p + 1 = -p. Suppose -f + j*l = -l, 4*l - 20 = 0. Suppose 0 = 5*h + 8 + 2, 5*y - 80 = -f*h. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 689 = -163*t + 36*t - 49*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k - 4. Let v(d) be the first derivative of -d**2\/2 + d + 351. Give -n(a) - 4*v(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/225 and 67\/175.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, s: 8, y: 4}. What is prob of picking 1 y, 1 s, and 1 i?\nAnswer: 64\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*p**4 + p**4 + 5)*(-4 + 4 - p).\nAnswer: p**5 - 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13664087 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2 + 346*o + 15. What are the prime factors of a(80)?\nAnswer: 5, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 4)*(-2*x**2 + 4*x**2 - x**2) + (0 + 0 - 2*x)*(-2 + 2 + 2*x) as b + w*x + s*x**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + 3 + -4 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((m**2 - 2*m**2 + 0*m**2)*(12*m - 9*m - 16*m) + 133*m**3 + 2*m**2 - 134*m**3 - 7*m**2)*(0 + 2 + 0)*(0*m + 3*m - 2*m).\nAnswer: 24*m**4 - 10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*f - 107722, 3*f = -146 + 152. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**3 - k**2 - 2*k + 1. Let z be o(2). Let x = z - 8. Suppose u + 5 = x. What is the nearest to -1 in u, -1\/10, 5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70952689.8 to the nearest one million.\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/24*7\/(-105).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 23\/3 - (-2)\/6. Let a(t) = t**2 + 7*t + 6. Let j be a(-4). Let d be 3\/(-9) - 32\/j. Solve -3*l - r - 24 = 2*l, d*l - 3*r = -x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 4243692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + -3*sqrt(117)*-1*1)*4)**2.\nAnswer: 51840*sqrt(13) + 620928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 + 63. What is the remainder when z is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/(-18)*(-714)\/(-170) - 4\/(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 - 2*m**3 + 0*m**3 + (-3*m**3 + 2*m**3 + 2*m**3)*(2 + 3 - 6) - m**3 + 3*m**3 - 3*m**3 - 194*m**3 + 202*m**3 + 789*m**3.\nAnswer: 793*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -421 - -449.7. Let u = w - 32.44. Round u to 1 dp.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3737, -29958, -101121, -239696, -468153, -808962?\n\"Answer: -3745*g**3 - g**2 - 3*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/l**(-2\/5))\/l)**32*(l**(-1))**38)**7)**14 assuming l is positive.\nAnswer: l**(-12348\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 18. Let o = 3 - 7. Let l = m + o. Sort 1\/7, l, -2\/3 in descending order.\nAnswer: l, 1\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007233125753 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -195 - -305. List the prime factors of f.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.99999978 + -10. Round i to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 2:33 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-4)\/(-2))\/(10\/35))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 218*i + 174*i - 274*i + (-2 + 2 - 2*i)*(3 - 2 - 2).\nAnswer: 120*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38.3939 + -41.3939. Let u = -2.7 + 5.5. Which is the fourth smallest value? (a) m (b) u (c) 2 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/7 of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 6*d**3 + 10*d**3 + 0*d**3 + d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -13. Let c = 4 - 3.6. Let v = 83.38 - 79.78. Put 3, c, m, v in decreasing order.\nAnswer: m, v, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13520424 divided by -13520424.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 8*v = -9. Suppose 5*k = v*u - 0*k + 480015, 0 = -4*u + 3*k - 640009. What is u rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4606 and 940038540.\nAnswer: 4606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.378 (b) 1.27 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -j. Solve j*n + n + 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 2:12 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3256*o**4 - 7 + 3248*o**4 + 18 + (o**2 + o**2 - 3*o**2)*(0*o**2 + 4*o**2 - 2*o**2) + 3*o**4 + o**4 - o**4 - 2*o**4 - 2*o + 2*o.\nAnswer: -9*o**4 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 159, 2\/3, -3\/8, -29\/89?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 11*p**2 - 15*p + 24. Let t be f(12). Let v = -730\/71 - 41455\/284. Let h = -156 - v. Put h, 0.2, t in descending order.\nAnswer: h, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5764\/176 - (-3)\/12. Calculate the greatest common divisor of u and 1716.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 158*c - 154, 2*u + 4*c - 459 = -459 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2 = -4, z - 3*j - 12 = 0. What is g in g**4 - 4 + z*g**2 + 0*g**4 - 6*g**4 - 3*g**4 - 16*g**3 + 10*g = 0?\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/(-19))\/(-6) + (65615228\/76)\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2346 = -35*t + 29*t. Solve -t*x + 5*x**2 - 403*x + 809*x - 90 = 0 for x.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2698210 divided by -410?\nAnswer: -6581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*-553164.\nAnswer: -331898.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/7366880 and -143\/2210064?\nAnswer: 22100640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2173721, 4347422, 6521123, 8694824, 10868525, 13042226?\nAnswer: 15215927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-165)\/(-2860)*(-4)\/(-13) and -30\/91.\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 354468 (base 9) to base 12\nAnswer: a34b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -249*n**2 + 6*n + 7. Let x be z(-1). Let r = 27 - x. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101889971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, 89, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 - 10*f**2 + 3*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-10)\/3)\/((-4)\/102) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(2\/3))**34*w**(-18\/5)*w\/w**(5\/4) assuming w is positive.\nAnswer: w**(449\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 1187257?\nAnswer: -3561771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a - 91*a + 11763 = -16206 + 33057 for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (378 - 699 + 419)*(-4 + 2 + 4)*(2*d - 4*d**2 - 2*d).\nAnswer: -784*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 12:43 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p**3 - 6*p**2 - 2. Let r(m) = -9*m**3 + 7*m**2 - 2*m + 2. Calculate -6*r(h) - 7*w(h).\nAnswer: 5*h**3 + 12*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x + 1. Let l be w(1). Suppose d = -l + 33. Calculate the remainder when d is divided by (100\/(-30))\/((-4)\/18).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 1. Let j be 1*(2 + -2 + -2). Let g(m) = m**2 - 2. Suppose 0 = 88*v - 97*v - 9. Calculate j*z(x) + v*g(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 4*g**2 - 6*g + g**2 + g + 4. Let r be z(-6). Let j(a) = -a**3 - 8*a**2 + 10*a + 8. Let i be j(-9). Sort i, 3, r in descending order.\nAnswer: 3, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 36 + 9 + (-3 - 3 + 4)*(10 + 4 + 0))*(-g**3 - 3*g**3 - 2*g**3).\nAnswer: -96*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -750, -776, -834, -936, -1094, -1320, -1626, -2024?\nAnswer: -2526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**6\/120 - n**3\/3 + 12*n**2 - 120. Let o(s) be the third derivative of y(s). Let a(f) = 9*f**2 + 2*f. Calculate o(a(h)).\nAnswer: 243*h**4 + 108*h**3 + 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-37 + 24 - -15) + (-7 - -4 - 11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*2\/26)\/(9\/15*3330\/(-1998)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 6*w**2 - 8*w - 7. Let i be 1*-1*30\/6. What is the remainder when 31 is divided by q(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -545743, -545752, -545763, -545776, -545791, -545808?\n\"Answer: -k**2 - 6*k - 545736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-5) + 5\/(50\/354). Suppose 13 = 3*o - 2*x - 2*x, -2*x + 65 = 5*o. Let s be (y - 1)\/(-13 + o). Is s at least as big as -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 10 - 23*x**3 + 13*x**3 - 7*x + 11*x**3 - 2*x + 7*x**2. Let v be z(-8). Let y = 37 - v. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 52. Let l(h) = 3*h. Determine l(k(n)).\nAnswer: 3*n - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -126456 divided by 42152\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37329 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, -6809, -3, -4, -1\/5 in descending order.\nAnswer: 7, 0, -1\/5, -3, -4, -6809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 100 = 10*h. Suppose 0 = -v + 3*v - a - h, 3*a = 9. What is the derivative of 7*z**3 + 8*z**3 + 4*z**3 + 8 - v*z**3 wrt z?\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -87, -88, -89?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102022022 (base 4) in base 10?\nAnswer: -598666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z**3 - 7*z**2 - 14*z - 11. What is y(-5)?\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f. Suppose 2*k - 3 = 3. Suppose k*s + s - 12 = 0. Let x(u) = -u - s*u + 4*u - 5*u. Calculate x(v(n)).\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10}. What is prob of sequence bb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -122, -77.25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -6\/11, 59, 10\/9, -29, -1?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9*c + 25 = 0, 0 = -4*k - 3*c + 9. Let x be (1\/(1\/(-6)))\/(-2). Solve -k = z - x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**5 - 990402*c**4 - 8913441*c**3 - 21788250*c**2 + 96*c + 31692000 = 0.\nAnswer: -330125, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/208 and -97\/32968.\nAnswer: 65936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - 0. Let b = -5.992 + -0.008. What is the nearest to 2 in b, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 - 33*f**2 + 16*f**2)*(5*f - 8 + 6*f - 12*f).\nAnswer: 21*f**3 + 168*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13406.7ns?\nAnswer: 0.000000223445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o**2 - 34*o**3 - 10*o**2 + 10*o**2 - 14*o**2.\nAnswer: -34*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 5\/18*c**4 + c**2 + 1\/45*c**5 - 4\/3*c**3 + 0 + 0*c. Find p such that g(p) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4619768 to the nearest ten thousand.\nAnswer: -4620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 15305*a + 10*a**2 + 23 - 15295*a - a**3 + 5*a**2. What are the prime factors of r(14)?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/5 - (2 - (3 + -2)). Solve 3*q - 1 = -4*h + 12, -b*h + 16 = 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/((-1)\/8*3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(1 - 1\/(-2)). Suppose -x*n = 2*n + 4. Which is the nearest to n? (a) -4 (b) 3\/7 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -12*h + 245. Let y be v(23). Which is bigger: -27 or y?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*b**4 + b**3*g**2 - 60*b**3*g - 7*b**2*g**2 - 4*b**2*g - 24*g**2 wrt b?\nAnswer: -168*b + 6*g**2 - 360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 217569159 divided by 24174351\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 10*x + 5. Let u(o) = 9*o + 3. Calculate 4*h(d) - 6*u(d).\nAnswer: -14*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1883416us in hours?\nAnswer: 0.000000001441206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5610339 or -0.143?\nAnswer: -0.143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = i - 64. Suppose 0 = 5*s + 4*v + 6, 4*s + i = 2*s - 5*v. Solve 4 + 3*a**2 + 26*a + 4*a**2 + 4*a**s + 29*a**2 = 0.\nAnswer: -2\/5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 8*c**2 - 3*c**3 - 11*c**2)*((3*c + 0*c - 2*c)*(c - 2*c + 2*c) + 0*c**2 - 2*c**2 - 2*c**2).\nAnswer: 12*c**5 + 9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 14 - 2 = 0. Let d be 10\/4 - i\/(-2). Suppose 3*u + 0*u + 3*h - 18 = 0, -4*u + 23 = 3*h. Which is the closest to d? (a) u (b) -5 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*z + 26 + 31 - 57)*(0 + 5 + 7 - 3 + 3 + 2 + (3 + 1 - 6)*(-4 + 3 + 0)).\nAnswer: -784*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**3\/9 + 1925998*v**2\/9 + 3851990*v\/9 + 641998\/3 = 0.\nAnswer: -962997, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 (base 6) in base 8?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3 + 56*b**2 - 206*b - 620 = 0. What is b?\nAnswer: -31, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(24) - 4*(2*sqrt(24) - sqrt(24)))\/(sqrt(8) + sqrt(8) + (2*sqrt(72) - sqrt(72)) - (-2*sqrt(72) - sqrt(8))).\nAnswer: -7*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**3 - y**2 + y. Let q be v(1). Let u = -33 + 36. Suppose -23 = 4*l - 7, -q*p + u*l = -57. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 7*w**2 + 11*w + 7. Let v be f(-5). What is the third derivative of -2*u**6 + 4*u**v + u**2 + 7*u**6 - u**6 wrt u?\nAnswer: 480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, g: 3, f: 5, s: 1}. Give prob of picking 1 f and 1 z.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.534 rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5436096 tonnes to micrograms.\nAnswer: 543609600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + (-4 - (0 - -1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 922.978 and -277.\nAnswer: -255664.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 - -45. Suppose 4*t = -38*b + 43*b + 37, -b = -3*t + 14. Sort -3, t, 1, f in descending order.\nAnswer: t, 1, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*n + 4978506 = 4*n. What is the ten thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**3 + 8*i + 22. Let t(d) be the first derivative of l(d). Let o(p) = p**2. Give o(t(y)).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t - 1. Let f be x(1). Suppose -6 = -z - 0*b + b, z - 8 = f*b. What is the third smallest value in -4, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -238*p + 1 + 237*p - p**2 + 0 - 5*p**2 + p**2. Determine u(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9764903329967265\/99502 + -98137759340. Let g = -2\/3827 - i. Let l = 256933\/18 + -14278. Calculate the common denominator of l and g.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.71506nm to kilometers.\nAnswer: 0.00000000000871506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-147)\/196*(-8)\/(-2). Let t be (2 - (-21)\/(-9))*0. Sort t, c, -1 in ascending order.\nAnswer: c, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 4*d + 3. Suppose -16 = 6*a - 2*a. Let j be x(a). Factor 6*r + 10*r**2 - 15*r**4 + 3*r**3 - 16*r**2 + 24*r**3 + j*r**5 - 15*r**2.\nAnswer: 3*r*(r - 2)*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16506?\nAnswer: 2, 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5.5*22\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(13 - 13 + 4*l)*(107*l + 216*l - 63*l) in the form f + x*l**2 + i*l and give x.\nAnswer: -2080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t + 16 = -16*t. Suppose -t*s - 8 = -36. Solve k = -s + 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 4)*(380*c + c**2 + 142 - 380*c).\nAnswer: -2*c**2 - 284","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-4)*(-4)\/8*64\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 255, 4, 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -506*c + 1. Let v(a) = 48*a**2. Give l(v(q)).\nAnswer: -24288*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 - 8 - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 725*z**2 - 11*z - 37. Is q(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.4 + 3.3.\nAnswer: 11.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 347?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 9*t**2 - 2*t - 5. What is s(6)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (366\/(-2135))\/((126\/(-49))\/(-2))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.35395 - -0.14605. What is the second biggest value in -164\/3, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 16 = 2*x, -3*x - x - 3*d + 44 = 0. Let i(b) = -b + 26. Calculate the lowest common multiple of x and i(8).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-8)\/18)*30\/(-9)*5\/275\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-88)\/20 - (-2)\/5. Let o(u) = -2*u - 2. Let y be o(d). Which is bigger: y or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 4:40 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -g + 9. Let j = g - 10. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (595\/(-14))\/17*436\/(-7085)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1016.259 months?\nAnswer: 0.08468825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42041 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 5. Let g = -8 - -3. Let b be x(g). Suppose -4*m = 4*c - 3*c - 53, -c + 5 = b. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/44 greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1416907?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 - m**3 + m**5 + (0*m + 0*m - m)*(-3*m**4 + 4*m**4 + m**4) + 4*m**5 - 2*m**5 - 5*m**5 + (3*m - 2*m + m)*(2*m**4 - 2*m**4 - m**4).\nAnswer: -6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 14*b - 5*a - 10, b + 2*a = 21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1458 = 92*l - 16*l + 5*l for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 4*g - 32, -2*g + 3*g - 12 = -2*n. Suppose -n*m = 4*r + 4, 10 = 2*r - m - 3. What is the lowest common multiple of r and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-5)\/(36\/10260*57).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 476 divide 754904584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1738 = i + 2*i, -3*f = 4*i - 1307. What are the prime factors of f?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981 is divided by 177?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/10)\/(2\/(-10)). Suppose 3*t + 6*t = 108. Suppose r = l*r - t. Solve r*f + 8 = -8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0 = -2. Let t = 8 + m. Let y(i) = -i**3 + 7*i**2 + 4*i - 6. Is y(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-8)*1\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 10*z - 420. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1 - 8 - 4*m + 2*m. Let x(g) = -1. What is -2*v(h) + 14*x(h)?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 - (2 - (-3 + 3)) - (-2 + -9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + (2 + -14 - -7) + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 6*a + 6*a**2 - 3*a**2 + a**2 - 4 + 3. Let n be p(-6). Let c = 83 + n. What is the remainder when c is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103724 divided by 4\nAnswer: 25931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*m**3 - 3*m**2 + 3*m**2 + 235*m**3.\nAnswer: 29*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12659, -12585, -12471, -12323, -12147, -11949?\nAnswer: -11735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 2.9. Let n = -76\/5 - -887\/60. Let d = n + -1\/12. Sort r, d, -2\/3 in decreasing order.\nAnswer: r, d, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2275*s**2 - 20*s + 8. Is 31 a factor of a(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14560 - 14562. Which is the biggest value? (a) 26 (b) v (c) -3 (d) 4 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 374 + 152 = 0. What are the prime factors of x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14428 + 14428.0008851. What is v rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*j + 0*j - 17*j + (4*j + 0*j - 2*j)*(-2 - 1 + 1) + 2*j - 2*j - 2*j + (-3 + 5 - 3)*(-3*j + 6*j - j).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3129 = -14*i - 3185 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 2*i**2 + i + 1. Let m be p(4). Let z = m + 28. Let y be 0*((-6)\/(-4) - 1). What is the nearest to y in z, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.54712 years in decades?\nAnswer: 1.454712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 130 - 135 = 0, 5*t = 8*a + 41. Sort 7, 0, -5, a in descending order.\nAnswer: 7, 0, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 22*i + 1. Suppose 0 - 5 = 84*j - 5. Let f(c) be the first derivative of -5 - 1\/2*c**2 + j*c. Determine b(f(l)).\nAnswer: -22*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 569 - 390. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -9\/274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 205933754\/55233 - 194\/18411. Let a = 3723 - m. What is the common denominator of a and 45\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 11) in base 4?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59 + 45. What are the prime factors of 277 + (-2)\/((c\/5)\/(-7))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/15 + 92*u**2\/15 - 55328*u\/5.\nAnswer: 2*u*(u - 266)*(u + 312)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197, -445, -841, -1379, -2053, -2857, -3785, -4831?\nAnswer: -5989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37\/42 - 29\/21. Let z = 8.8 - 1.8. Which is the nearest to v? (a) 0 (b) -4\/9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o - 4. Let p(c) = 7*c + 5. Let i(l) = -6*a(l) - 5*p(l). Let s(b) = 2 + 1 + 0 - 2*b. Determine -5*i(q) - 2*s(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10 and -244951976.\nAnswer: -244951986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.1. Let i = 0.61 + -0.71. Which is the closest to u? (a) i (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -242 - -614. Calculate the lowest common multiple of v and 2.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*c**2 - 2*c**3 + 8425*c**5 - 9*c**2 - 8423*c**5 + (c**2 + 2*c**4 - c**2)*(2*c - c + 0*c) - 4*c**5 + 6*c**5 - 3*c**5.\nAnswer: 3*c**5 - 2*c**3 + 11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 11:34 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 45*u**3 - 5*u**2 + 5*u - 66. Let x(p) = -45*p**3 + 4*p**2 - 4*p + 65. Let h(v) = 4*i(v) + 5*x(v). What is the derivative of h(r) wrt r?\nAnswer: -135*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.342 - 0.876. Let w = -0.218 - t. Let j = -19.1 - -19. Does j = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6596?\nAnswer: 2, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 29*d**2 + 27*d + 72. Let f be h(30). Let y be -2 + (-1 - 32)\/(-3). Let u be y\/12*2*f\/(-27). Is u less than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -26\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (10 + -14 + -4 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34380913 divided by -7.\nAnswer: 4911559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(1 - -1) - 0. Let m = 13 + -6. Let q = 7.5 - m. Which is the nearest to -2? (a) d (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301046.\nAnswer: 2, 150523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 + 29*h\/2.\nAnswer: -h*(h - 29)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 + 0.19. Let x = -10 + 5. Let m be ((-9)\/x + -2)\/1. Which is the closest to 2\/7? (a) m (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l + 64 = 0. Suppose 0 = -5*b + 4*q, 0 = -3*b + 4*b + 3*q. Let w = b - -3. Solve u + w*u - l = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a milligram in micrograms?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1381373 is divided by 304?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1225) - (sqrt(1225)*1 - sqrt(1225)))\/sqrt(5).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22356 and 6143040?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -984, 0, 2, -10, -18 in ascending order.\nAnswer: -984, -33, -18, -10, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2050 + -1104. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**3 - 112479*a**2\/4 + 131990355*a\/2 - 1907952543\/4 = 0. Calculate a.\nAnswer: 29\/4, 4683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -j + 21, 716*v - 720*v - 3*j - 17 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 2*b + 4. Let t = -57 - b. Solve r + a + 3*a = -5, -1 = t*r - 4*a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h - 9*h**2 + 5*h + 10*h**2 - 13*h**2 - 11. Let u(a) = -a**2 + a - 1. Calculate -4*t(o) + 44*u(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**4*v*x - 40400819*g**4*x + 2*g**2*v + 3*g**2*x + 68*g**2 + 111*v*x - v + x + 2 wrt g.\nAnswer: -48*g*v*x - 969619656*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c + 5. Suppose -2 - 3 = -n - v, 0 = 3*n - 2*v - 20. Suppose n*d - 7*d + 10 = 0. Let o(u) = u + 0 - 1 + 0. Determine d*o(h) + 2*g(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from {i: 1, w: 2, c: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -17.28, 0.4, 3, -1\/3 in increasing order.\nAnswer: -17.28, -2, -1\/3, 0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 65*m - 66. Let n be f(-11). Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/2)\/(l*l**(-2\/13)*l))\/(l*l**(-1)*l\/(l\/l**(-2\/13)*l)) assuming l is positive.\nAnswer: l**(-57\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.058? (a) 0.3 (b) 0.5 (c) -3 (d) -2 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 - -85.3. Let i = d - 1.3. Which is the smallest value? (a) i (b) -2 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 14*u**2 + 12*u + 16. What is k(9)?\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 228\/16 - ((-21)\/12)\/(-7). Let r be (-6)\/x - 2\/((-14)\/3). Let m(h) = -2*h**2 + 3*h + 181. What is the units digit of m(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 1 = 5*x. Suppose -x*g + 802 + 133 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -1 - 4 + 1 + i. Let z be b(7). Suppose -4*j - 3*v - 15 = -2*j, -v = z*j + 5. Solve j = -2*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*l - 583 = -2983, 0 = y - 5*l + 480. Let i be (-2)\/(-3) - y\/36. Solve -2*b = v - 5, -4*v + i = 5*b - 2*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.4169942 to one decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 146068 to the power of 1\/2, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 274135 to the power of 1\/2, to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7250956.7 rounded to the nearest 10000?\nAnswer: 7250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3393?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + (1 - (-15 + 13 + 28)) + 4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2830.\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40 or 623\/16?\nAnswer: 623\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, q: 2, n: 2, t: 1, h: 1, o: 2}. Give prob of sequence nqo.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuunnhunn. What is prob of picking 1 u and 1 n?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2272.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z**2 - 67*z**2 - 162*z**2)*(-1 - 2 - 1 + (4 - 2 - 3)*(-2 - 2 + 2) - 2 + 3 - 2) + 0*z**2 + 4*z**2 - 2*z**2 to d*z**2 + j + p*z and give d.\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**5\/5 + 2*d**4\/3 + 2*d**3\/3 + d. Suppose k(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 140 (b) -486 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 8\/11, -0.5, 10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 75462*h + 266. Let j be l(-43). What is j rounded to the nearest ten thousand?\nAnswer: -3240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - -0.3. Let n = 3 - 0. Suppose -r = 2*r + n. Are c and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32\/3*u + 1\/3*u**2 + 256\/3 = 0. Calculate u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 - 43*l**2 - 24*l - 18. Let g be v(-21). Let x = 1187\/4 - 3367\/12. Calculate the common denominator of (-85)\/(-2)*((-378)\/g + 9) and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82214 and 888?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 5 - 8\/(-2*1). Suppose 3*n + 5*k - 69 = 0, r = -0*n - 2*n - 5*k + 41. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -578048*0.254.\nAnswer: -146824.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*j**3*q**2 + 62*j**3*q - 8*j**2*q**2 + 2*j*q - 21*q**2 wrt j.\nAnswer: 72*q**2 + 372*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, 0.2, 150 in ascending order.\nAnswer: -8, -2, 0.2, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -109, -145, -225, -367, -589?\n\"Answer: -3*w**3 - 4*w**2 - 3*w - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520540698 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17071, 68799, 155017, 275725, 430923?\nAnswer: 620611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (1 + 7)*65\/26 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (357\/153)\/((-2)\/12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1779 - 1774. Which is the closest to -6\/11? (a) -6\/11 (b) 6 (c) 3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 425\/4 or 3?\nAnswer: 425\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - 2*b**3 + 4*b**2 + 8*b**3 - 6*b**2 + 3*b**2 to h + t*b**2 + x*b**3 + u*b and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = 0, 3*m - 15 = 5*g - 2*m. Let d = -8 - -35. Let a = d - g. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7334 + -1.0334. Let v = -0.04 - 0.36. Let i = v + 1.4. Which is the nearest to i? (a) f (b) -1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-20)\/846) + (-4)\/(-10). Suppose m + 365 = 5*n. Let o = n - 30. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5}. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*j**2 + 30308*j\/3 + 6736\/3 = 0. What is j?\nAnswer: -2\/9, 1684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-80)\/(-12) - (10 + 1960\/(-42))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/29797 and 35\/59?\nAnswer: 1758023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 6*x + 1. Let g(f) be the second derivative of f**4\/12 - f**3\/6 + 2*f. Let j be (2 + -6)*4\/8. Let i be g(j). Calculate o(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-161)\/(-21) + -8)\/(9\/162) + 56370?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 + 75. Let y = 43 + -47.8. Let o = y - n. Which is the third smallest value? (a) -1\/3 (b) -3 (c) o (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/6 + (12 - (3 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 118 + -3?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-2))\/(11\/(77\/(-49))))\/(3410\/(-77))?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 146*s + 730. Determine y(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43*m - 41*m + 45 + 64*m - 144)*(-5 + 0 + 3) to n*m + u and give u.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -15. Let d = -5 - -5. Which is the nearest to -1? (a) -3 (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 4 = -2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 11, -8?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (11 + -1 + -15 + -10 + 19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 3.02. Let f = 71 + -70. What is the second smallest value in b, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.44 + 1.94. Let z = -6.07 - -0.07. Let h be 15\/(-54) + (-2)\/(-4). Which is the third biggest value? (a) z (b) y (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 12 = 3*p, 56*k + 10 = -5*p + 51*k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 58 (b) 1\/4 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 210 divided by -2\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231 a factor of 4442690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2. Let v(d) = -d**2 + 9*d. Let i(h) = 2*h + 2*h - 5*h + 3*h. Let c(o) = -9*i(o) + 2*v(o). What is j(c(r))?\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75 - 87 + 135 - b)*(-10*b**2 + 26*b**2 + 6*b**2) - 5*b - b**3 + 7*b - b**3 + 4*b**2.\nAnswer: -24*b**3 - 590*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1525 is divided by 507?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (144\/(-756))\/((-2)\/7*(-660)\/100*-5)\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7776*u**3 + 3837*u**3 + 3930*u**3.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163892, -163889, -163886, -163883, -163880?\nAnswer: -163877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**2 + 19 - 11 - 10 + 2*r**3 to l*r**3 + a + f*r**2 + v*r and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*o + 145*o + 985*o as g + n*o and give n.\nAnswer: 1215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 833*x - 829*x - 4 = -0, -3*x = 8*w + 137 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 3*i - i)*(-i + 0*i + 4*i + (1 - 1 - 2)*(2*i - 3*i + 0*i)) - i**2 - 4*i**2 + 6*i**2.\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m + 1. Let o = 3629 + -3602. Suppose 0 = 4*x - 2*x + 60. Let y = x + o. What is d(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1 - (-6 + 21)) + 1 + 53.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 take away 9794482?\nAnswer: -9794482.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4477, -8964, -13465, -17986, -22533?\n\"Answer: -s**3 - s**2 - 4477*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 8*k - 3. Let i(d) = -2*d**2 + 25*d + 8. Let n(h) = 226*h - 218. Let j be n(1). What is j*b(y) + 3*i(y)?\nAnswer: 2*y**2 + 11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -e7 (base 15) in base 9?\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (92\/(-69))\/(4\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-837173)\/480564 + (-4 - (-46)\/8).\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 61247940 divided by -235569?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/((-420)\/(-91)) + (-18)\/15. Which is the biggest value? (a) 3.25 (b) z (c) 4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*m + 7 = q, -q + 2*m + 5 = 0. Which is the closest to q? (a) -0.4 (b) 0.5 (c) 112 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 4*n**2 + 12*n + 1. Let k be o(-6). Which is the nearest to 2\/21? (a) -0.2 (b) -2\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-360)\/(-1260) + 16\/(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4553 is divided by 123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*n**3 - 239*n**3 - 72 + 22 + 29 + 21.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -21 + 6 - -9) + 9 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, j: 11, e: 2}. Give prob of sequence ee.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 1. Let q be x(6). Let r(h) = 0*h**2 - 182 - 17*h + 16*h + h**2 + 172. What is the units digit of r(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2649 and 210441858.\nAnswer: 2649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.4, 3, -2\/7, -0.0266?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 3. Let x be n(4). Let o = x - -15. Solve o*d + 4*u = 7*d - 18, -4*d = 4*u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*a + 3740 + 5836 = 73*a + 110*a for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/21 - (-3 - (-1172)\/560).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3080?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7317 - -5?\nAnswer: -7312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/sqrt(4)*5 + (sqrt(252)*-2)**2.\nAnswer: 5*sqrt(7) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6994810 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40552 + 264*c**3 + 40552 - 213*c**3 + 329*c**3.\nAnswer: 380*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -22. Suppose f = 4*r - 75. Let g be (23 - r)*-2*1\/1. Solve -g*y - 11 + 3 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = -4*g, r = -3*g + 2*r + 5. Determine p so that 245 - 27*p + 135*p**g - 130*p**2 - 43*p = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 10*i**2 - 13*i + 24. What is x(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0884 + -0.1884. Let t = -53 + 476\/9. Put t, -4, 2\/3, l in decreasing order.\nAnswer: 2\/3, l, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 537, 1069, 1601?\n\"Answer: 532*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*c, -i - 9*c = -57*c - c + 174 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*s + 27 = 0, -3*l = -2*s - 2*s - 26. Suppose -w - 2*a = -9, 4*w + l*a = a + 15. Suppose -w*d + 7*d = 0. Solve -4*c + 1 + 3 = d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-11)\/(-33))\/(1\/48). Let n = r + -12. Are n and 11\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 232594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**9*p*p*p\/p**10*p assuming p is positive.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)*1)\/sqrt(5))\/sqrt(7) - (sqrt(60)\/sqrt(3) + sqrt(5) - (sqrt(80)\/sqrt(2))\/sqrt(8)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**3 - 2*x**2 - 123*x + 250. Give n(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1815*v = 1715*v. Put 4, 1804, -2, v in decreasing order.\nAnswer: 1804, 4, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-658)\/30 - 6\/(-10). Let s = p + 22. Factor 2\/3*g**3 - 2\/3*g - s + 2\/3*g**2.\nAnswer: 2*(g - 1)*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rirlqrrqlrqeer. Give prob of sequence qrr.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -1792941.9?\nAnswer: 896470.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (-11)\/3)*(202 + -199). Solve -5*m + p*z = -0*m + 25, 1 = z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 105 + -66. Suppose 7*w = 52 + n. Solve s - 4*z - w = 0, 0 = s + z - 1 + 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -78 - 123. Let i = 372 - v. Let u = -120 + i. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 1179.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (sqrt(5) + sqrt(10)\/sqrt(2)))*-4 - 2*sqrt(180))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -3637.464793?\nAnswer: 3637.264793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 4*x + 2*r + 16, -x = 5*r - 9. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hssppss. Give prob of sequence hs.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -315 + 28351\/90. Let s(g) be the second derivative of 2\/27*g**4 - 4\/27*g**3 + 0*g**2 - x*g**5 - g + 0. Factor s(f).\nAnswer: -2*f*(f - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a**2 - 29*a - 65. Determine x(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.24 - -0.54. Sort -7, -3, a in increasing order.\nAnswer: -7, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 25654*z**2 + 82253136*z + 82278792.\nAnswer: 2*(z - 6414)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -377 + 374. What are the prime factors of p\/1 - 170*(1 + -5)?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2969*a**2 - 3507*a - 8. Let r(i) = 8910*i**2 + 10521*i + 28. Let j(y) = 7*l(y) + 2*r(y). Find the second derivative of j(h) wrt h.\nAnswer: -5926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**3 - 3*q**2 + 2. Let h be j(2). Let v = 8 - h. Suppose 0 = r - v*r. Solve r*w + w + 5 = 0, 2*w + 10 = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4539 + i - 82*i**2 - 4539.\nAnswer: -82*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -10\/51?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 23383\nAnswer: 2\/23383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:00 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 55. Suppose 41 = 4*v - c. Suppose -5*o + 74 = -2*s + 7, -v = -4*s. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -229002 and -0.01?\nAnswer: 229001.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38378 is divided by 38376?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -15. Suppose 111 = x*w - 126. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32.366 + -0.134. Let l = t + 33. Sort -0.5, l, 1\/13, -0.3 in decreasing order.\nAnswer: l, 1\/13, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575742 is divided by 208?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(18\/12)*180. What is c rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**4 + 8*c**4 + 6*c**4 + (10*c**2 + 12*c**2 - 2 - 8*c**2 + c)*(-c**2 - 3*c**2 + 3*c**2) in the form q*c**3 + f*c**4 + b*c**2 + a*c + l and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4\/5 - 7871952*h**3\/5 - 3*h**2\/5 + 23615854*h\/5 + 15743904\/5 = 0 for h.\nAnswer: -1, 2, 7871952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/8)\/(a\/(a*a\/(a*a*a\/(a\/(a\/a**(-2\/25)))*a))))**(-47) assuming a is positive.\nAnswer: a**(25427\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -19*q + 10. Calculate the least common multiple of 27 and k(-11).\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2632 divided by -658\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 53*f**3 + f**2 - 1. What are the prime factors of z(1)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/8 and -210 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.23 + -0.23. Let a = -2.5 + q. Let b = a + 1.4999968. What is b rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-46668)\/(-12) - (5 - -3 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -5 + (-4 - (-9 - 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-16) + ((-64757)\/(-116))\/29.\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7280, -12, 16 in decreasing order.\nAnswer: 7280, 16, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 9:55 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from isiossooosoossovss. What is prob of picking 4 s?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 52031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118 + 123. What is the second derivative of 5*s**3 - 54*s - 6*s**3 + 72*s**a - 45*s - 27*s**5 - 54*s wrt s?\nAnswer: 900*s**3 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 125496 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 3:21 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413 = -3512*c + 3519*c. Calculate the remainder when c is divided by (232\/261)\/(2\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**3 + 123*f**2 - 305*f + 121. Calculate g(-33).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 3*x**2 + x. Let p be r(2). Suppose -3 = -h + p. Calculate the highest common factor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339219059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 254232 (base 7) in base 8?\nAnswer: 134010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 10 = 2*d, -5*d - y - 67 + 39 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-25) + (-88)\/110. Solve 4*s + 2*d + 22 = 4*d, g = -3*s + 4*d - 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 2*j, -4*t - j + 6*j = 33 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.21 - -5.38. What is t rounded to 1 decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2\/5 + 778*d\/5 - 23496\/5 = 0. Calculate d.\nAnswer: 33, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 78, 741, 2016, 3909, 6426, 9573, 13356, 17781?\n\"Answer: x**3 + 300*x**2 - 244*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99 - -98.99937. Round k to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -3*t**5\/5 + t**3 - 32. Factor b(i).\nAnswer: -3*i**2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.224 times 221?\nAnswer: 49.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -2\/3*k**3 - 29 + 10*k - 4*k**2. Suppose p(o) = 0. Calculate o.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1337056 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*o**3\/3 - 164*o**2\/3 - 16*o.\nAnswer: 2*o*(o - 12)*(7*o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 24. Does 19 divide -3 + 102 + 3 + (-21)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**6\/33 - 12*p**5\/55 - 15*p**4\/22 - 16*p**3\/33 + 219. Determine j so that n(j) = 0.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 65056886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -2*p**5\/15 - 13*p**3\/2 - 2*p**2 + 935*p. Let x(y) = 3*y**2. Determine a(x(d)).\nAnswer: -72*d**4 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*u = 2 - 3, -20 = -5*u. Let q be t + 4\/2 - -11. Suppose 0 = -s - 0*s + q. Solve 0 = -0*j + 5*j - s, 3*o + 5*j = 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5851375, 5851321, 5851267, 5851213?\n\"Answer: -54*t + 5851429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 7. What is the smallest value in -4, h, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*k - 181 - 107 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 970 <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1294146 and 2016?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-2 + 2)) + -5 - (-20 + 22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 5*w**2 - w - 5. Let x be g(-5). Let o = x + 2. Let r be 1 + 40\/10 + 27 + 1. Solve 5*q + r = -0*a + o*a, 5*q + 5 = -5*a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*v + 5. Let w(a) be the third derivative of 5*a**4\/24 + 4*a**3\/3 - a**2 + 3*a. Let q(r) = 0*r + r + 0*r + 2. What is v*q(x) - 2*w(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 141\/27 + (5 - 10).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -139.00088 - -139. Round d to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4272)\/4984)\/(3\/7 + 1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -769 + -1?\nAnswer: -76a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**6*z)**(-48))**29 assuming z is positive.\nAnswer: z**(-9744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.896?\nAnswer: -0.3584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*k + 38. Let l = k + 63. Is 25 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -10\/949329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -1, -4, 0.05, -3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 0.9293 (c) 52 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**3 + 80562*w**2 - 14403417*w - 14483982 = 0?\nAnswer: -1, 181, 26674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**5\/60 - 5*x**4\/24 + x**3\/3 + x**2. Let y be g(5). Suppose -v = y*v - 21. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 + 7*f - 1. Let i(a) = -2*a**2 - 3*a + 1. Determine -2*d(y) - 5*i(y).\nAnswer: 2*y**2 + y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336 and 52.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*(-4 + -5*(-2 + sqrt(1573) + -1) + 5)**2*-3.\nAnswer: -10560*sqrt(13) + 237486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -392614*p**3 - 411697*p**2 wrt p.\nAnswer: -2355684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + 2 + 5 + 18 - 23.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 16*b**3 - 244*b**2 - 416*b.\nAnswer: b*(b - 26)*(b + 2)*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11206*r + 22438*r - 5337 - 11232*r - 3*r**4 - 4294*r**3 with respect to r.\nAnswer: -12*r**3 - 12882*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 560*j**2 - 573*j - 8. Give f(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 574 + -572. Find the second derivative of 9*c**2 + 5*c**2 + 7*c**2 + 10*c**o - 18*c**2 - 125*c wrt c.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26806?\nAnswer: 2, 13, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 184 + -244. Let h = 146 + z. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (756\/(-49))\/6 + 1*3. What is the closest to 1 in 3\/2, -3\/7, s?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211120 (base 5) in base 2?\nAnswer: 1101101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -131 - (71 + -58) - -31.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*x**2\/21 - 326*x\/21 + 32\/7.\nAnswer: 2*(x - 16)*(10*x - 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 2*o - 9. Let x be j(-3). Solve -3*s - 7 = -5*y + 7, -3*s - x = -3*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82 - -79. What are the prime factors of 3 + u - (-2 - 163)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*x + 2. Suppose 3*d - x*z - 16 = -3*z, 10 = d + 5*z. Suppose -d*j + 66 = -4. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -4, -465986?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-24))\/b**(-18)*b**(-1\/3)\/(b**(-6\/7)\/b*b) assuming b is positive.\nAnswer: b**(-94\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -57689.\nAnswer: -57688.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8320.9 (b) -1\/11 (c) 7 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**2*o\/o**(2\/63))**(-47) assuming o is positive.\nAnswer: o**(94\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i. Let v(s) = 2*s**2 - 4*s + 1. Give -3*j(b) + v(b).\nAnswer: 2*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2276*f**3 + 120*f**2 - 8*f - 5. Let m(l) = -3416*l**3 + 181*l**2 - 12*l - 8. Let g(j) = -5*m(j) + 8*x(j). Find the third derivative of g(n) wrt n.\nAnswer: -6768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286375021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 7:53 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 7*n**4\/24 + 3*n**2 + 5*n. Give o(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836\/624917 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 2\/5, -21, -12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6240*m**6*x - 3842*m**6 + 62517637*m**2*x - 2*m*x wrt m.\nAnswer: 748800*m**3*x - 461040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2008 - -2035. What is the least common multiple of b and 219?\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 6*b - 65. Let o = 22 - b. What is the remainder when (-48)\/(-10)*(-20)\/(-6) is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*p**3 - 71*p**3 + 3*p**4 + p + 14*p + 583 - 14*p as f*p**2 + q*p**4 + m*p**3 + y*p + c and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8580 and 1929200.\nAnswer: 63663600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779 is divided by 407?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**4\/17 + 59132*a**3\/17 - 55752450*a**2\/17 = 0.\nAnswer: 0, 975, 28591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 8. Let h(a) = -a - 8. Let g be h(0). Let z be (4\/(-33))\/(g\/12). Which is smaller: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1351 + 4?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43062 + 108 = 6*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1180499*z**4 + 63*z - 11676.\nAnswer: 14165988*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x + 5*n - 382, 4*x - 824 = 5*n. Let o be (x\/2)\/((-1)\/(-2)). Let r = 356 - o. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -42 (b) -0.5 (c) -0.2 (d) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k. Let p(a) = -24*a - 2*a - 6*a - 5*a. What is c(p(l))?\nAnswer: 259*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 7) in base 12?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 0*h - 1\/30*h**5 - 7 + 8\/9*h**3 + 5\/18*h**4 - h**2. Suppose s(u) = 0. What is u?\nAnswer: -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/6 and 109\/13940.\nAnswer: 41820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*x + 4 = -2*s, -4*s + 13 = x. Suppose -s*j - 98 + 322 = 0. What is the greatest common divisor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23047 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.92 + 12. Let s = p + -0.09. Round s to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*p - 27. Suppose p*r = -2*r + 312. Let z = 3 - -10. What is the highest common factor of r and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*r = 3*n - 13, 5*r + 5 = -3*n. Calculate the remainder when (-276)\/(-10) - (-2)\/n is divided by (-4 + 12)*(-5)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 50 + 490. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 40*g**2 + 438*g - 139. Give u(-49).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23227 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*b + 8*b. Let c(y) = -36*y - 5 + b + 32*y. Let u(i) = -i - 1. What is c(s) - 3*u(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, m: 2, g: 1, j: 1, i: 1, a: 1}. Give prob of picking 1 m, 1 i, 1 j, and 1 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 8*d**2 + 14*d + 20. Let p be a(9). What is the first derivative of -2*b**3 + 38 - 21*b**4 - 13*b**4 + 2*b**3 - p wrt b?\nAnswer: -136*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 149 + -123. What is the units digit of (-68)\/(-5)*65\/u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49604.522 * -0.5.\nAnswer: -24802.261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48109031 to the power of 1\/2, to the nearest integer?\nAnswer: 6936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -61 times -1\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 - 6*o**2 + 7*o + 8. Let q(u) = -u**3 + 2*u**2 - u - 1. Let a(b) = p(b) + 4*q(b). Let s be a(-2). Solve -7*l + s*l = -15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-2)\/12 - 18\/(-20).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001278 to six decimal places.\nAnswer: -0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3 + 0 - 3 + 2*q. Let d(i) = i + 2. Let r be d(0). Let j(o) = o - 1. Let n(x) = -x + 2. Let m(t) = r*j(t) + n(t). What is h(m(b))?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10185565 = 12*d + 6313235. Round d to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 185471.356 and 0.5.\nAnswer: 92735.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68 - -31) + -16 - -53.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 13 = 1. Suppose 3*i + 6*d - 34 = r*d, 5*i - 65 = -5*d. Suppose -2*p - i + 42 = 0. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*f + 2\/17*f**3 + 2\/17*f**2 + 0.\nAnswer: 2*f**2*(f + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 574.2679\nAnswer: -2297.0716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2072\/(-12))\/(2 - 4). Let r = 87 - o. Suppose 4*p + 0*p = 8. Which is smaller: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*n**5\/3 - 80*n**4\/3 - 22*n**3 - 20*n**2\/3 - 2*n\/3.\nAnswer: -2*n*(n + 1)**2*(4*n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1805799 rounded to the nearest 1000?\nAnswer: 1806000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.104687905198263 less than 3?\nAnswer: 2.895312094801737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2805582 divided by 39\nAnswer: -71938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 + 42 - 6)*(7*q + 16*q + 21*q + (0 - 3 + 1)*(-1 + 1 + q) + (-q - q + 0*q)*(2 + 1 - 2) + 2*q - 3*q + 2*q) as x + i*q and give i.\nAnswer: 2460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 8:12 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/(-10) - 644\/(-140))*38.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a5f - 1?\nAnswer: a5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -65, -54, -39, -20?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/28*690\/2. Let y = -87 + q. Suppose -3*k = -0*h - h - 4, -20 = 5*h - 5*k. Sort y, h, -3 in decreasing order.\nAnswer: y, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -1\/3 (c) -3\/8 (d) 4\/3 (e) -2\/7 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 13195.666 to the nearest 10.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -192\/7*x**2 + 0*x + 3\/7*x**3 + 0 = 0.\nAnswer: 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-504)*-6*-3\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5317.1 - -5317. Let d = 0.2 - 0.3. Which is the closest to d? (a) 3 (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.854059 days?\nAnswer: 73790.6976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 1\/553, -0.3771?\nAnswer: 1\/553","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -57*n**3 + 53*n**2 + 38*n - 13. What is g(-1)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence icca when four letters picked without replacement from {i: 6, c: 8, g: 1, a: 2, v: 1}?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9064 - -9082. Calculate the least common multiple of 14 and l.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 4*a + 3. Calculate the smallest common multiple of 4 and s(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-1)\/((-2)\/3). Let i(x) = x + 1. Let g be i(w). Solve -g*d + 2 = -2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6758719 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 15 = 5*b, 15*b = 23*b - 10*b + 758*k - 18946 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**4\/6 + z**3\/3 - 2*z**2. Suppose -4 - 4 = -4*r. Calculate c(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010 + 100011111?\nAnswer: 101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1350 (base 7) in base 11?\nAnswer: -438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -728653, -728648, -728655, -728674, -728705, -728748, -728803?\n\"Answer: -6*f**2 + 23*f - 728670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h. Let v(g) be the third derivative of -g**5\/4 - 193*g**2. Give v(y(u)).\nAnswer: -960*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.6522299 days?\nAnswer: 56352663.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**6\/60 - 21*z**5\/20 + 6*z**4 - z**3\/3 - 18*z**2 - 5. What is the second derivative of h(l) wrt l?\nAnswer: -12*l - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 2\/90583 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*x**2 + x**3 + 17*x**2 + (-5 + 3 + 0)*(-3*x**3 + 11*x**3 + 5*x**3) as f + g*x**2 + h*x + r*x**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12192 - -11978. Which is smaller: j or -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15975691 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3*x**3 + 0)*(1 + 1 + 1) - 4*x**3 + 2*x**3 + 0*x**3 + (-3 + x + 3)*(10 - 10 - 4*x**2) to the form a*x + m*x**2 + w*x**3 + o and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3067701923\/765995140 + 57325\/56909. Let m = 32\/673 + s. What is the common denominator of 41\/14 and m?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428*j = 433*j + 165. Let w(l) = l**3 - l**2. Let v(p) = -22*p**3 + 33*p**2. Give j*w(a) - v(a).\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -134144?\nAnswer: 134142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 170 = -4*x, -5*x - 3*k + 217 = -4*k. Let i = 37 - x. Is -1 + i\/(-9) + (-15200)\/(-36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 3023684\nAnswer: 3\/3023684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19806588181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/60 - (-12)\/5. List the prime factors of z\/12 + (-555)\/(-18).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.8 (b) -5 (c) -16 (d) 13 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4)*(z**8*z)\/z*z*z*(z*z**(-1\/2)\/z)**(2\/7)*(z**(-6)*z*z\/(z\/(z**10\/z)*z)*z)**(-32) assuming z is positive.\nAnswer: z**(-855\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 382976968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3941? (a) 0.5 (b) 2\/19 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8387*d**4 + 1864*d**2 + 1037*d**2 + 10569*d**4 wrt d?\nAnswer: 52368*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2710061 + 1355030 + 1355031 - 659*q**2.\nAnswer: -659*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 3*t - 5. Let n be p(-5). Solve -5*l = 2*b + 2 + 28, 0 = -4*b - n*l - 40 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 309*n + 189*n + 5*n**2 - n**2 + 116*n.\nAnswer: 2*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7548914 or 166076115\/22?\nAnswer: 166076115\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -1\/8*g**4 + 0 + 8*g**2 - 3\/20*g**5 + 1\/40*g**6 + 1\/70*g**7 + 0*g + g**3. Find q such that n(q) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 - 543*r + 24254. What is x(80)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*p**3*x - 3204529*p**2*t*x - t*x + 2*x + 187803 wrt p?\nAnswer: -6*p**2*x - 6409058*p*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 6*a**2 - 6*a - 5. Let c be l(7). Suppose 5*y = 3*n - 627, c*y - 3*n - 2*n = -247. Let t = y + 137. Solve 3 = -h, 3*k + 4*h = 2*k - t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.3718577202+0.407\nAnswer: 19.7788577202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.79 - -0.49. Which is the nearest to -2? (a) -0.4 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.331197741 to 2 decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 0.318 (c) -3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j. Let v(c) = 5*c**2 - 8*c. Let l(p) be the second derivative of -p**4\/6 + p**3\/2 + 4*p. Let q(s) = 8*l(s) + 3*v(s). Determine t(q(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 786, 1558, 2294, 2976, 3586, 4106?\n\"Answer: -3*w**3 + 793*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((2254\/(-14))\/23)\/((-2)\/126). What is the highest common divisor of 315 and g?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.44 - 0.04. Let u = r - 0.6. Let x = 54926 - 54930. Which is the nearest to 0.1? (a) u (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 11:49 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -5*z**2\/2 - 54869*z\/2 - 13689238 = 0.\nAnswer: -52249\/5, -524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 1877*z - 9350. Let x be d(5). Let r be (-20 - 2)\/((-4)\/14). Let q = r - -3. What is the greatest common factor of q and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 12 + 26*u**3 - 14*u**3.\nAnswer: 12*u**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3505 is divided by 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**2)**23\/(((w**(-3\/5)\/w)\/w)\/w**(-1)))\/((w**0)**(-5\/13)\/((w*w**(-2\/19)\/w)\/(w**(-1\/7)\/w))) assuming w is positive.\nAnswer: w**(-13541\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-27) - (-8)\/3. Suppose t*r - r = 98. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: a1b03b (base 14) to base 4\nAnswer: 110301303231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14 + -1)*(-11 - (-4 + -284)).\nAnswer: 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 10. Suppose -4*p + t - 12 = d, p + p + 3*t = -6. Let r(w) = -w**3 + w**2 + 1. Let s be r(0). What is the closest to s in -5, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2401738 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + (sqrt(20))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(171) + 1)*1 - sqrt(171)) + 0 - (4 + -2 + (0 + sqrt(38)\/sqrt(2) - (-2*sqrt(304))**2)).\nAnswer: -sqrt(19) + 1212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 12*y - 30. Calculate the remainder when 42 is divided by v(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34 times 0.02?\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-50))\/(4\/12).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 47*d. Is z(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -4, -5, 3, -2 in increasing order.\nAnswer: -44, -5, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*t + 24*t - 414 = 4241. Let v(c) be the second derivative of 3\/20*c**5 + t*c + c**3 - 3\/4*c**4 + 0*c**2 + 0. Factor v(z).\nAnswer: 3*z*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 6*x**2 + 13*x - 10. Let s(k) = 3*k**3 - 18*k**2 + 38*k - 29. Let a(i) = -11*j(i) + 4*s(i). Does 12 divide a(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 448*a**2 - 4 - 99*a**2 + 138*a**2 + 1 as v + x*a + f*a**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -48, -62, -82, -108, -140, -178?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 99, 200, 301, 402?\n\"Answer: 101*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from {t: 4, d: 2, h: 2, q: 1, w: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 12*t**2 - 13*t + 25. Let f be g(11). Suppose -f = 6*c - 3*c. Let r be ((1 - -2) + (-4 - c))\/(-2). Solve r*h - 5*h = -10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 20. Solve 16*x - 33 = p*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**2. Let p(o) = 60*o**2 + o + 14. Let t(q) = p(q) + 6*w(q). Find the second derivative of t(c) wrt c.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -3. Let q(p) = -p**3 - 2*p**2 - p. Let x be q(f). Solve -2*s + 1 = -6*s - 3*l, x*s - l - 7 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.3 - -0.3. Let y = 11 - 7. Suppose -5*r - 23 - 2 = -g, 4*g = r + 24. What is the smallest value in v, g, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -268 + 269.9. Let m be 24\/27 - (-2 - -3). What is the second smallest value in d, -0.3, m, -1\/12?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*j + 1 = -94*j - z, 0 = 5*z + 15 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 0 + -5 + (-5 - -10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 21. Suppose -58 = -4*a + 14. Let x be f(a). Factor 4*c**x - 4*c**3 - c**3 + 6*c**4 - 2*c**3 - 3*c**5.\nAnswer: -3*c**3*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*r**2 - 88*r**2 - 2*r**3 + 474*r - 3*r**3 + 18*r**2 in the form g*r + d*r**2 + b + m*r**3 and give g.\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -2\/21, 11, -2, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6732 - 2084 = 387*m - 83*m for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/95 - (0 - 1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 36, 1004 in ascending order.\nAnswer: -2, 36, 1004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = i + 222. Suppose -2*r + x = -30, 4*x + i = -5*r + 99. Solve k + 3*q + 2 = 0, -10 - r = 5*k + q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27913 + -27916. What is the closest to 10 in 2, 0.1, 0.08, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41*i**4 - 242?\nAnswer: 164*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 - -6. Let b = g - 13. Let x = -45 - b. What is the highest common divisor of x and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**4\/4 + 9*g**2\/2 - 469*g. Let m(h) = -11*h**2. Determine y(m(s)).\nAnswer: -363*s**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 + 5 - 2*s**4 + 5*s**3 + s - 12 + 4 - 3*s + 3*s**4 in the form i + f*s + g*s**3 + x*s**2 + k*s**4 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 6*l - 2*l - 134, 0 = -5*w - 3*l + 138. Let j be w\/45 + (-10)\/6. Let b be (2 + 50\/(-24))*-2. Is j equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38597662 + -4\nAnswer: -38597666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 6*r + 4. Suppose -8*m + 3*m - 5*b - 65 = 0, -4*b = 2*m + 36. Calculate the remainder when 38 is divided by z(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 + (-42)\/(-8). Suppose 1 = -3*f + 4*z, 2*f - o*f = z - 19. Calculate the highest common factor of 40 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223 (base 7) to base 3.\nAnswer: 11021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**3 + 63148*h**2 + 25084020*h + 2460521700 = 0. Calculate h.\nAnswer: -195, 16177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -49*b**5\/15 + 23*b**4\/3 + 2*b**3 - b**2 - 139. Let a(o) = 0. What is o?\nAnswer: -3\/49, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 - 62. Suppose -y + q = -121, -q = -4*y - n*q + 479. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383520 is divided by 381478?\nAnswer: 2042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w - 2*w + 4*w. Let j(n) = 6*n - 3*n**2 - 2*n + 8*n. Let r(o) = o. Let p(u) = -j(u) + 12*r(u). Calculate p(k(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27*((-6)\/(-2) - 260\/3). Let v = -1498 - f. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 11. Suppose -n = a + h*n - 1, n = -a + 17. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {z: 4, r: 4, x: 12}?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 19*w - 7. Let v = 18691 - 18708. Give b(v).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -16334*o + 163343. Calculate x(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 180\/13 (c) 142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 44, 49, 36, -7?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2\/7, 0.5, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**4\/66 + 90*q**3\/11 + 18225*q**2\/11 + 238*q. Factor a(h).\nAnswer: 2*(h + 135)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3506226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 808415666 to the power of 1\/2, to the nearest integer?\nAnswer: 28433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**2\/2 + 20*l + 4. Let o(m) = -m**3 + 11*m**2 - 2*m + 15. Calculate the remainder when o(10) is divided by d(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/31 - -28\/93. Which is smaller: 2\/7 or u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 16*w + 17. Suppose -4*o - 87 = -223. Suppose p = -p - o. Let q be i(p). Solve q*l - 33 = -5*m + 4*l, 4*m - 10 = -5*l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 225*y + 21. Suppose 0 = -13*q - 146 + 510. Suppose 2*k + q = 3*v, -v + 8*k = 4*k - 26. Is b(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 5 - (-3)\/((-9)\/(-39)).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 94 = q, 0 = -5*z + q + 62 + 60. Suppose 8 = 2*y - z. What is the remainder when 47 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 153161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000078698104 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 920907 - 920908.900092. Let c = 1.9 + l. Round c to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -46, -34, -24, -16?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4\/5 + 1521*x**3 - 253686*x**2\/5 + 1402128*x\/5 = 0.\nAnswer: -2568, 0, 7, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 57.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 + r**3 - 3*r**3)*(1 - 4 + 0 + 3 - 5 + 6 + 1 + 2 + 1 - 2 - 2 + 2 + (0 - 3 + 2)*(0 - 1 + 0)) - 4*r**3 + r**3 + 2*r**3.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3*z + 4 + (z + 0*z + 0*z)*(0 + 0 + 2) - 2*z + 2*z + z)*(-2*z**2 + 1 + z**2 - z**2).\nAnswer: -12*z**3 + 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -598 = q - 603 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**2 + 3*v - 3. Let l(y) = y**3 - 4*y**2 + 19*y - 33. Let w be l(2). Calculate p(w).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0 (c) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 7:39 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i - 8592 = -45*i. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 26, -81575 in decreasing order.\nAnswer: 26, -2, -81575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1279 - -1245. What is the second smallest value in u, -0.01, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.272 (b) -5 (c) 0.1 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 + 10*f**3 + 4*f + 3*f**3 - 6*f in the form o + d*f**3 + x*f**2 + r*f and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26923, 26744, 26499, 26194, 25835?\nAnswer: 25428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1003 and 5814.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, t: 16}. What is prob of picking 4 u?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 + 48*a\/5.\nAnswer: -2*a*(a - 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*x = -91*x + 649. Calculate the remainder when x is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*r - 5*b + b, -r - 2*b + 9 = 0. Let v = 37 - 40. Let u(y) = 4*y**2 - 7*y - 12. Let a be u(v). What is the greatest common factor of r and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17148418.\nAnswer: 2, 7, 1224887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*12\/(-36)*(-24)\/28.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**6\/36 + 3*x**5\/40 + x**3 - 14. Let h(o) be the third derivative of j(o). Find the second derivative of h(c) wrt c.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 4. Let j = -2.1 + 2. What is the third smallest value in -2\/5, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 8, 5*m - 2*m + 5*b - 29 = 0. Suppose -3*f = -2*f - 2*g - 253, -3*g + 750 = m*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 52596640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**2 - 21963*h - 21960 = 0.\nAnswer: -7320, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 7:47 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7855342 by 1166.\nAnswer: -6737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgi when three letters picked without replacement from ttgjiigitxvttgxgiig?\nAnswer: 125\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 12611856?\nAnswer: 12611853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -k - n - 1, 4*n + 18 = 2*k. Suppose 1675 = -k*p + 10*p. List the prime factors of p.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -0*b + 20. Let t be 11\/(-30) - (-1)\/b. Which is smaller: t or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16905\/11 or 1536?\nAnswer: 16905\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*b - 334 = 80*b + 2510 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, 104, -0.5, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 26. Suppose 5*c + 25 = 3*j, -2*c - c - y = j. What is the units digit of 10 + 1 + (c - -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0135007918 rounded to 4 dps?\nAnswer: 0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2420*w = -740*w - 70560 for w.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 400 and 36.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.3. Let p = -307 - -302. What is the closest to g in 5, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8593, -17590, -27003, -36844, -47125, -57858, -69055?\n\"Answer: -2*v**3 - 196*v**2 - 8395*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 113*j - 108*j = -450, 886 = 2*z + 4*j. List the prime factors of z.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -749, -620, -491?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32110.03 millennia to centuries.\nAnswer: 321100.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/18)\/((-5)\/(-13))?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 503 = 3*o + 4*s - 14*s, 4*o - 142 = 5*s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abmbbuubmbumdla. Give prob of picking 1 a, 1 l, and 2 b.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 8:53 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45359626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 168 - 637. Let n = 241 - 218. What is the highest common divisor of v and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -9) + -1 + (-177 - -169).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13280)\/(-240) + (-7)\/3. Suppose 3*t = t - 10. Let f = k + t. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 183?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129191 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*g - 29*g + 52*g + 154. What is the remainder when 459 is divided by g?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85370, 170578, 255752, 340892, 425998?\nAnswer: 511070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/72*8\/(-27)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7442*s + 8122795 = -7327*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/15*485\/8. Let k = 2409\/200 + y. Let h = -83 + 82. Is k bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3018 - -3017.999244. What is w rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 78 = -4*y + 2*y, -3*l - 170 = 2*l + 5*y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-10) + (-9)\/90. Let v(t) be the second derivative of 0*t**2 + 0 - u*t**3 + 2*t + 1\/8*t**4 + 3\/40*t**5. Let v(b) = 0. Calculate b.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 196 or 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 186179735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/2*9\/(-27))\/((-552)\/(-414)).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 0 - (0 + 1). Let d = i + -2. Suppose 0 = 3*q - 5*p - 26, -14 = -2*q + 5*p - d. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 + 48*d**2 + 27*d**2 + (0*d - 3*d + 5*d)*(-2*d - 3*d + 3*d) + 359 - 359 + 72*d**2 as g*d + n*d**2 + l and give n.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = -0*l - 5*p, 0 = -3*l - 3*p - 15. Let r be -16*l\/(-16)*-2. Suppose 3*i + r - 276 = 2*f, 4*f = -5*i + 432. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4 = -5*q, 7*q + 1 = 2*q + 2*c. Let m = q + 4. Suppose -2*u = -2*o + 38, 0 = 2*o + o - m*u - 55. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26072, 105874, 238876, 425078?\nAnswer: 664480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 2\/873, 5\/16, 0.6?\nAnswer: 2\/873","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.3 + -146.3. Let p = 151.439 - 1.839. Let r = z + p. What is r rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/11 (b) -2\/7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96899?\nAnswer: 11, 23, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/4 + (-2)\/4. Let h(b) = b**2 - 4*b + 1. Let q be h(4). Let r = w - q. Solve 10 = 4*m + 2*u, 2*m - u = r*u - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 3:42 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = 21*n + 78 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8274*y**2 - 16357*y**2 - 6*y**3 + 8222*y**2 - 1 + (-y - 2 + 2)*(3 - 3 - 3*y**2) to the form o*y + a*y**3 + s + w*y**2 and give w.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129022373?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -191268 (base 11) to base 16.\nAnswer: -47e43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2363 and 1447975.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4 + (0 - 2) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -489, -1038, -1641, -2298, -3009, -3774?\nAnswer: -4593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.3, 2, 6?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178346956.\nAnswer: 2, 37, 1205047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 greater than or equal to -33.62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 4*d**2 + 2*d**2)*(-2*d + 1 - 1) + (5 - 6 - 1 - 2*d**2)*(0*d - 2*d + 0*d).\nAnswer: 6*d**3 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11670 (base 14) in base 9?\nAnswer: -64178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -268798\/33 - -8144. Find the common denominator of -41\/6 and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-4*m + 2*m + 4*m - 16*m + 4012 - 4012 + 3*m - 1 + 1 + (-1 + 1 + m)*(0 - 1 + 2) + 7*m - 2*m - 3*m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/1681264 and -1\/35072?\nAnswer: 26900224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 105*h + 1440 - 5010. Calculate the greatest common factor of 1139 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/5, -0.3, 3, 160, -19?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1259991*z**4 - 7*z**2 + 4259*z?\nAnswer: -30239784*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/20*(-1230)\/492?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 510612192 and 336?\nAnswer: 3574285344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15040 and 88.\nAnswer: 165440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3 - 3)*(-2 + 0 + 1)*(0*b + 7*b - 3*b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269*p + 221*p + 5*p**2 - 2*p**2 + 178*p + 136*p - 480*p.\nAnswer: 3*p**2 + 324*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 5*f = -10*f - 18, 13 = t - 3*f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3605 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01792826*-155.\nAnswer: -2.7788803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 12 + 26 = 3*h, 0 = -2*h + v + 27. Calculate the greatest common factor of h and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k**2*k)\/(k**0)**(5\/3)*((k**(-2))**(-6))**(-50) assuming k is positive.\nAnswer: k**(-597)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -56939b6 (base 12) to base 4\nAnswer: -333120223122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**4\/12 + 4*u**3\/3 - 9*u**2\/2 - 3*u. Suppose -2*z - 14 = -t, 4*t + 3*z = -0*t + 12. What is the units digit of k(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + -5*(sqrt(117) + -1) - (3 + 1*sqrt(117))*6*2)**2.\nAnswer: 3366*sqrt(13) + 34902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -21*w**4 - 71*w**3 + 228*w**2 - 31*w + 7. Let h(f) = 49*f**4 + 165*f**3 - 526*f**2 + 72*f - 16. Let a(m) = -7*h(m) - 16*u(m). Factor a(p).\nAnswer: -p*(p - 1)*(p + 4)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 11) in base 12?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uju when three letters picked without replacement from uuj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*d - 2*d + d)*(2*d - 5*d + d) - 10*d**2 + 16*d**2 + 13*d**2 in the form x*d + v + k*d**2 and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2*-1 + (-351)\/18)*-26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 21*d. Let k be w(3). Let x = -20 + k. Let v = x + 67. What is the highest common divisor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4*n = -9*n + 24, -3*q - n = 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**3\/3 - 5*v**2\/2 - 2*v - 1. Let n be x(6). Suppose 0*q = -q + n. Solve 25 = -q*f - l, 0 = 5*f - 2*f - 3*l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b8 + -1a84?\nAnswer: -1b6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 248245776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g + g**2)*(7 - 1 - 4) - 38*g**2 - 1136 + 1136 + (2*g + g - 6*g)*(4*g - 3*g - 2*g).\nAnswer: -33*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m - 10*m - 1945. Let f be (m\/10160)\/((-3)\/6). Let a = f + 1\/127. What is the common denominator of -43\/20 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.1 - -1.2. Let o = 1.4 + r. Let u = -15 + 11. What is the second biggest value in 2, u, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-280)*(-35)\/10\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134 and 37654?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1285191218074 and 9.\nAnswer: -1285191218065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-641)\/(-844) - 12\/16. Is n less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/(62480\/(-71))*1*4*(-3)\/(-4).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -3, 3 in decreasing order.\nAnswer: 3, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42074696?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 460897, 460689, 460481, 460273, 460065, 459857?\nAnswer: 459649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2 - w**3 + 6*w**2 - 2 + 2*w - w**2. List the prime factors of u(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**3*w**(1\/5)*w\/(w\/(w\/(w*w\/(w*w**(2\/5)))))*(w**0\/w)\/w)\/((w\/(w\/(w\/(w*w**(1\/4)\/w)*w)))**(-1\/7)\/(w**(-4\/3)\/(w\/(w*w**2)*w))) assuming w is positive.\nAnswer: w**(-209\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 8*k - 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 + 7*h + 1. Let s be 30\/4*34\/(-51). Let j(t) = 3*t**2 - 5*t - 1. Let k be (-3 - -2)\/(3\/21). Determine k*j(x) + s*m(x).\nAnswer: -x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 658*d**3*w + 2*d**2 - 31*d*w wrt d?\nAnswer: 3948*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 - 19*i + 22. Calculate the remainder when f(-8) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a - 1. Let c(i) = 7*i - 4. What is c(q) - 6*m(q)?\nAnswer: 19*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 5*w**3 - w**2 + 9*w + 12. What is the hundreds digit of c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 315215 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270206 is divided by 16860?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.015 + 4.185. Let m = 4 - w. Which is the biggest value? (a) -0.1 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 18 = -2*n, 3*i - 10*n = -7*n. Factor -9\/2*v**4 + 0 + 0*v + 12*v**i - 6*v**2.\nAnswer: -3*v**2*(v - 2)*(3*v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-3)*(-22020)\/20552*12\/(-1665)?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*b + 30 + 5, k = 1. Let z be (-614)\/b + 4\/(-18). Suppose 4*a = 4*l + z, 0*a - 2*l + 22 = 2*a. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s + 22. Let x be m(-5). Find the third derivative of -5*o**2 + 7*o**x - 19*o**2 - 17*o**5 - 5*o**2 wrt o.\nAnswer: -1020*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 12:15 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, t: 2, l: 4, f: 1, c: 3, e: 4}. Give prob of sequence ef.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 20 = -f. Calculate the remainder when f is divided by 1 - (-13)\/(-11) - (-180)\/22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 413 by 7.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10389*t - 166331 - 10282 = 0 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2 + d**2 - d + 3 - 5. Let j be u(3). Factor -3*g**4 - 6*g**4 - 2*g**3 + 3*g**4 + j*g**2 + 2*g.\nAnswer: -2*g*(g - 1)*(g + 1)*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/14)\/((1242\/161)\/9)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7939251*-0.14.\nAnswer: -1111495.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223726100 rounded to the nearest 1000000?\nAnswer: 2224000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**7\/840 + h**6\/360 + h**5\/40 - h**4\/12 - 8*h**3\/3 - 4*h + 3. Let r(f) be the second derivative of m(f). Give r(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4307 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4\/5 - 556*w**3 - 19384*w**2\/5 - 30436*w\/5 - 2766 = 0.\nAnswer: -1383, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84*l**2*r**3 - 3*l**2*r**2 + 4*l*r**3 + 38*l*r wrt l.\nAnswer: -168*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 23. Suppose 34*o - 1804 = -a*o. What is the greatest common factor of o and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -9. Suppose 0 = j + r*z - 4 - 7, 0 = -5*j + 4*z + 111. What is the remainder when 73 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 27. Let j be (h - -4)\/(17 - 15\/5). Is 16 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*k + 26*k + 513*k**4 - 3*k**2 - 552*k**4 wrt k?\nAnswer: -936*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 8:57 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 4 = -2*s - 2*t, -3*s = 3*t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136114*j**2 - 163*j + 103 wrt j.\nAnswer: 272228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(108)*3 + sqrt(108))\/sqrt(4))\/((sqrt(27) + 3*sqrt(27) + sqrt(27))\/sqrt(3)*-4) + 1.\nAnswer: -7*sqrt(3)\/20 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*g)*(-1 + 3 - 3) + 25*g - 53*g + 18*g to the form f + a*g and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + (sqrt(14) - sqrt(686))*3)\/(-1*sqrt(7)*-1).\nAnswer: -17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**2 + 10*t. Let a(n) = n - 2. Let j be a(5). Let u(o) = -7*o**2 + 19*o - 1. Let w(k) = j*u(k) - 5*f(k). Calculate w(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 10 = 32. Suppose n*q - 20*q = -42. Which is bigger: q or 32\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9461745, 18923489, 28385233, 37846977?\n\"Answer: 9461744*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -561 + 0*p**3 - p**4 + 3*p**3 + 550 - p**2 - 24*p in the form d*p**2 + j*p + g*p**3 + k*p**4 + y and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**3 - 279120*w**2 + 3893444145*w + 54562939270 = 0. What is w?\nAnswer: -14, 27919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -29 + 14 + 10 - 23*x. Let o(s) = s. Let c be o(-2). Calculate the remainder when j(c) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77026 and 279726?\nAnswer: 5314794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/7 (b) -4\/361 (c) -4 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -112*u - 1119. What is the thousands digit of c(-55)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 32 = -15*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168488, -336862, -505118, -673256, -841276?\nAnswer: -1009178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaqcalaaa. What is prob of picking 1 l and 2 a?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*g - 137, 0 = q + q - g - 91. Suppose 4*o = -u - 119, 5*o - 6*u = -u - 180. Let v = o + q. What is the remainder when 26 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 54*q**2 + 4 - 6*q**2 - 7*q - 6. What is the tens digit of u(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 885.5289 minutes?\nAnswer: 53131734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(7) - (sqrt(112) + -1)))**2.\nAnswer: -216*sqrt(7) + 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 53 in -0.8, 1\/4, -18?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.82 and 8348?\nAnswer: 15193.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5550645 (base 7) to base 10\nAnswer: -684612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**4 - 384*z**3 + 14850*z**2 - 171336*z + 642873 = 0.\nAnswer: -161, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/28*35\/90\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -772 - -1419.3990084.\nAnswer: 647.3990084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s - 43. Let o be h(16). Suppose 159 + o = 4*a. Suppose -4*k = 37 - a. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3940326, 7880697, 11821076, 15761469, 19701882?\nAnswer: 23642321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from {j: 1, d: 1, e: 3, g: 3, f: 2, l: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -5*s**4\/24 - s**3\/2 + 3*s**2 - 19. Let v(a) = 20*a. Determine v(h(x)).\nAnswer: -100*x - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1 (c) 0.4 (d) -4.7 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -8*z - 6*z + z + 32 - 36. Let s(f) = -1 - 9*f + 1 - 3. Let g be 2\/5 - 74\/10. What is g*s(y) + 5*j(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfl when three letters picked without replacement from {l: 9, f: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3\/5 + 46*r**2\/5 - 272*r\/5 + 224\/5 = 0. Calculate r.\nAnswer: -28, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r**3 + 269*r**2 + 137*r - 930. Give q(-33).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = h - 4*q, 4*h - 3*q + 3 = 8*h. Let n(w) = -w**2 - 4*w + 1. Determine n(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38054761.\nAnswer: 257, 148073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 34, 140, 416, 946, 1814?\n\"Answer: 14*y**3 + y**2 + 5*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - i + 2*i + (-26*i - 4*i + 7*i)*(85 + 84 - 197).\nAnswer: 646*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h - 3 + 36*h - 2 - 4019*h**2 + 5.\nAnswer: -4019*h**2 + 65*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y*(y*y*y\/(y*y**(-10)*y)*y)\/y*y)*y*y)\/y*y*y*y**(-18)*y**(-20)\/y**(-20))**(-4\/17) assuming y is positive.\nAnswer: y**(108\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001509325 to seven dps.\nAnswer: -0.0001509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -22.7. Do -1\/4 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-135)\/54)\/(5\/(-4)). Solve 0 = -d*p + 2*n - 14, -2*n = 6*p - 3*p + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-9) + 240\/135. Let j = z - -1. Find the second derivative of -3*t + 5*t**j - 91*t**2 + 91*t**2 wrt t.\nAnswer: 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggoggtggg. What is prob of sequence tg?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**2\/2 + 5*f - 2. Let v be g(5). Solve 3*m = -3*x - 3, v = 5*m + x - 0*x + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g - 4*g**2 + 5*g**2 - 4*g**4 + 3*g**4 to v*g**3 + q*g + d + n*g**2 + o*g**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -8*j**2 - 16*j + 4*j**4 + 4*j**3 - 3 + 4\/5*j**5. Determine c so that z(c) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 469931549 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**6\/15 - 8*c**5\/25 - 11*c**4\/10 - 4*c**3\/5 - 217. Factor s(a).\nAnswer: 2*a**2*(a - 6)*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2030)\/(-825) + (258\/30 - 8).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 60380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 7*q + 11. Let m be c(-5). Suppose 3*i - 3*z - 21 = 0, -4 = i + 2*z + m. Solve -h - 10 = j + 3*h, -j = i*h + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374017229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63320 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1. Let m be (-51)\/17 + -2 + (3 - -4). Let v(i) = 2*i. Let u(g) = g**2 + 6*g + 1. Let k be u(-6). What is k*v(w) + m*f(w)?\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 127\/40 + -27\/8. Let w = -31 - -24. Let j be w*(-12)\/(-27) - 12\/(-108). What is the nearest to 1 in -5, c, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/29 + -89\/348. Let f be 3*(-14 + 741\/52). Let s be ((-12)\/285)\/(4\/(-10)). What is the closest to h in s, f, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 11:54 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -0.5, -1.9, -2\/53, -11 in descending order.\nAnswer: -2\/53, -0.5, -1.9, -11, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 64 (b) -1\/6 (c) -3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - (3 + 1) - 7. What is the common denominator of 69\/(-18)*(-6)\/n and 7\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5920 < 5921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 8*u**2 + 10*u - 9. Let j be p(9). Let v = 36 - j. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1130032 (base 6) in base 5?\nAnswer: -3331330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 14*t**3 + 35*t**2 - 25*t - 53. Let l(c) = 5*c**3 + 12*c**2 - 8*c - 18. Let b(x) = 11*l(x) - 4*w(x). Is 13 a factor of b(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - -1037?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**2*n))*n*n**(-5))\/(n**(-3))**35 assuming n is positive.\nAnswer: n**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 3*n - 7, v + v + n - 6 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 5. Suppose -c*h = -0*h. Suppose 4*d + 2*b + 17 + 343 = 0, 5*b = h. Round d to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66125401 to the power of 1\/2, to the nearest integer?\nAnswer: 8132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 65664, 65665, 65666, 65667?\n\"Answer: t + 65663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 18*j**3 - j**2 + j - 4. Let k(d) = 13*d + 94. Let c be k(-7). Let r be q(c). Calculate the greatest common divisor of r and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.4 - -18.9. What is the fourth smallest value in w, 0.3, -1, -8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 5:29 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 237872.692 rounded to the nearest one hundred?\nAnswer: 237900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70464 is divided by 665?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 1125*w**2 + 18*w + 2. Let p(d) = d**2 - 17*d. What is -p(t) - y(t)?\nAnswer: -1126*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -880 + 1ab672?\nAnswer: 1aaac2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 530407877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1931?\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 18 + 2 = 0. Suppose 3*f = 2*o + 153, -3*o = -m*f + o + 204. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f + 12. Let g(b) = b - 2. Let x(t) = -3*g(t) - j(t). Determine x(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10097136 divided by -420714.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41604 and 4465496.\nAnswer: 13396488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (-3 - 402*67). Let c = p + 9630. Round c to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0) + (-9)\/(-11). Let a = -15 - -15. Let x = 2158\/7 - 308. What is the closest to x in a, v, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 11*x**2 + 2*x. Let t(p) be the first derivative of 2*p**2 + 1791. What is w(t(f))?\nAnswer: 176*f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1bd7 + 11?\nAnswer: -1bc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 8\/(-3))*120\/(-100). Put -1, 5, -8, w in decreasing order.\nAnswer: 5, w, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1373 in 2\/7, 5, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 10 = -2*n - 2*t, 0 = -t - 1. Let v be (-1)\/2 + 1\/(-2). Let b be 1\/(-1) - (v - 24). What is the greatest common divisor of n and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 48 + 23*s - 941*s.\nAnswer: -918*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-136)\/(-44) + -3 + 57114\/99. Let b = p - 250. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -14 + 20 + -68 + 31?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2 + 3268*z**2 - 1 + 2*z + 6*z**3 - 3264*z**2. Let h(s) = 11*s**3 + 7*s**2 + 3*s + 2. Give 4*h(w) - 7*m(w).\nAnswer: 2*w**3 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115 - 114.98. What is z rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 261 = l - 906, 3*l + 4*s - 1943 = 0. Find the second derivative of -l*r**4 + 653*r**4 + 6*r**5 - r wrt r.\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 11*i + 26. Let f be q(10). Let n = 23 - 9. Suppose -t - 4*t + 50 = 0. Solve -f = -n*b + t*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200218 (base 9) to base 10.\nAnswer: 118277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -4, 58, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 563114925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 177467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 976.\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10, 8, 8, 10, 14?\n\"Answer: g**2 - 5*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 11:04 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14305 times 1015\nAnswer: -14519575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**1)**(-6\/13))**(-2\/63))**35)**(3\/28) assuming v is positive.\nAnswer: v**(5\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2912063 divided by -37819?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2750826 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -579*n - 56 = -593*n. Solve -5 = n*t + 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -36, -127, -308, -609, -1060?\nAnswer: -1691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3 = 22. Let p = -921 - -11039\/12. Let d = -4\/3 - p. Which is the nearest to d? (a) 1 (b) 3\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28 (b) 5 (c) 20\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 39. Let y(b) = -b**3 - 4*b**2 + 6*b + 2. Let j be y(-5). Put x, j, -1, -5 in decreasing order.\nAnswer: x, -1, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - r - 7. Let s be d(-3). Suppose -5*n - 18 + s = 3*w, -5*w = 4*n. Let l = w + -2. Solve -y = -l*y + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56113, 112228, 168343, 224458?\nAnswer: 280573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2*2\/(-64)*-12\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 9 + k**3 - 2*k - 13 + k. What is y(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - 6*x**2 - 3*x**2)*(-3*x**2 - 2*x**3 + 3*x**2).\nAnswer: 22*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96248 divided by 19.\nAnswer: -96248\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -270.6 - 134227024\nAnswer: -134227294.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - f + 1, 3*f = b - 2*f + 21 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*((0 + sqrt(68))*-3 + 3 + -1 + 1 + 0 + sqrt(68))*1.\nAnswer: -30 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -178.894 - 0.106. Let f = v - -179.000142. What is f rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73017*h - 1128 = -73393*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u + 42 = -26 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s - 3*s**2 + 0*s + 5*s**2 - 4*s**2 + 5*s**2 - 3*s**2 + (-2 - 4 + 4)*(0*s**2 + s**2 + 0*s**2) in the form y*s**2 + b + i*s and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2130?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and -3*1*6\/(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - 6165 + 2652 + 2619)*(-1 + 3 + 0) to the form w + t*b and give w.\nAnswer: -1788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 8*n + 3. Let c be p(5). Let v = c - 8. Calculate the remainder when v is divided by 3*1\/3*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**5\/20 - a**4\/8 - 2*a**3 + 6*a**2. Let i(x) be the first derivative of z(x). What is the units digit of i(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2 = 0, 0*s - 2*s = -2*h - 288. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 10*n**2 + 10. Suppose 3*q - 8*q + 10 = 0. Calculate the smallest common multiple of q and o(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 215, 356, 463, 530, 551, 520, 431?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1121, 4528, 10207, 18158?\nAnswer: 28381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 3*r + 97. Let m(k) = 14*k + 607. What is the remainder when r is divided by m(-41)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 259951120 by 3.\nAnswer: 259951120\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155202162 and 8616.\nAnswer: 2154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -211, -512, -933, -1474, -2135?\nAnswer: -2916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 65 + 2?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47.95 + 0.05. Let m = -48.2 + z. What is the fourth smallest value in 1\/3, m, -1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*h + d, 0*d = -4*h + 3*d + 15. Suppose -36 = -h*w - 6*w. Calculate the smallest common multiple of 42 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*((-6)\/48 - 15\/8). Solve 0 = -d*b - 15*b - 93 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 1368 = 234. Suppose -o - 3 = -39. What is the greatest common divisor of d and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8726 and 8727 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, k: 4, i: 2, d: 1, l: 2, p: 2}. Give prob of picking 1 i, 2 k, and 1 d.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**2 - 10*s + 12 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i**3 - 48*i**4 + 51*i**4 + 21*i**2 + i + 8*i = 0 for i.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 36 = -2*b, -f + 74 = -b + 4*b. Suppose -s + 159 = 2*g, 2*g - s - 3*s - 144 = 0. Calculate the greatest common factor of b and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 423 - 161. What is the remainder when d is divided by (9374\/172 + -56)\/((2\/88)\/(-1))?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 0 + b**2 + 6*b + 0 + 2 + 3. Suppose -3*o - 3*f = -162, -2*f - 100 = -2*o - 4. Let m be ((-15)\/12)\/(o\/12 - 4). Give a(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6862*g - g**3 + 6440*g - g**3 + 7*g**3 - 13302*g.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -2*a**6\/15 - 12*a**5\/5 - 12*a**4 - 185*a. Factor d(b).\nAnswer: -4*b**2*(b + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9115316 is divided by 506403.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, y: 3, f: 1, l: 1, t: 1}. What is prob of sequence tuf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 n when four letters picked without replacement from cnccnncwccn.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9.0795*3\nAnswer: -27.2385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1208156 divided by 11084?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g - 4*g - 2*g + (1 - 1 + g)*(4 - 3 + 1) - 2*g + g - g + ((1 - 6 + 3)*(0 + 2 - 1) - 3 + 1 + 0)*(-3 + 3 - g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 67, 142, 269, 466?\nAnswer: 751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3 - -6 - -6). Let m be ((-6)\/(-9) - 1)\/((-1)\/9). Suppose m*n - 3 = r, 0*n + 3*n = 3. Which is the closest to 1\/3? (a) r (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-10 - -5 - 1) - 11.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10129\/22335 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5613, 5655, 5707, 5769?\n\"Answer: 5*d**2 + 27*d + 5581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 - -13ac7a2?\nAnswer: 13ac78b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 64995\/50139*(-12)\/14?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, t: 1, l: 2, v: 5, s: 1, e: 2}. What is prob of sequence ltev?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(3136))\/(sqrt(252) + sqrt(252)*-3).\nAnswer: 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1359 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11 * 120531\nAnswer: 1325841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 125982408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-232)\/(-870))\/(4\/(-6))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/5 + (-5)\/25. Let u(i) = 5*i**2 + 8*i + 20. Let g be u(-7). Let p = -3556\/17 + g. Which is greater: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 6\/5, -1394, -236\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5350 - -2?\nAnswer: -5346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-29)))**4\/(q**22*q*q**(-20)) assuming q is positive.\nAnswer: q**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457 divided by 10257?\nAnswer: 1457\/10257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 428 and 683516.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k + 2204*k**2 - 5 - 840*k**2 + 1299*k**2 + 1726*k**2. Is l(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2 - 226*o - 872 = 0. Calculate o.\nAnswer: -109, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*y - 47 - 21, -3*a - 112 = -5*y. Suppose 2*k - 36 = y. Solve -4*m + 30 = -2*w, 0 = m - 3*w - k + 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2151043 to the power of 1\/2, to the nearest integer?\nAnswer: 1467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -481 and 0.2?\nAnswer: -96.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-6\/11))\/(x*x**3)*(x\/x**9)\/x**(-10) assuming x is positive.\nAnswer: x**(-17\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 - 21*y**2 + 33*y - 20. Determine k(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 59881 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9012, -8995, -8974, -8949, -8920, -8887?\n\"Answer: 2*k**2 + 11*k - 9025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 + 6*g - 8. Let x(f) = -f**2 + 7*f - 7. Let r(m) = 2*w(m) - 3*x(m). What is the remainder when 94 is divided by r(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35)\/55*5 + 3. Suppose 2*m = -3*m - 20. What is the third biggest value in -0.1, w, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r - 3. Let v be s(-3). Let t be 2\/3 + 23\/v. Let l = -9 + 9.3. Which is the closest to 0? (a) 0.2 (b) t (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7118 * -2791.8.\nAnswer: 4779.00324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 59, 2, -4, -3, 184?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - q + 2. Let j be o(1). Let w be 12\/9 + j - 2. Let h be (-1 - 4) + (-2)\/2. Which is the biggest value? (a) 3 (b) h (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4367834 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 38. Suppose -4*a + 5*a = -n + 37, 4*a + 2*n - 154 = q. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -3.6. Which is the third smallest value? (a) -1\/6 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/39 - 340\/(-510)\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 36 - 6. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 7\/351510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*i + 65*i - 21*i - 4*i**2 - 21*i + 2*i**2 as a*i**2 + p*i + x and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -186*w + 743. Let a be j(4). Put -10, a, 3, -7 in descending order.\nAnswer: 3, a, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1510 = 5*l + 141, 3*h = -4*l + 1026. Let u be 27*(3 - 0) + -1. Suppose u = -2*x + h. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1355*o = -4*k - 1357*o + 30, -3*k - 75 = -5*o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, 24, 0 in ascending order.\nAnswer: 0, 24, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5 + 538*b**4\/3 - 13868*b**3 + 94448*b**2\/3 - 8960*b = 0. What is b?\nAnswer: -140, 0, 1\/3, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1313 - -2265. Suppose z = 3*n - 4*b, -2*n + 2*b + 185 + 447 = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3))**18\/(x**4*x*x**(-1\/15)) assuming x is positive.\nAnswer: x**(-884\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 9. Let s be x(-7). Let z be (-433)\/(-4) + (-4)\/s. Is 81\/z + (0 - (-66)\/8) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-5))\/(27\/45)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/9*(-8)\/(-12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/4266?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-440)\/(-825))\/((-33)\/(-15) - 2)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-20)*(-20)\/(-15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8141 - 5798. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -753\/7 + 107. Sort -0.3, 0.1, j in increasing order.\nAnswer: j, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 4:20 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 93, 0.79, 5?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 13*x + 3. Suppose -2*r = -0*r + 26. Let v be l(r). Let z = 59 - 647\/11. Which is the nearest to 0.2? (a) v (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32454 divided by -6\nAnswer: -5409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1862*k = -1939*k - 924 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 != 0.0523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 5*g + 0*g)*(-11*g + 1 - 1) + 2*g**2 - 3*g**2 + 2*g**2.\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1957.3 to the nearest 10.\nAnswer: -1960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 2)\/(13 + 0). Suppose -4 = -3*g + 4*o, 1 - 2 = g + o. Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + g + 5 = 0, 6*g - 2*g = z - 20. Suppose z = 5*f - 0 - 30. Calculate the remainder when 123 is divided by f\/(-16) - (-1695)\/40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 = -t, 5*t = -0*t - 4*x - 16. Let n = -4 - t. Suppose -2*p + 31 = -q, 4*p - 3*q = -n*q + 61. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*c - 504 = 0, -2*l + 506 = -2*c - 0*c. What is the greatest common divisor of 2413 and l?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87984729?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**6\/8 + v**5\/5 - v**4\/8 - v**3\/3 - v**2\/8 + 31. Solve x(b) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4 - 48*k**3 + 168*k**2 - 80*k - 300.\nAnswer: 4*(k - 5)**2*(k - 3)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 84*t**2 - t**2 - 537*t - 81*t**2.\nAnswer: 3*t*(t - 179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058067 rounded to three decimal places?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*sqrt(3) + 0 + -2 + (sqrt(3) + -1)*-6 + (sqrt(1728) - sqrt(1728)*-2)\/(sqrt(32)\/sqrt(72)).\nAnswer: 9 + 103*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -108590, -217177, -325764, -434351, -542938?\n\"Answer: -108587*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p**2 + 104*p + 17. Let k be s(15). Solve 10 = 3*g - l - 0*l, k*g + 4*l = 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/107?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2144\/51 - 84961\/2040. What is the common denominator of o and -9\/160?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 1. Let x = 16 - 14. Let i(z) = -3*z**2 + 8 - 3*z**x - z**3 + 9*z - 2*z + z. Determine i(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -15. Let o = 0 + n. Let u = o - -11. Which is the biggest value? (a) -1\/2 (b) u (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 10*t - 144. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 7)*1\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -9*y**5 - 26814*y**4 - 169479*y**3 - 53514*y**2 = 0.\nAnswer: -2973, -6, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5615592, -11231178, -16846762, -22462344, -28077924, -33693502?\n\"Answer: c**2 - 5615589*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -3*q + 144. Let t be 26\/36 + ((-14)\/q - 1). Let a = 2\/1059 + -2156\/20121. What is the third biggest value in t, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-6)*-172 - -2. Let f = g + 84. Let n(a) = 0 + 4 - a**2 + f - 1 + 4*a. What is n(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 442 = -82. Suppose 0 = -5*s - 4*n - 0*n + w, 3*s - n = 72. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/(-4))\/((-6)\/16). Suppose 4*i - 184 + 220 = 0. Let u = i - f. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65113215 and 300.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 172*q + 4 - 161*q.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f = 33*f - u + 8295002, 0 = 3*f - 3*u + 8295006. What is f rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560644 less than 1169?\nAnswer: -559475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12133386 divided by 3?\nAnswer: 4044462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23962461.7 rounded to the nearest 100000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 9:02 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 17*x**2 + 107*x - 149. Calculate j(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-84)\/2499)\/((-8)\/28 - 0). Let n = 37\/2 + -189\/10. What is the closest to 2 in m, 0, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 85*u**2 - 1. Let z(k) = k. Give a(z(j)).\nAnswer: 85*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 6*n**2 - 55*n - 457. Calculate m(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 - 46 - (5 - (1 + 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -29117 smaller than -29116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12546365 is divided by 376?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/6)\/(1\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**2 + 0*a**3 - 1\/8*a**4 + 2\/15*a**5 + 0*a + 0. What is the second derivative of q(j) wrt j?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -11*p - 6. What is the third derivative of 3*x**3 - 19*x**p - 3*x**3 - 19*x**2 + 3*x**6 wrt x?\nAnswer: -1920*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y - 7. Let n(g) = -g**3 + 6*g**2 + 2*g + 1. Calculate the remainder when t(6) is divided by n(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1502 + -20?\nAnswer: -1522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -6 (c) 0.02 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43779 is divided by 164?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/(x**(-1)\/x))))**12)**(-50) assuming x is positive.\nAnswer: x**(-1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 20*k - 21*k + 11 = 0, -6 = -3*j + 2*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 217 - 122. Let f = -4 - -10. Suppose -f*j + m = q - 3*j, 0 = 4*q + 5*j - 352. Does 23 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6342523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75.4 + 0.6. Let j = z - 76.19. Which is the third smallest value? (a) -3 (b) 1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/17*(2 - (-220)\/(-105)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 120 = 96 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 3*i + 3. Let p be s(-4). Suppose -p - 9 = 4*t. Let d be (-4)\/9*(-6)\/t. What is the nearest to -3 in -1\/7, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 34\/8 + 3\/(-12). Let d(l) be the first derivative of l**2 - 5*l + 138. Give d(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 797, 818, 875, 986, 1169, 1442, 1823, 2330?\nAnswer: 2981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, 194, 187, 178, 167, 154, 139?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(1 - 4)*(1 - 20). Let w = -171 - i. Solve w = 2*r + 2*r + 5*h + 17, 4*r = h + 13 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*m + 60*m = -39 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23339.\nAnswer: 23339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 301\/3 + -100. What is the third biggest value in 7, t, -1\/4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(63)\/(sqrt(1089)*-3).\nAnswer: 2*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/3)*v**(2\/45)*v*v**(-5\/9)*v**(2\/41))**(-22) assuming v is positive.\nAnswer: v**(5236\/1845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 579 divided by -193\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 1 - 3. Suppose -b*f + 68 = -h, -76 = -4*f + 4*h - 5*h. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*a = -21, 3*a + 16 = 44*z - 43*z. Suppose 227 = 3*c - g, -4*g + 67 = -z*c + 14*c. What is the remainder when 129 is divided by c?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1066*f**2*u*w*z - f**2*u*z**2 - 4*u*w*z**2 - 11*u*w*z - 2*u*z**2 + 5*w*z**2 - w wrt f.\nAnswer: 2132*f*u*w*z - 2*f*u*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 783833051 a multiple of 743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**3 + 9*r**2 + r - 12. Let d be g(4). Let c = -2284\/19 - d. Are c and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.04 + -20.13. What is the third smallest value in -10\/3, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 151 and 71.\nAnswer: 10721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 409566753 to the nearest integer?\nAnswer: 20238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27375354863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9224879*l**3 + 68*l**2 - 5*l - 6604.\nAnswer: 55349274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50128, 100087, 149986, 199795, 249484, 299023, 348382?\nAnswer: 397531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10112 + -100111112200?\nAnswer: -100111102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-31)\/3*-5))\/(1581\/2635)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(((v*v*v**(-1\/7))\/v)\/v*v))*v**(1\/9)*(v**(-1)*v*v)**49)\/((v**(2\/7))**(-45)*((v\/(v\/(v*v\/v**(2\/11)*v*v)))\/v)\/v*v\/(v**6\/v)) assuming v is positive.\nAnswer: v**(45743\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from {v: 6, t: 1, k: 5, l: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 61, -5, 3, -0.4.\nAnswer: -5, -0.4, 1\/3, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 w when four letters picked without replacement from xwpvvpj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 10:54 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 643719318, 643719317, 643719316, 643719315?\n\"Answer: -g + 643719319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 38*d + 35. Calculate x(-42).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 7. Let n = 2.6 - 37.6. Let k = n - -34.8. What is the closest to 1\/2 in p, k, -3\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.9 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/9 + (-16)\/3. Is 1\/((k\/2)\/(-39)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, s: 7, d: 6}. Give prob of sequence rr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 177, -1 in decreasing order.\nAnswer: 177, 8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16\/351, 44, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3\/(-2))*(-216)\/(-1782).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 6*t**2 - t + 4. Let k be b(-3). Let a = k + -26. What is the lowest common multiple of a and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-1))\/((10197\/12)\/103)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4404*s + 427. Give j(0).\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 7 = -3*o - 3, -3*m - 5*o = 7. Suppose 172 = 5*u + 4*h + 6, 4*u + 5*h = 140. What is the smallest common multiple of u and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, 4\/5, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -531 + 544. Sort 0, -2, t, -4 in increasing order.\nAnswer: -4, -2, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 - 2. Suppose 3*a - 12 = -a. Let p = a + -5. Put -3, p, m in descending order.\nAnswer: m, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, 5, -4, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 25*a + 1. Let t be g(-12). Let m(k) = -3*k - 17. Let l(j) = -j - 6. Give t*l(b) + 4*m(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 2 + 2)*(-24 + 10 - 2)*(5 - 2 - 5).\nAnswer: -64*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -50.8?\nAnswer: 152.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1825618 times 0.06?\nAnswer: 109537.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Let d(m) = 6*m**3 + m. Let p be d(-1). Let h(z) = -z**3 - 7*z**2 - 2*z - 10. Let q be h(p). Let b(y) = 4 - 2*y**2 - q. What is r(b(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - i**4 - i**2)*(22*i + 13 - 13) + (2*i**3 + 0*i + 0*i)*(2*i**2 - i + i).\nAnswer: -18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 365707*k**2 - 116*k + 484688258 wrt k.\nAnswer: 731414*k - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55064973*x**3 + 25016653*x**2 wrt x.\nAnswer: 330389838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 68*w + 12. Let v(x) = -135*x - 19. Give 5*t(o) + 3*v(o).\nAnswer: -65*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.428 - 0.702. Let r = 1.303 + w. Which is the third smallest value? (a) r (b) 2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 58*z - 18 = -59*z, 4*q - 5*z - 26 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 7. Let w be x(9). Solve 4*s - 5*p + 21 = 0, s + p + 2*p = w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v + 173. Let c be b(-21). Suppose 2*w - 319 = 1523. Suppose 2*i = c*i - w. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/6)\/2)\/((310\/(-651))\/10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 1 + -3)*(8 + -3). Let o be (6\/m)\/((-18)\/120). Solve 12 = -o*d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*l - 20. Let m = -141 + 99. Let b = l - m. Does 22 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from ususskkkuuukk?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + y = -32, -5*d = -2*y + 4*y + 151. Let a = 31 + d. What is the derivative of 0*v**3 - 17*v**3 + a*v**3 + 0 + 3 wrt v?\nAnswer: -45*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3262, -3272, -3284, -3298, -3314, -3332, -3352?\nAnswer: -3374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.8 and 173?\nAnswer: 175.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6195)\/42*(-48)\/120?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 0 - 2*s - 2*s**2 + 0*s**3 + 1\/12*s**4. Calculate r(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-21))\/((-10)\/(-35)). Let o be (-2)\/20 + 4\/8. Which is smaller: o or u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + (-4 - -12) - 4)\/1. Solve 2*i - 36 + 28 = w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 24*a**3 + 4*a**2 + 4*a + 6. Let f(o) = o**3 + o**2 + o + 1. Calculate -6*f(g) + j(g).\nAnswer: 18*g**3 - 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12026245 by -11.\nAnswer: 1093295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 minus 1466.849?\nAnswer: -1644.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 14*h. Let w = 461 + -460. Let f(g) = 2*g. Let a(c) = w*d(c) - 8*f(c). Let n(q) be the second derivative of -2*q**3\/3 - q. Give a(n(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*v + 4 = q, 3*q = -2*v. Is 22 a factor of q*8\/12*-33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 + v**2 + 2*v - 1. Let m be o(-2). Let s = 21 - m. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-2*(-3)\/(-93))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - (42\/140)\/((-12)\/155). What is the fourth smallest value in -0.3, z, -1\/3, 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 270 + -307. Is 7505*2 + 41 + o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.24 rounded to 0 decimal places?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 8:56 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*u - 123 - 93 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2740 = -614*j - 944 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.14 + 1339?\nAnswer: 1335.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1151875326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 59664585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -20. Let c = r + -1. Solve -5*o - 2*b = 17, -b + c - 1 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0227418 * 0.3.\nAnswer: -0.00682254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188808 is divided by 1256.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 88060.24 millilitres in litres?\nAnswer: 88.06024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 25 = 4*n, d = -4*d + 5*n + 100. Which is the second smallest value? (a) -1 (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-4) + 1 + (-1027)\/(-316). Suppose -k = -4*x - 883, -k = -d*x - 385 - 498. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*n - 15*n - 12*n)*(-3 - 1 + 3)*(2*n**3 - n**4 - 2*n**3).\nAnswer: 13*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -4 (c) 2 (d) 1\/12 (e) -206 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20196299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8868, -70927, -239354, -567327, -1108024, -1914623, -3040302, -4538239?\nAnswer: -6461612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.03, 61, -0.16?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/297, -2, -5\/4, -55.4 in decreasing order.\nAnswer: -8\/297, -5\/4, -2, -55.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 0. Let j(h) = 27*h + 1. Let g(d) = -d**3 - 7*d**2 - 7*d - 4. Let m be g(-6). Let a be j(m). What is the greatest common factor of z and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.899929 + -16.9. Round o to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6*h**2 - 1. Let v be f(-1). Solve v*c = -0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 0 (c) 2\/13 (d) 74\/671 (e) 4 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -603, 1, -5861, 3, 2 in decreasing order.\nAnswer: 3, 2, 1, -603, -5861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 158365807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27578302 to the nearest integer?\nAnswer: 5252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*u - 283811 = 0, 5*n - 384505 - 88505 = -5*u. List the prime factors of n.\nAnswer: 94597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 31*t**2 - 31*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + u = -1277, 4*u + 631 = 4*a - 397. Calculate the greatest common divisor of a and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -705279.3 rounded to the nearest ten thousand?\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1618560299 to the power of 1\/3, to the nearest integer?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by ((-2670)\/356)\/(1\/(-8)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 23*m**2 + 22*m + 78. Calculate p(24).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m - 2*m**2 + 3*m**3 + 2*m**2 + 21*m to b*m**2 + k*m + s*m**3 + c and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4))\/((-2)\/(-4)). Suppose 5*f + o*x = -0*x + 51, 3*f - 5*x = 51. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (11 - (2 + -10) - 58).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 142078*g**4 - 21*g**3 - g + 5842988 wrt g.\nAnswer: 568312*g**3 - 63*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skqskpaq. What is prob of picking 1 k, 1 q, and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*i + 27\/2 + 3\/2*i**2.\nAnswer: 3*(i + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -16015249*w**3 + 22146*w**2 - 22146*w - 44292. Let b(v) = -3616*v**3 + 5*v**2 - 5*v - 10. Calculate -22146*b(a) + 5*x(a).\nAnswer: 3691*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfnjnjonnssn. What is prob of picking 2 j and 1 s?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*g + 56*g - 26*g - 1118 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 154\/385 - (-26)\/(-40). What is the second smallest value in -3, -5, -2\/3, 202, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -28, 0, -0.37, 2\/23, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/105)\/(22\/154)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-88 - -92 - (-1 - -2 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9273711?\nAnswer: 3, 47, 89, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**(-5\/2)\/i)\/i)*i)**(-44) assuming i is positive.\nAnswer: i**(-286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 0)\/(-1) + -2. What is the second smallest value in s, -0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -5 (b) -2\/3 (c) 2 (d) -22 (e) 164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11\/6 - -2. Let w be (-34)\/66 + (-11)\/(-33). Put w, v, 6, -0.1 in ascending order.\nAnswer: w, -0.1, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124\/3 + -42. Let z = 0.5 + -0.8. Sort k, z, -0.4.\nAnswer: k, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) -4 (c) -2\/7 (d) 1\/4 (e) -1\/4 (f) 0.0372 (g) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*j = 1933 + 859 + 7738 for j.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (25\/20)\/(2\/1680). Suppose -3*x = 2*x - m. Let q = x + -125. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**5\/105 - 2*b**4\/21 + 8*b**3\/21 + 10*b**2. Determine o, given that s(o) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -805*i - 16. Is h(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1636 and 28221.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4*(27\/15 - (-2)\/10) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 338 - 10. Let w be m*(-1 - (-5)\/3). Differentiate w - 2*r**3 + 2*r**3 - 110 + 9*r**4 wrt r.\nAnswer: 36*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-14))\/(2\/(-7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-66))\/((-2)\/(-11))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2 + 15*k + 5. Let d be a(5). Put 3, d, -2, 0 in ascending order.\nAnswer: -2, 0, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16463*u**2 - 135647*u?\nAnswer: -32926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2122677 (base 8) to base 4\nAnswer: -2022112333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1458)\/(-1701))\/((-1)\/(-23247)) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/7)\/(-34*25\/59500)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8 + 10*i - 5 + i**2 + 1 + 6. Let q = -16 + 7. What is the least common multiple of j(q) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 3, -568.\nAnswer: -568, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66 - 66 + 22*o**2 + (-8 + 8 + o)*(5*o - 5*o - o) + 2*o**2 + 2*o**2 - 2*o**2 to z + l*o + p*o**2 and give p.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131*-37.1.\nAnswer: -4860.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*u**2 + 472*u - 32 = 0. Calculate u.\nAnswer: -2, 4\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -177, -733, -1667, -2979, -4669, -6737, -9183?\n\"Answer: -189*h**2 + 11*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t - 5*t + 5*t + t + 3 - 3 + (3*t + 0*t - 7*t)*(-5 + 3 + 4) as y + k*t and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -46. Let c(k) = -k + 6*k**2 - 45*k**3 - 4*k**3 - 7*k**i + 1 - 2. Let p be c(-1). What is the greatest common factor of p and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -9 - ((6 - -12) + -5 - 9)) + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.3 plus 19?\nAnswer: 29.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -150172 at most as big as -149374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/3)*y**5)\/((y*y\/(y**(-7\/4)*y)*y)\/((y*y*y**(-2\/21))\/y*y)) assuming y is positive.\nAnswer: y**(377\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -19*w - 39. Give r(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101110011 - 10000100010001111?\nAnswer: -10000110000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 - 8*m**2 + 42*m + 179. Let n be z(-5). Solve n*a = 23*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a. Let z(d) be the third derivative of 0*d**3 - 2 + 0*d + 3\/8*d**4 - 53*d**2. Determine c(z(o)).\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -18. Solve c*o - 5*k + 35 = 5*o, 0 = -5*o - k + 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134854 is divided by 46?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.75, 28, -1, -0.1 in increasing order.\nAnswer: -1, -0.75, -0.1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(128) - (sqrt(128) + -1*sqrt(128))) + sqrt(128)*-2*1)\/(sqrt(32)\/sqrt(72) - (sqrt(256) + sqrt(256) + sqrt(256)*-2)))**2.\nAnswer: 14112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5 - 58*t**4 + 500*t**3 - 1172*t**2 + 1066*t - 338.\nAnswer: 2*(t - 13)**2*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33791*k - 67610*k + 33768*k + 1.\nAnswer: -51*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)\/((w*(w\/((w*w**9*w)\/w))\/w)\/w*w))\/(w\/(w*w*w**(1\/3)*w))**15*((w*w**9\/w)\/(w**7\/w*w))\/(w**(4\/3)*w\/w**1) assuming w is positive.\nAnswer: w**(107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 243 - 977\/4. Let b(m) = m**3 + 7*m**2 + 5*m - 6. Let i be b(-6). Which is smaller: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2861 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 333, 331, 329, 327, 325, 323?\n\"Answer: -2*j + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 533070192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 154 + -159. Let q = -0.02 + -1.98. What is the nearest to q in -4, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0399811227 to 5 decimal places.\nAnswer: -0.03998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 + 1464*u**2 - 69939*u - 6979. What is r(-777)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580116 is divided by 374?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2630055 is divided by 306.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -94, -3, 3580 in decreasing order.\nAnswer: 3580, -3, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppxppxp. What is prob of picking 1 x and 2 p?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -13.03. Suppose 0 = -y - 4*b - b + 15, -26 = -4*y - 3*b. Sort s, 1, 4, y.\nAnswer: s, 1, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10401044224 (base 5) to base 2\nAnswer: 101011010010001101111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*p + 31, 0 = w + 4*p + 17. Let k(y) = -y**2 - 3*y + 4. Determine k(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ip when two letters picked without replacement from {p: 1, i: 11, m: 2}?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -4*s - 18. Let q = 17 - 2. Suppose q = -s*z, -2*r + 2*z + 2 = -46. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 271.12 to zero decimal places.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 8*o + 419. Determine k(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**4\/12 - 10*r**3\/3 + 23*r**2\/2 + 61*r. Let f be w(-21). Solve f*n = -n - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + -1*sqrt(114)*-2)\/(sqrt(294) - (1*sqrt(294) + sqrt(294) + sqrt(294) + sqrt(294))) - ((3*sqrt(38)\/sqrt(2) - sqrt(19)) + 1 + 2))*-2.\nAnswer: 6 + 30*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - t - 2*t + (4 - 5 + 0)*(-3 + 3 - 5*t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 5) + -8*(-6)\/4. What is the greatest common factor of 24 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*r - 5*r. Find the common denominator of (-9)\/r*139\/9 and -41\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/3))**(-25)\/((t**(-6)\/t)\/t*t**(-2\/3)\/t))**(1\/45) assuming t is positive.\nAnswer: t**(-7\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132) + (sqrt(132) - -1*sqrt(132)))*-2 + sqrt(132))\/(3*sqrt(48)).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 16 = n, -3*c + 0 = -2*n + 10. Let u = n + -6. Solve 3*v = 4*w - 21, -u*w - 3*w + 15 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 16 = g, -2*n - 2 = -2*g + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 138\/897 + (-2)\/13. Let v(h) = h**3 - 3*h**2 + 2. Let m be v(2). Let w be 2 + -3 + 3 - m. Solve -w*k = -x*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = v + 3*g, 38*v + 5*g = 39*v - 39. Which is smaller: v or 106?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 3*s + 2. Let h(b) = 6*b - 6*b + b**3 - 4*b + 1 + 5*b + 5*b**2. Let j be h(-5). What is the units digit of r(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 6*y**2 + 5. Let f be (80\/28 - 2)*-7. Let l be u(f). Suppose -l*b - 4*w = -70, -7*b + w + 45 = -2*b. Solve s - b = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -1\/12, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-6) - 175\/(-42). What is the third derivative of 1182*y**4 + y**3 - 1281*y**z + 69*y**2 - y**3 wrt y?\nAnswer: -2376*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3813703 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y. Let f be g(0). Suppose d - 20 = -d + 4*x, f = d - 3*x - 15. Solve -l = -t + 6, d = -4*t - l + 20 - 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 + 75.906. What is p rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3298 is divided by 540?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5456560 to the power of 1\/2, to the nearest integer?\nAnswer: 2336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9747, -39144, -88181, -156858, -245175, -353132?\n\"Answer: -9820*s**2 + 63*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 134587 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -70, -4, -1, -9401 in decreasing order.\nAnswer: -1, -2, -4, -70, -9401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 + 4*m**4 - 4*m**4)*(0 + 4 - 3) + 21*m**4 - m**4 + m**4.\nAnswer: 23*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 223*d - 73*d - 80*d - 73*d + 93, 16*f - d + 77 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19926*g**2 - 13941*g - 438.\nAnswer: -3*(3*g + 2)*(2214*g + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 i when four letters picked without replacement from iiiiirmrmibm?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 6. Let z be ((-6)\/42)\/(-1 + x). Let p be 2\/(-8) - 0\/1. Which is the third smallest value? (a) 0.4 (b) z (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 54*c**2 - 1 + 0 + 51*c**2 in the form a*c**2 + s*c + z and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 63 - 119 - 28*o + 16*o + 15*o. Calculate l(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 5)*(182*y + 180*y - 25 - 363*y) as i*y + t and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 935*b + 7. Let l be p(5). Suppose -4*t = 5*o - 9777, -3*t + 2612 = -4*o - l. What is t rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 4*f - 8. Let t be (-5 - -3) + -1 + 1. Let l(m) = -5*m + 4. What is the remainder when f is divided by l(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - k**2 + 23. Let p be i(0). Let r = -13 + p. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/15 - (-1)\/(-3). Let o be -1 + (4 + 138\/(-30))*-1. Which is the closest to z? (a) -0.2 (b) 2\/13 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17444056 - 357?\nAnswer: 17443477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(128) + -4)**2 - ((sqrt(128)*-3 - sqrt(128)) + 5 - sqrt(128))**2) + -5.\nAnswer: -3066 + 304*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -14*n. Suppose -3*m + 14 = -5*w, -m = 5*w + 4 - 2. What is the units digit of p(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 1. Let l be a(2). Let d be ((-8)\/6)\/((-2)\/l). Let g be -2*((3 - 1) + -3). Solve 2*u - 2*z + d = 0, -u + 6*u + g*z - 23 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a millennium?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 - (-106 - -115)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 62\/6 + 1\/(-3). Let n(c) = -c**3 - c + 2. Calculate the smallest common multiple of (-4)\/y + (-36)\/(-15) and n(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 1032 = -138. Calculate the remainder when g is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.14 (b) -5 (c) 1.3 (d) 0.2 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(21)*-2 + sqrt(21)))\/(sqrt(112)\/sqrt(4) - sqrt(7)) - (sqrt(432) - (2*sqrt(432) + 3))*4)**2.\nAnswer: 1248*sqrt(3) + 8256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-641076)\/9121 + 58 + 8?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 - y**2 + 3*y**2)*(y + 2*y - y) - 6*y**3 + 0*y**2 + 0*y**2 + 3*y**3 - 2*y**3 + 0*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 72*a + 15. What is the units digit of k(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38227 and 54610?\nAnswer: 382270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1272.4 + 1272.9. Put -4, -3, -0.5, 0, c in increasing order.\nAnswer: -4, -3, -0.5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.12 (b) -4\/3 (c) 66629\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 17*r**2 + 24*r + 32. Let z be y(-16). Which is bigger: -0.1 or z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9735.075 minutes to nanoseconds.\nAnswer: 584104500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 1 - 4)*(4 - 3 + 0)*(3*g - 1 + 1).\nAnswer: -39*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-8737056)\/(-1863) + 22\/18 + -1 - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 69*r + 1309. What is k(-19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.5, 5, -0.48, -39\/11, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/39 + (370\/6)\/(-5). Suppose -47 = k - 50. Sort 2, -5, k, o in increasing order.\nAnswer: o, -5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/1559 or 0?\nAnswer: -6\/1559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -26496 divided by -4\nAnswer: 6624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*z - 190 = 90. What is the closest to 0.1 in z, -3.8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 - 2*l**2 + 14*l - 18*l - 8*l + 2 - 4*l**3 - 3*l**3 to x*l**2 + j + m*l**3 + h*l and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 9. Let i be 2\/(-5) - (-501)\/1290. Let y = -159\/1118 + i. Which is the fourth biggest value? (a) o (b) -3 (c) -0.4 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 7*h**5\/60 - 7*h**2. Let m(z) = 13*z**2. Give x(m(n)).\nAnswer: 1183*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 206918?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10746 + 6127 = 16749*m - 16390*m for m.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.1240007195 + -8.124. What is o rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170)*3 - sqrt(170)) + sqrt(170))*1)\/(sqrt(10) + sqrt(10) + sqrt(1440)\/sqrt(4)).\nAnswer: 3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94677159?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 1:40 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glllllelleelbll. What is prob of sequence eg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/243 and -2\/11199.\nAnswer: 907119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = i + 29, -5*g - g - 105 = -3*i. Factor 1\/5*j**2 - 16\/5 + 1\/5*j**i - 16\/5*j.\nAnswer: (j - 4)*(j + 1)*(j + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*u - 76*u - 622 = 623 - 381 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*n**3*s - 13452*n**3 - 376*n**2*s - n*s wrt s.\nAnswer: 3*n**3 - 376*n**2 - n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**4 - 2145*j**3 + 1944390*j**2 - 275212480*j + 273270240 = 0?\nAnswer: -918, 1, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749 a factor of 5127820540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 3987?\nAnswer: 3998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26 + 2*(-92193)\/7074 and 97\/24.\nAnswer: 9432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 188\/7 (b) -0.3 (c) -1\/5 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 74*a**2 + 5*a - 163. Let u(x) = 49*x**2 + 3*x - 109. Let l(k) = -8*u(k) + 5*z(k). Find the second derivative of l(r) wrt r.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 82*c**2. Let a(u) = -100*u**2 + 49*u**2 + 53*u**2. Determine a(v(b)).\nAnswer: 13448*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 137*z - 1335. Calculate l(-131).\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -713*o**4 + 4555*o - 1492. Differentiate g(a) with respect to a.\nAnswer: -8556*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2592 + 2594. What is the lowest common multiple of c and 2077?\nAnswer: 4154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 4, -9, -40, -95?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y + 87*y - 2465 = -76*y for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 292291, -15, 4 in increasing order.\nAnswer: -15, 1, 4, 292291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148133*p - 148651*p - 22814 = 10856 for p.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.24 - -0.74. Let n = -0.02 - o. What is the smallest value in -1, n, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 43 - 1.98824572\nAnswer: 41.01175428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -2*u**3\/3 + 3*u**2 - 2*u + 5. Let z be v(3). Let m = 7 + z. Solve 3*n + 2 = m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 9, 12, 2\/5, 43?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 84\/8 - 1\/2. Let b(f) = -49*f + 3. Let k be b(-3). Suppose 4*a - k = -a. What is the highest common factor of a and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.02 times 2367?\nAnswer: 2414.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - 8*c = -15*w - 4*c - 6, -w + c + c = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 + 147015*a - 398*a**3 - 2 - 146123*a - 3*a**4 wrt a.\nAnswer: -36*a**2 - 2388*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 20*p - 18*p. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 596629 and 908689.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171541*g = -171995*g - 24062 for g.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*c - 68. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -701, -1407, -2113, -2819?\n\"Answer: -706*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/10)\/(6\/(-10)). Let w be 2\/(-6)*6\/8. Which is the second biggest value? (a) p (b) w (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -167*v + 0*v**2 - 178*v - 7*v**5 - 2*v**2 + 76*v**5 + 0*v**2 wrt v.\nAnswer: 1380*v**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10 - 0) + (-6 - -3). Let w(o) be the second derivative of -o**4\/12 + 7*o**3\/6 + 2*o**2 - 2*o - 1. Give w(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/3 - -7\/6. Let l = -18 + 16. Which is the third biggest value? (a) l (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -6*g. Suppose g*x - z = -2*x + 37, 3*z = -x + 29. Let i be (-10)\/(-15) + x\/6. Calculate the highest common factor of 10 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 25 = a, -3*l + 24 = -3*a. Solve 6*o - l*o = -35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(468) - 3*sqrt(1872)) + -5.\nAnswer: -30*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*k**5\/7 + 98720*k**4\/7 + 124828*k**3\/7 - 127530*k**2\/7 + 32873*k\/7 - 2630\/7 = 0. Calculate k.\nAnswer: -1315, -2, 1\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 9*d**2 + 5*d - 6. Let a be z(-8). Suppose -7*y = -a*y + 1815. Which is smaller: y or 166?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - 2*(sqrt(11) + 0)) + (-2*sqrt(77))\/sqrt(7))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110.453 + -2.353. Let o = j + -108. Which is the smallest value? (a) 2\/9 (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 5:08 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-108)\/(-81))\/(1\/(-3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45 - -4a?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*u**5 + 18*u**4 + 13*u**3 - 21147*u?\nAnswer: 140*u**3 + 216*u**2 + 78*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -118 + -147491?\nAnswer: -147609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75 - 6. Are 68 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.44 + -5.44. Let n be 0 - (-1)\/(208\/(-150)). Let z = n + 7\/8. Which is the nearest to 0? (a) h (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4731.\nAnswer: 3, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 3:15 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 2*j - 1 - 27, 4*j - 4*q + 2*q - 167 = -135 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0. Let k = 0.1 + r. Let i = 1706.5 - 1706. What is the biggest value in i, 4\/9, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - 0.8. Suppose -5*q - 12 = -32. Suppose q*w = 3*w - 4. Sort w, g, -2\/13 in descending order.\nAnswer: -2\/13, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - h = -0*q - 3298, -4*h - 4376 = 4*q. Let t be (q\/8)\/(1\/(-4)). Is t\/15 - (-4)\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 528*s + 1068.\nAnswer: -3*(s - 178)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) -1.4 (b) 32 (c) 2\/13 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2\/3 (b) 2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 263\/68 - (-21)\/28?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(468) + sqrt(468))*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zezmwwtmmtmttmzmtmm. What is prob of picking 2 w?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9090101*z**4 + 14817312*z.\nAnswer: -109081212*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, s: 1, e: 3, f: 3, j: 1}. What is prob of picking 1 e, 1 f, 1 j, and 1 s?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19 (b) 34825\/4 (c) -0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2119261 and 2119329 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001111000 - 1100101100?\nAnswer: 11101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + ((-3)\/3 - -3). Let a = 1 + r. Suppose a*s = 2*y + 18, -56 - 5 = -4*s - y. Calculate the remainder when s is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*k)*(2*k**3 + 0*k + 0*k) - 2*k**2 + k**4 + 3*k**2 - 2*k**4 to the form q*k**2 + j*k**3 + t*k**4 + c*k + d and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izj when three letters picked without replacement from jiepjfz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 17. Suppose 4 = q*x - 12. Suppose -y + x = y. Solve -4 = -2*b - 5*a + 18, -y*b + 6 = a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0285 and 600706.\nAnswer: 600705.9715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 370 and 94750.\nAnswer: 3505750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1420 and 355.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/3 + 62*q\/3 - 72 = 0 for q.\nAnswer: 4, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43302867, -43302863, -43302859, -43302855?\nAnswer: -43302851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -19*z + 1. Let h(r) = r + 2. Let c be h(-3). Let w be a(c). Solve -4*p + w = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 95, 371, 1247, 3077, 6215?\n\"Answer: 59*n**3 - 54*n**2 + 25*n + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25647478091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 11\/6*z**6 - 1 - 5\/2*z**2 + 0*z**5 + 0*z**4 + 0*z + 0*z**3. Find the second derivative of f(t) wrt t.\nAnswer: 220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + (-14 - -12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 186*b + 159. Let n be g(2). Calculate the highest common divisor of n and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*r + 216 + r**2 - 53*r + 20*r + 19*r to j*r**2 + s + o*r and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4384*w**5 + 2207*w**5 + 1575*w**5)*(3 + 1 - 3).\nAnswer: -602*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*c = -2*w - 27200015, -15 = 3*c. Round w to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(a*a**(-2\/17))*a)**(-2\/91)*a\/a**(4\/3)*(a**7\/a)\/a assuming a is positive.\nAnswer: a**(21340\/4641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130 + -70. Let y = o + -74. Is (-728)\/y*1\/1 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -5*6\/(-30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 8 = -4*i, -4*i - 8 = 2*j - 4*j. Let -z**2 - 4*z**3 + 3*z + j*z**2 + 1 - 5*z**3 + 6*z**3 = 0. What is z?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1095 - 1091 - 57*(-2)\/(-27).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 0)\/(6\/(-6)). What is the units digit of ((-12)\/b)\/((-2)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4765352*i**3 - 9912575*i wrt i?\nAnswer: 28592112*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 13 = 28*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0769952 less than 79.74?\nAnswer: 79.6630048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2. Let q(c) = -c - 1529. Give q(g(u)).\nAnswer: 2*u**2 - 1529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-3\/4)*v*v)\/(v\/(v*v*v**(-2\/3)*v))*((v**(1\/4)\/v)\/v)**(3\/14))**40)**(-11) assuming v is positive.\nAnswer: v**(-6215\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from {r: 4, p: 4, l: 6, c: 4}.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 61801097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12243.2 + 12242. What is the biggest value in q, 156, 0.1, 5?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(9)\/sqrt(3)*-1 - 2*sqrt(192).\nAnswer: -17*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -186 - -338. Suppose 3*f - m = -f. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-784)\/14*(-1)\/((-14)\/60). Let u = -196 - y. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a9 - -3?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {c: 8, k: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1363 - r**2 + 4*r**2 - 1363 + 2*r**4 wrt r?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.08 and 125.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117 - 112. What is the greatest common factor of m and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/16*-2 + 108\/(-144). Which is smaller: b or 102?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 6515831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**3*t - 26*b**3 - 637*b**2*t - b*t**2 - 3*b - 2 wrt t.\nAnswer: -2*b**3 - 637*b**2 - 2*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 25701235?\nAnswer: -25701235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 2 + 2*w**2 - 4*w**2)*(-1351*w**2 - 3841*w**2 - 145*w**2 + 3).\nAnswer: 5337*w**4 - 10677*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4281 or -6\/23?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (15 - (-9 + 11))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-13*n**2 + 6*n**3 + 13*n**2) + 22*n**3 - 2 + 52*n**2 - 52*n**2.\nAnswer: 28*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 141428.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -29640 to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 177 times 0.2\nAnswer: 35.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4250518 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*b, -5*b = 4*n - 3 - 2. Suppose -135 = 3*p - z, -2*p = b*z + 109 - 19. Let y = p + 188. What is the greatest common factor of 13 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 508*n + 511*n + 16 = 0, 5*n = 4*i - 28. What is the closest to 0.1 in -4, 2\/13, i, -2\/11?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in 1\/7, 0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 9940, -0.1.\nAnswer: -35, -0.1, 9940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 10*a - 645*a**3 + 3*a**2 + 640*a**3.\nAnswer: -5*a*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 1 - (7 + -7 - -2). What is the nearest to 1\/2 in -5, h, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3445129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 448 - 448 + 41*v to the form g + d*v and give d.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 13*c**3\/3 + 7*c**2\/2 - 5*c + 84. Let m(h) = 78*h + 20. Give 5*m(d) - 14*y(d).\nAnswer: 26*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 84044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(89\/((-15486)\/464))\/(-1*(-1)\/6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0678701 to three dps.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 14. What is the closest to 0.1 in w, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9276*a - 9250*a - 494 = 0 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*k + 24 - 4*k**2 - 124*k + 6*k**2 - 120*k.\nAnswer: 2*k**2 + 7*k + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k - 3. Let f be m(-2). Suppose -n - 6*d + 2*d - 8 = 0, 5 = 2*n + d. What is the first derivative of -2*i**n + 3 + f - 5 wrt i?\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 21*b + 50. Let k be f(23). Solve 12 = -8*h - k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 19*m**4 + 23. Let j(y) = 9*y**4 + 11. Let n be (-12)\/(-1)*12\/(-24). Let r(z) = n*v(z) + 13*j(z). Differentiate r(c) wrt c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2, 5, -13 in increasing order.\nAnswer: -13, -10, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 22 + 54. Let u be w\/52 - (-4)\/(-26). Suppose 0 = -5*p + 3*a + 2*a - 5, u = p + 4*a - 4. Solve -5*m + 10 + 10 = p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(3*r + r - 3*r) + (3 - 2 + 1)*(3*r + 2*r - 6*r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1833 - 1837. Sort 0, c, -2, -42, 3 in descending order.\nAnswer: 3, 0, -2, c, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140 (base 7) to base 8.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (4 - 8) + 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8250, -8259, -8282, -8325, -8394?\nAnswer: -8495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*u + 16*u + 44. Let y be (-2)\/11 - (-818)\/u. Solve -b + 3 = 0, 8*o = 3*o - 4*b + y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8215920 divided by -342330.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/3)\/((-18)\/(-1809)). Let c = -17 + j. Let q = c + 1. Calculate the highest common factor of q and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 3:45 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 57.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 3*m - 864 + 817, 0 = -4*s - 40 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*x - 17. Let k(w) = -w**3 + 3*w - 4. Calculate k(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeneeeeeeeeeeee. What is prob of picking 3 e?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26311692 divided by 11?\nAnswer: 2391972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 + 74*o**2 + 41 + o + 24)*(-o - 4*o + 6*o).\nAnswer: 74*o**3 + o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 73112 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50647519631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 10241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, -9, 0, -0.3, 1, 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(7) - sqrt(14)\/(3*sqrt(2) + sqrt(2))) + -4)*4.\nAnswer: -14 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17180 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/3 - 7732*y**2\/3 + 4600621*y\/3 - 237756974.\nAnswer: (y - 7098)*(y - 317)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 189, 5, -847072 in ascending order.\nAnswer: -847072, 5, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 20. Suppose 10 + a = 5*h. Let l(w) = 4*w**2 - w + 1. Let b be l(h). What is the highest common divisor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -176*d*o**3*z - 88651*d*o**3 - 15*d*o*z - d*z + 62926*o**2 wrt o?\nAnswer: -1056*d*z - 531906*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 12*s**2 - 11*s + 25. Let y be n(-13). Let p be (y\/(-3))\/(6\/36). What is the second derivative of 0*t**p + 19*t**5 + 0*t**2 - t + 0*t**2 wrt t?\nAnswer: 380*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609405 is divided by 203008?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 81 = 2*a - 77, 5*w = -9*a + 56 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(20\/15 - 1). Suppose -1 = r - i. Let q(m) = 11*m**2 - 5*m**2 - 7*m**r. Let n(k) = 11*k. What is q(n(p))?\nAnswer: -121*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 20 = -106*d + 111*d, d = -3*y + 12. Suppose -4*a = -4*x + 648, a - d*a + 470 = 3*x. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1052454, 1052456, 1052458, 1052460, 1052462, 1052464?\n\"Answer: 2*p + 1052452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125.793*15224.\nAnswer: 1915072.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -189 + 194. Suppose -m*l = -12*l + 2100. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 286 - 36. Let f(m) = m**2 - 7*m + 12. Let v be f(12). Let o = h + v. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 25*k - 13 to p + m*k and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16\/18735349 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5331\/1742*(3 + -1). Let f = z + -39\/67. Let a = 236\/117 + f. Find the common denominator of a and -87\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 15*f + 969 = 0. What is c in -c**2 + 16*c**2 - f*c**3 + 3*c**5 - 12 + 12*c + 42*c**3 - 3*c**4 = 0?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/9)\/(4\/6). Let q = 10.65 + -11. Let i = -0.05 - q. What is the nearest to 0.1 in -3, z, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -11*q + 110. Let g be a(9). Solve 0 = -4*k + g - 27 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -859*w**3 + 24054*w**2 - 58*w + 42. What is i(28)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*f - 24 = 0, 0*f - 26 = 4*j + 3*f. Put 5\/2, -1, j, 1 in ascending order.\nAnswer: j, -1, 1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 125864 - 1397*y**2 - 125864 as q + v*y**2 + b*y and give v.\nAnswer: -1397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*y - 13*y**2 - 81*y + 18 - 81*y - 4*y**3 + 171*y as o*y**2 + f*y + q + l*y**3 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 6\/7 (b) -0.07 (c) 5 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 1. Let o be u(-8). Let h = 3 + o. Let q = -7 + h. Solve m = -q*m + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**5 + 0*i**5 + 4*i**5 + (-3*i**5 + i**5 + 3*i**5)*(0 - 3 + 4) + 0*i**5 + 0*i**5 + 2*i**5 - 5*i**5 + 2*i**5 - 5*i**5 - i**5 + 4*i**5 - i**5.\nAnswer: -2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 7 = -j, -5*w = 3*j + 7 - 2. Suppose 30*u**3 + 3*u**4 - 123*u**2 + 120*u - 6*u**4 - 48 + 24*u**w = 0. What is u?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 9*n**7\/14 - n**4\/12 - 16*n**3\/3 - 3*n - 5. What is the third derivative of d(k) wrt k?\nAnswer: 1620*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5 - 246*w**4 + 7380*w**3 - 66750*w**2 + 239583*w - 296604 = 0. Calculate w.\nAnswer: -107, 3, 4, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 3*l**2 + 4*l + 3. Let f(q) = 5*q**3 + 11*q**2 + 15*q + 13. Let u(t) = -2*f(t) + 9*k(t). What is u(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 8 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -210996526 - -1.1\nAnswer: -210996524.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 5*l, -5*n + 31 + 14 = 5*l. Suppose -5*q - n - 15 = 0. What is the remainder when (q\/(-4))\/((-1)\/(-53)) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -25 + 69. Let z = -42 + 73. What is the remainder when z is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -436520.\nAnswer: 436523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-22)\/24*(-18)\/(-14) and -17\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j = -38*j - 234 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -169008 divided by 503\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 378487139 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 44*x - 401. Give k(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/152*(-296)\/259?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*a**2 + 274*a**2 - 1105*a**2 + 280*a**2 + 272*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -384\/17 < -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*d - 26. Suppose 0 = -5*n - 2*r - 21, 5*n = n + 3*r - d. Let q(z) = -z**3 - 4*z**2 + 4*z - 1. Determine q(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**2 + 673*t**3 - 3*t**2 - 2 + t - 671*t**3 as d + h*t**3 + z*t**2 + m*t and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37\/(6216\/(-72)))\/(135\/25830).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38368 and 78678380?\nAnswer: 629427040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 814200 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -37628, 3, 2 in increasing order.\nAnswer: -37628, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*m + 9 = 27, 15 = g + m. Let f be -76*((-51)\/g + 4). Suppose 0 = -5*j + 5*x + 50, 4*j + 2*x - f = -x. Solve 3*z = j*z - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**6\/60 + a**5\/75 - a**4\/12 - 2*a**3\/15 + 29*a**2. Determine t so that o(t) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 3:51 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 5*h**4 + 12 - 12)*(6*h + 9 - 9).\nAnswer: 30*h**5 + 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 5:34 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.600566 nanometers?\nAnswer: 0.000000600566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7687, -19552, -31391, -43192, -54943, -66632, -78247?\n\"Answer: 2*u**3 + u**2 - 11882*u + 4192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -667.8 times 5?\nAnswer: -3339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 24*x - 1274 = 0. Let d(y) = -22*y + 6. Let v be d(-4). Suppose x*q - v*q = 300. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 524*w - 527*w + 30 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3776790 is divided by 6434.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -197 + 228. Suppose -30*z = -r*z. Sort z, -20, 2 in ascending order.\nAnswer: -20, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*q + 13. Suppose -3*h = 5*g - 9, -q*g + 2*h = -3*g - 13. Suppose -j + 2*r = 2*j - 275, -263 = -g*j - r. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-3 - 0\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.000004 millilitres to litres.\nAnswer: 0.009000004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75616 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**3\/w)*w)\/(w**(-8)\/w))**(2\/61)\/((w**(-1))**8*w**(2\/7)\/w**7) assuming w is positive.\nAnswer: w**(6409\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-64)\/(-110) - 20\/50. Is -1 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2. Let b(d) = 3551650*d. What is x(b(k))?\nAnswer: 37842653167500*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 2*l, 5*c + 2*l - 3 = 6*l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**6\/120 + y**5\/60 + 5*y**4\/24 + y**3\/3 - 23*y**2. Let g be c(-3). Let q(n) = n**2 + 47*n + 11. Is q(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(8\/7))*n**(1\/8)\/n)\/(n**6)**(47\/3))**15 assuming n is positive.\nAnswer: n**(-80655\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scaccbaaeba. What is prob of picking 1 b and 3 c?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24879 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-2 - 364\/(-4)). Suppose -a - f + 4 = 0, 2*a + f - 31 = -2*a. Suppose -a = -5*p + u. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 1:11 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -6*i - 25. What is l(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 475972 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3722 or -4063?\nAnswer: -4063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 7:33 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -113*t - 1363. Determine f(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a milligram in micrograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -653*y - 908*y - 384*y - 1687*y.\nAnswer: -3632*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 171*y = -169*y - 17, 0 = -y + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.421 + 0.421. Which is greater: d or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185444897?\nAnswer: 11, 16858627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**3\/6 + 2*b**2 - b. Let z be a(0). Solve 0 = 2*j + x + 4*x - 9, z*x - 12 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/a**9)*((((((a*a**(-2\/19))\/a)\/a)\/a)\/a*a)\/a)\/a)\/((a\/(a\/(a\/(a*a*a**(-14))))*a*a)\/a*a*a**(-1\/16)) assuming a is positive.\nAnswer: a**(-2749\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**4 - 1577*u**3 - 3117*u**2 wrt u.\nAnswer: -24*u - 9462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 r when four letters picked without replacement from glprypryryr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4 = 2. Suppose -5*g + z = -43, -3*g - o*g - 2*z + 49 = 0. Calculate the greatest common divisor of g and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**4 + 947*a**3 + 2*a**2 + 3*a + 199?\nAnswer: -12*a**2 + 5682*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47853 rounded to two dps?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 37*b + 1. Is o(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.485888 months in years?\nAnswer: 2.123824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -46.05*-2\nAnswer: 92.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bocoboobbccbcbcccb. Give prob of sequence oob.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1026, 2051, 3076, 4101, 5126?\nAnswer: 6151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3438 + 17866. List the prime factors of a.\nAnswer: 2, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 271, 269, 267, 265, 263?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -8. Let r be -5 + (-1 + 4 - (-999)\/204). Let v = -45\/17 + r. Which is the closest to v? (a) -2 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 98*f + 584. Let q be h(-6). Which is the closest to q? (a) 0 (b) 1 (c) -16 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3)\/(7 + 143\/(-22))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 10*w**2 + 18*w + 10. Let q be x(-8). Let t(u) = 3 + 7*u**2 - 2*u + 5*u - 4. Is t(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1848 and 2436.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 bigger than -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2064, -4126, -6188, -8250?\n\"Answer: -2062*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*(1 + sqrt(1216)) - sqrt(1216)) + (sqrt(114) + 2*sqrt(114)*-2 + sqrt(114))\/(-1*sqrt(6)*-2 - sqrt(6)))*2.\nAnswer: -84*sqrt(19) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*i - 6*i - 4*v + 36, 3*v = 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 269 in 40, -362, 2, 0.4?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bneb when four letters picked without replacement from {s: 4, n: 2, b: 3, k: 1, e: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 865, 1747, 2617, 3475, 4321, 5155, 5977?\n\"Answer: -6*j**2 + 900*j - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from {h: 4, z: 1, v: 2, t: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (148*v - 93*v + 284*v)*(-12*v - 2 + 1 - 2).\nAnswer: -4068*v**2 - 1017*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - (-3 + 0 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*p - 591077 - 598654 = 354006. What are the prime factors of p?\nAnswer: 23, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-781 - -779) + (-16)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/105)\/((-6)\/(-9)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 310862204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*g = 0. Suppose -k + g + 2 = 0. Is ((-66)\/(-10))\/(k\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336 = -258*h + 696 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.08 - -2.98. Let m = z + -1.3. Let p = -1.8 + m. Put p, -2, -7 in increasing order.\nAnswer: -7, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/19, -1\/4, -0.145?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212 + 22129426278.\nAnswer: 22129426490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**2 - 1. Determine a(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -13.93. Let b = v - -0.07. Let h = -0.1355 + b. What is h rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386180 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 3:07 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*c - 25 + 5, 4*c = 5*l + 16. Let s(j) be the first derivative of -j**2\/2 - 9*j - 1. Determine s(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 1203.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -31. Is -2\/147 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*l - 14, r - 4*l - 17 = -0*r. Let h be 1\/2 - 3\/(-2). Suppose 4*j - 2*m = 0, -3*j = -h*m + 3*m - r. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (2 - -1) - (1 + -1). Suppose 0 = h*j + 3*g - 258, 0 = -5*j + 3*g + 607 - 193. Suppose 4*i = 72 + j. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-16)*j**7*(j**(1\/4))**(-1\/18))**(-9\/5) assuming j is positive.\nAnswer: j**(649\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*u**3 + 46329*u + 348139 with respect to u.\nAnswer: -6*u**2 + 46329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from isioobh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -162149\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-84)*(0 - (-18)\/40)*(-12645)\/22761.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 8 = 3*k. Suppose 0 = k*v - 0*v - 4. Suppose r - v*r - 5 = 0, 5*q - 275 = 5*r. What is q rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 4*d + 1. Calculate v(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 18 + 15 = 0. Calculate the highest common divisor of 17 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1872) + -5 - -1*sqrt(1872)*1)**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 128 - 109. What is the greatest common factor of 95 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -4 - -4) + -1 + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 44, 6, -0.5?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1787996004 - -0.1788. What is i rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/13, 7386, -3 in ascending order.\nAnswer: -3, 4\/13, 7386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218385 is divided by 12127?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6926, -27590, -62022, -110222, -172190, -247926, -337430?\nAnswer: -440702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-7)\/56)\/(2*(-8)\/(-2528)))\/(10\/40)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = -2*y - 2*w, 4*w - 343 = 2*y - 5*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 12*x + 39. Let u be p(-6). Let j = -3 - -5. Suppose 3*f = -2*m + 343, 3*m = -u*f - j*m + 331. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 divided by -4027\nAnswer: 103\/4027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1734 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 11:09 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 20 - 15)*(2*r - 3 + 3).\nAnswer: 44*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1866228, -1866236, -1866244, -1866252, -1866260?\nAnswer: -1866268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32.115 + -32. What is u rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20303 (base 4) in base 8?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7548, 18582, 29628, 40692, 51780, 62898, 74052, 85248?\nAnswer: 96492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5 + 2*q**2 + q**2 + 2 + 2. Let j be f(-2). Suppose -3*z**5 - 5*z + 5*z - j*z**4 - 3*z**3 + 5*z**4 = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220237740 divided by 18.\nAnswer: -12235430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273, 530, 787?\nAnswer: 1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4770218*q**4 - 4632621.\nAnswer: -19080872*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16252 and 8228?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-1)*1)\/((-1)\/(-25)). Let b be 2\/(-11) + 171\/33. Sort b, n, 4 in increasing order.\nAnswer: n, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3705 and 3315?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/3)\/3)\/(2\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 201206.3 to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 4, 0.02, -1.2, -325, 2, 1.4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(128\/60 + -2). Let u be (1\/(-21))\/(5\/o). Are 2\/9 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -2*(-8)\/(-16) + -47 + 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 13*l - 13. Let c be i(2). Let q(h) = 31*h - 3. List the prime factors of q(c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/35 + 18\/(-21).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-35) - (-4)\/(-10). Suppose 4*m - 4*q + 92 = 0, 5*m + q = -k*m - 97. Is -20 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 - 252*o + 252*o + 365*o**3 - 3*o**2 + 0*o**2 to the form t*o**2 + j + c*o + f*o**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-36 + (-4)\/(-1)). Let o be 4\/(0 + (-1)\/(-4)). Calculate the greatest common divisor of o and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288 and 18?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/((n\/(n**2\/n))\/n))\/((n\/n**9)\/n))\/(n**(-1)*n*n)**(2\/47))**19)**(2\/7) assuming n is positive.\nAnswer: n**(19570\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -7*c + 4. Suppose 3*t - 18 = -3*b, 5*b - 27 = -5*t + t. Suppose -z - b = -5*v + 5, -4*v = 4*z - 16. Which is greater: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - v - 18 = 0, -2*v - 15 = -i - 7*v. Suppose -4*x - 4 - 4 = 0. Let z(o) = -3*o - 4. Let b be z(x). Put b, 0, i in ascending order.\nAnswer: 0, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 408, 552, 692, 828?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 > -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2302.\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.5, -0.1, -2\/11, -24, -46?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from oufffgffuffwkf?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 4612\/44 + 2\/11. Suppose 68 = -97*z + g*z. Solve -z = -3*b - 5*p, 5*b + 5 - 12 = -3*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75 - (-47 - -92)) + 81?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 104.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**8\/336 + 221*x**6\/60 - 133*x**5\/20 + 37*x**2 + 8. What is the third derivative of f(t) wrt t?\nAnswer: -60*t**2 + 2652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -16. Let z = -5 + r. Let a = -1.1 + z. Which is greater: 1\/4 or a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 178\/5? (a) -4 (b) -3 (c) -0.04 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f + 21. Calculate n(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1189618 is divided by 150?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5495.728 - -5492. Round b to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 402 - 2820\/7. Let p = 641.8229 + 0.0771. Let b = -642 + p. What is the nearest to -1\/2 in a, 2, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 3*p + 86 - 1\/2*p**2 + 1\/4*p**4 - p**3. Factor o(r).\nAnswer: (r - 3)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -2*z - 5, 229*p = 5*z + 226*p + 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.167132 and 153 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -547 or -553?\nAnswer: -547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1412919 by -1.\nAnswer: -1412919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1360663*c**2 - 3*c + 1359998*c**2 + 3*c.\nAnswer: -665*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*v - 16, -6*h - 6 = 3*v - 3*h. Suppose -v*u + 8 = -16. Let m(a) = 1858*a - 44530. What is the smallest common multiple of m(24) and u?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l**2 + 3*l**2 + l**3)*(l + 6 - 2 + 9) as a + z*l**3 + v*l**2 + t*l**4 + b*l and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 16. What is the closest to 0.2 in -2\/5, a, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23045574883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-20)*3\/((-18)\/(-4))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (173 + 2*s - 221 - 4*s)*(2*s - 3*s + 4*s) + (2*s**2 - 4*s**2 + 5*s**2)*(-5 + 4 - 1).\nAnswer: -12*s**2 - 144*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 2. Let v(i) = 7*i - 13. Let t = 99 - 60. Let g(f) = t*y(f) + 6*v(f). Let j(r) = -2*r**2. Determine j(g(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30.3 + 31.3. Which is greater: 39 or q?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 + 55. Which is the closest to -10\/9? (a) -1 (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 65 = 59*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1159 - 1087) + 8 + -24\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -152\nAnswer: -5\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.556 + 3.556. What is the fifth smallest value in -0.29, -5, -5\/2, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 312992 = 35948. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 13, -4, 0, -0.22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + ((-8)\/6 - -2). Sort 3, -1, y in increasing order.\nAnswer: -1, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(108)\/(sqrt(9) + sqrt(63)\/sqrt(7) + sqrt(9))).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*j + 13, 0*j - 5*m = j. Suppose -3*p = -1 - j. Put -1, 4, p in increasing order.\nAnswer: -1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -2, 1073, -3 in decreasing order.\nAnswer: 1073, 1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - (-4 + sqrt(891)*2))**2.\nAnswer: -72*sqrt(11) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d**2 + 14*d + 4. Let p be w(6). What is the remainder when 146\/8 + (-69)\/p is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 8 - 2. What is the second derivative of 0 - d*q + 0 - 5*q**4 wrt q?\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -190742?\nAnswer: 1144452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19870.\nAnswer: 2, 5, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 + 6.6. Let l = -261.14 - -260.84. Sort l, 3, s.\nAnswer: l, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -325799, -325795, -325791, -325787, -325783, -325779?\n\"Answer: 4*t - 325803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 + 4 + 11 - z**3 to b*z + h + j*z**2 + i*z**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -714707, -1429439, -2144171, -2858903, -3573635, -4288367?\nAnswer: -5003099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - -1 - 6 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 1967*s - 298822. Calculate x(-166).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7469 + -7458. What is the closest to -1 in 0.2, -0.5, -5, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w + 111. What is a(-19)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**5\/60 + 5*c**4\/24 - c**3\/6 - 3*c**2. Determine p(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 6*h - 1. Let u be d(-5). Suppose 12 = 4*z - u*s, 2*z = -0*z + 5*s + 6. What is the second derivative of -z*c**5 - 2*c + c**2 - c**2 wrt c?\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apatappta. What is prob of picking 1 a, 2 p, and 1 t?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14256 and 23760.\nAnswer: 71280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*(-3*(3 + sqrt(1331))*1 - (4*(sqrt(1331) + 1) - -6*(sqrt(1331) + 1))))**2.\nAnswer: 48906*sqrt(11) + 2027704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**6\/3 - 3*q**5\/5 + 151*q**4\/4 - 3065*q**3 - 7044. What is the third derivative of k(b) wrt b?\nAnswer: 120*b**2 - 72*b + 906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 77.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11*n**3 - 5*n**2 - 10*n + 17. Is w(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-c - 5*c + 3*c)*(4 - c - 4).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-2 + 4)) + 2 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39937.5293 rounded to the nearest 1000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -24) + (0 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 43 - 2525 = 3*r, 12374 = 5*o - 3*r. Calculate the remainder when o is divided by 1233.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2\/3, 0.3, 3\/7, 1.3972, 4 in decreasing order.\nAnswer: 4, 1.3972, 2\/3, 3\/7, 0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6533815812?\nAnswer: 2, 3, 31, 17564021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27 + -653?\nAnswer: -681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*w + 736, 5*u - 2*w - 722 = -6*w. Let d = 173 - u. Calculate the remainder when 133 is divided by d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.6974861 to 1 decimal place.\nAnswer: -13.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*-2 - sqrt(567))**2 - sqrt(567)*-2*-6.\nAnswer: -108*sqrt(7) + 5103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-934*j + 934*j + 26*j**2)*(10*j**2 + 0*j**2 + 10*j**2) - 3 + 2*j**4 + 3 in the form i*j + n*j**4 + t*j**2 + h*j**3 + q and give n.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*h + 3312591 + 4164148, 4*x = -4*h + 5981388. Let p = h + -662198. Let l = p - 553153. What is l rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/5 + 244*g**2\/5 - 671*g - 3598\/5.\nAnswer: (g - 14)*(g + 1)*(g + 257)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r - 30*r - 12 - 13*r + 11 to n + u*r and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t + 4*t**2 + 4*t + (t + 0*t + 0*t)*(-t + 4 - 4).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**5\/11 - 68*d**4\/11 + 1182*d**3\/11 + 27064*d**2\/11 - 322280*d\/11 - 348096\/11 = 0.\nAnswer: -37, -24, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 23475 = j - 23476 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42958071 and 468?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m - 18 + 49 - 16 - 3*m - 17.\nAnswer: -9*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3094 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tek when three letters picked without replacement from {u: 1, f: 2, e: 6, t: 2, k: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101303 + -343442?\nAnswer: -242134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26.223 - -26.023. Which is the third biggest value? (a) 1\/13 (b) -19 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8)*7*(-16)\/336?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179102839?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 0.35 (c) -62 (d) 43\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 9. Suppose 4*h = -29 + 9. Let w be ((-3)\/2*-2 - h)\/2. Let l be s(w). Solve x = l*x - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crrrmmjrjjrc. What is prob of sequence jcjm?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-28)\/(-8))\/((-4)\/(-784)*7). Let d = f - 63. Solve d*j - 12 = 39*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 7*n - 34. Solve 0 = n*z - z + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 0*q + 12, p - 18 = -5*q. Let r(m) = m**2 - 3*m - 4. Let f be r(5). Suppose f*k = 3*k - 12. Put 3, p, k in ascending order.\nAnswer: k, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82 times 1365.79\nAnswer: 111994.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*q = -342*q + 12, 5*q = -2*r + 14 - 11 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80750235?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 2*y. Let d(a) = a**2 - a - 1. Give d(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5)\/((((b\/(b*b*b**7))\/b)\/b)\/b))**5 assuming b is positive.\nAnswer: b**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33.2 + 3.2. Let x = 27.9 + c. Let i = 6.91 - 5.91. Which is bigger: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5423301 >= -5423300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 2*u**4\/3 + 53*u**3\/6 + 2*u**2 - 70*u + 3. What is y(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 + 0*d**3 - 2*d**3)*(-45 - 49 + 97 - 3*d)*(-d - 2 + 2).\nAnswer: 3*d**5 - 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2)*(-4)\/5. Let w = 0.1529 - -0.2471. What is the third smallest value in 5, t, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*v**2 + 22*v**2 - 11 + 13*v**2)*(v - v + v) to the form s + w*v**3 + d*v**2 + h*v and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 190635630, 190635625, 190635620, 190635615, 190635610, 190635605?\n\"Answer: -5*h + 190635635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/20 in 0.7, -17, 0.08, 10\/9, 3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76065541?\nAnswer: 89, 109, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76695 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -443695818 and -0.00739?\nAnswer: 443695817.99261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 172 or 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31809624 by 56.\nAnswer: 568029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 29*h**2. Let r(p) = -20*p. Give c(r(t)).\nAnswer: 11600*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - p - 0*p - 90, -2*p + 485 = 5*g. Suppose -4*n - 3 + g = 0. What is the smallest common multiple of 7 and n?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 3*o + 2. Let j be w(1). Let b be 2 + 6 - (j - -20)\/7. Solve 4*p - p = -3*g, -b*g = 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47681.\nAnswer: 47681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 j, 1 a, and 1 c when four letters picked without replacement from xjcaxxjxl?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 + 3*c**2 - 3*c**2. Let s be q(-2). Calculate the highest common divisor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -29430.533, -2 in increasing order.\nAnswer: -29430.533, -2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 190*m**4 - 188*m**4 + m**2 + m**3 + 1 + m - 2*m**2 + 2*m**2 to k + b*m + r*m**3 + q*m**4 + x*m**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50444 = 78*j - 83*j + 2*d, 3*j - 30244 = 4*d. What is the greatest common factor of 24 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28348 and 22?\nAnswer: 311828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(2\/21)\/m))\/(m*m**(-1\/6)\/m))\/(m**6*m*(m*m\/(m**(-2\/5)*m)*m*m*m*m)\/m*m))\/(m**(3\/5)\/(m*m**5)*(m*m**(-2\/5)*m)**(-48)) assuming m is positive.\nAnswer: m**(5031\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 5*i - 9)*(-5 + 0 + 3) + (116 + 41*i - 116)*(3 - 3 - 3)*(-4 + 2 - 2) to v*i + g and give v.\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 8671600*s + 190776168.\nAnswer: -2*(s - 22)*(s + 4335822)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1128 + 1108. Which is bigger: 7\/3 or j?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*i + f, 4*i = -2*f - 0 + 4. Let v(t) = -i*t**2 - 3*t**2 + 6*t**2 - 4*t**2. Let n(u) = u**2. Give v(n(l)).\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.09 + 0.79. Let g = -0.2 + -0.8. Is y at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h - 18 - 2*h + 15 + h as p + q*h and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by (-6)\/((-253)\/22 - -10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2479408 by 482.\nAnswer: -5144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(29\/(-580)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 37380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46208 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6059 is divided by 786?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*m + 249*m - 7308 = 0. What is the highest common divisor of m and 348?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m + 9. Let o = 5 - 2. Let c(z) = -4*z + 5. Let v(n) = -n**3 - 4*n**2 - 5. Let r be v(-4). Give o*w(h) + r*c(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 3. Let s(u) be the second derivative of u**5\/20 - 5*u**4\/12 + u**3\/6 - 3*u**2\/2 + 241*u. What is s(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7437, -7433, -7427, -7419, -7409, -7397, -7383?\n\"Answer: b**2 + b - 7439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18831, -40037, -61243, -82449, -103655?\nAnswer: -124861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2098*p = -42*p - 67622 + 96437 + 99585 for p.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7723?\nAnswer: 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 118 + -1179\/10. Let k(o) be the second derivative of 1\/6*o**3 + 0*o**4 + f*o**5 - o + 0 + 0*o**2. Find the second derivative of k(r) wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + ((sqrt(637) - 3*sqrt(637))*-1 + -3)*3)**2 + -2.\nAnswer: -46108 + 1848*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 35 - (1645 + -1644 - (-4 - -1))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17834 is divided by 5835.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x + 16 = 15*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8741.\nAnswer: 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4477410 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) -5 (c) 1.968\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2322 + -42?\nAnswer: -2404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -113884*y**4 + 421*y**2 + y + 433 wrt y.\nAnswer: -2733216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -6\/25 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*p = -12, -3*p - 20 = -5*h - 2*p. Let x = -1115 + 1109. Let s = 11 + x. Which is the third biggest value? (a) h (b) 20 (c) -0.3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130175 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 38*l**5\/5 + 64*l**4\/5 + 14*l**3\/5 - 12*l**2\/5 = 0.\nAnswer: -1, 0, 6\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -19*j - 157, -2 - 27 = 5*z + 3*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25749, 25829, 25931, 26055?\n\"Answer: 11*y**2 + 47*y + 25691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 832?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f + 7. Let n(s) = -7*s + 14. Let j(z) = 5*b(z) - 3*n(z). Let r be j(6). Let u = r - -13. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.66229706 to four decimal places.\nAnswer: 4.6623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-12)*5\/(-25))\/(33\/(-44)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 7*z - 3*z - 8, -4*m + 3*z + 25 = 0. Suppose -4*a + 1278 = -m*g + 2*g, -g = a - 324. Is a a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -1) + 7 + (-27 - 11 - -95).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**3 - 4759*f**2 - 4449 wrt f?\nAnswer: -6*f**2 - 9518*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 21. Suppose -3*x - 4*l + 64 = 0, -21 + 1 = -x - l. List the prime factors of z(x).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + 0. Suppose 0 = -p + 3 + 36. Let o = 39 - p. Solve o*w + w - 1 = 0, 3*j + 4*w = g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8541 - 8535. Which is the closest to 0.2? (a) -7 (b) -1.1 (c) 1 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29063449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(18\/7)\/m)**(2\/57)*m**(-9)\/(m**(-3\/8)*m*m) assuming m is positive.\nAnswer: m**(-33739\/3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 11 = -9*f + 8*f, f - 5*s + 7 = 0. Let y(r) be the first derivative of -4 - r**f - 3\/5*r**5 + 0*r + 0*r**2 - 15\/8*r**4. Factor y(l).\nAnswer: -3*l**2*(l + 2)*(2*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*j**4 - 3*j**3 - 242*j**2 - 62904 wrt j?\nAnswer: -12*j**3 - 9*j**2 - 484*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 5)*(-w + 2*w - 2*w) + w - w - 2*w - 2328*w - 2282*w + 4703*w to s + t*w and give t.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2. Let g(z) = -3*z + 7*z - 3*z - 4*z**2. Let k be -1*1\/2*(612 - 648). Give k*r(y) - 4*g(y).\nAnswer: -2*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -48. What is the remainder when b is divided by 12\/9*(-42)\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1229457537?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16332666 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 - 4*k + 3. Let x be r(2). Suppose 11 = x*g + y, 0*g + 5*y = 5*g + 15. Let j(n) = 2*n**g + n**2 + 3*n**2. Let u(a) = a**2. Calculate u(j(v)).\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 2 = 2*z, -147*j = -z - 142*j + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/28724 and -115\/1204.\nAnswer: 201068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.29677 to 2 dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*((l*l*l\/l**(8\/5))\/l*l)\/l))\/(l*l**(-13)) assuming l is positive.\nAnswer: l**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344460*-45.\nAnswer: -15500700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1, 40, 173, 448, 913, 1616?\n\"Answer: 8*c**3 - c**2 - 14*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (25 + 18 + -34 - -30 - 3) + -3\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.5337 rounded to one decimal place?\nAnswer: 129.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.6 - 16. Which is the closest to 0? (a) r (b) -5 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 65 = h, -12*j - 202 = -2*h - 0*h. What is the smallest common multiple of h and 1078?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 1\/9, -17\/3, 2, -1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + (sqrt(405) - -1*(0 + sqrt(405)))**2 + -3 + (sqrt(5) - (sqrt(60)*-2 - sqrt(60))\/sqrt(12)) + ((-1 + sqrt(180))*3 + 0)**2*-5.\nAnswer: -6528 + 553*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 3, 9703, 22 in descending order.\nAnswer: 9703, 22, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -119, 4, 18 in increasing order.\nAnswer: -119, 1, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*y - 55 = -87*y. Let u = 767.6 - 767. Let g = 0.3 - 0.4. What is the second smallest value in g, y, u, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0.5, -1\/8, 0.004, 0.4 in increasing order.\nAnswer: -13, -1\/8, 0.004, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1147, 0.1, -3, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12896*r + 15144*r - 32264*r)*(2*r - 2 + 2).\nAnswer: -8448*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/6 + -415 + 417. Which is the third biggest value? (a) -232 (b) o (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 < -270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + q + q = 5309, -5*f + 2*q + 5301 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t - 2. What is i(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 135 - 1\/5*x**5 + x**2 + 0*x + 0*x**4 + 0*x**3. Let o(s) = 9*s. Calculate g(o(y)).\nAnswer: -972*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4922\/559 at most as big as -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 4*z - 24, n + 2*z = 3 + 5. Suppose 0 = 2*p + 8 + n. Let g be (27\/12)\/(p\/(-16)). Put 3, 1, g in increasing order.\nAnswer: 1, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00103185 rounded to five dps?\nAnswer: -0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*b - 42. Let d be 3\/(-4 - 58\/(-16)). Let r be ((-39)\/(-130))\/((-6)\/d). Is b less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3248 divided by -4.\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102221011101 (base 3) in base 5?\nAnswer: -313011423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3280.71 + 3271. Which is the closest to 0.1? (a) 4 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3402*o**2 + 40*o - 1035. Is u(22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdgmgeyt. What is prob of sequence gdmt?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002934303 rounded to 6 decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -108 - -123. Suppose -3*s - 5*b - 31 = -6*s, -k = 3*b. Suppose s*x + 13 + 3 = g, 3*g + x = 13. Solve 3*z - 14 = -4*q, 2*q - 5*z = 14 + g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21 - (-2 + 2 - -3). What is the remainder when (-12)\/t - (-83)\/3 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-372)\/(-3) + (2 - 3) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 + (127 - 77) - 705\/280*-6.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5 + x**2 + x**3 - 7*x**2 - 9*x + 8*x + 9*x. Let z be c(5). Suppose z = 4*a + a. Solve 0 + 4 = a*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -9*r + 85. Determine a(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.014 + -0.09. Let p = 4.924 - a. Let n = -3.1 - -3. What is the nearest to n in -3, 1\/2, p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5204 + 72927\/14. Find the common denominator of a and (-1)\/40*(-25)\/2.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*(u*u**14)\/u*u*u**(-2\/15) assuming u is positive.\nAnswer: u**(253\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 19. Factor -4*c**5 + c**2 + 4*c**4 - c**2 + 8*c**i.\nAnswer: -4*c**3*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19218*r - 19217*r + 4 = -3*q, -4*r = -2*q - 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -171, 4, 54.\nAnswer: -171, 1, 4, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 40*v + 314. Let t be m(30). Let x be (-12)\/(-96)*t*(-2)\/(-7). Suppose 5\/8*p - x*p**3 + 1\/2*p**4 - 1\/4*p**2 - 1\/4 - 1\/8*p**5 = 0. What is p?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 43, 0.2 in decreasing order.\nAnswer: 43, 0.2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3492 = -3*f - 2*u, 0 = -2*f - 2*u - 1748. Let o = 1461 + f. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*s - 1147195, -836*s + 834*s + 764802 = 4*r. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**3 + 33*z**2 + 14*z + 6. Let d be t(-25). Let h = -7663 - 10218. Let v = h + d. What is v rounded to the nearest one thousand?\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212452180667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-k - 1 + 1)*(-1 + 1 + 2) - 19 + 4*k + 19)*(-2*k**2 - k + 2*k + 0*k) to s*k + z*k**2 + j*k**3 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96200 and 1560?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 14) to base 9.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-885)\/(-30) - (-3)\/(-2) and 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 36*k**3 + 21*k**2 - 36*k - 36. Let o(i) = 5*i**3 + 3*i**2 - 5*i - 5. Let u(f) = 15*o(f) - 2*y(f). Let u(s) = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.59 (b) -3 (c) -29 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.574, 0.35, 0.4?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f + 381*f + 2456 - 15346 = 38950 for f.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257009023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 25*g + 39. Let y be q(12). Which is the third biggest value? (a) -1\/6 (b) -2 (c) y (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11814 and 110?\nAnswer: 59070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*n - 368 = -185*n + 3776 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-2\/7)\/o))**(2\/31))**(-2\/93) assuming o is positive.\nAnswer: o**(-64\/20181)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.3 (b) -2\/15 (c) 1 (d) 41 (e) -426\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.22? (a) -1\/2 (b) 0.5 (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -358 + 361. Solve g = -r*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(13) + 3 + -4 - (-2 + sqrt(13) + -3 + sqrt(13))**2)*-3 + -2 + 4 + -3.\nAnswer: -937 + 252*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17 + (-852)\/(-48))*(-400)\/(-165). Let 36\/11*z**2 - 16\/11 - 8\/11*z + 6\/11*z**5 - d*z**4 + 2\/11*z**3 = 0. What is z?\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2586066993?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 2. Let k(r) = 4*r**2 - r + 3. Calculate k(h) - 6*u(h).\nAnswer: -2*h**2 - h - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5918*k - 297*k - 645*k + 657*k.\nAnswer: -6203*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {i: 1, k: 11}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 881*r + 1 + 1835*r - 4553*r - 1 + 1835*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 147 in -0.2, 155\/7, 0.5, -1\/6?\nAnswer: 155\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z + 20*z**2 - 4*z + (0*z + 0*z + 2*z)*(2*z - 4*z + 4*z) - 5*z**2 + 3*z**2 + 0*z**2 + 4*z**2 + 3*z**2 - 4*z**2.\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -20*a - 39*a - 1218 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 3, -1, -19, -57, -121, -217?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8573.47*0.4\nAnswer: 3429.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 31*a - 198. Let d be s(-10). Solve -d*m = -9*m - 4*j + 24, -2*j - 14 = 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (7 + -4 - 13 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1901440 + 12?\nAnswer: -1901429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -7*t + 21. Let p be k(3). Let i be (28\/(-21))\/(42\/(-9) - p). Which is the biggest value? (a) i (b) 0.2 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*w**2 - 15*w**3 + 87*w**2.\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - -31 - 44 - (-2 + 42).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k = -15*k - 2*l, 3*l = -k + 17. Sort k, -2\/11, 4, 0 in descending order.\nAnswer: 4, k, 0, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 5 (b) -12 (c) 0 (d) 401\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43192, -172571, -388172, -689995, -1078040, -1552307, -2112796?\nAnswer: -2759507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7202986?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*i + d, i = -4*d - 7 + 33. Let h(z) = -z**3 + 4*z**2 + 6*z - 3. Calculate the lowest common multiple of h(4) and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 21 = 3. Suppose 4*a + 2*j = 74, 4 = -a + j - y*j. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - -1)\/(-7 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2646614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 235456 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 18, 21, -5, 0.\nAnswer: -5, 0, 6, 18, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d - 3 + 3 + (6 - 3 - 4)*(-5*d + 2*d + 4*d) + 10 - 10 + 5*d + (6 - 6 + 6*d)*(24 + 3 - 4) + (-d - d + 3*d)*(4 + 0 - 2).\nAnswer: 143*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/45*6\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3169, 3122, 3077, 3034?\nAnswer: 2993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 10 + 5. Suppose -c + 5*s + 5 = c, -s = o*c - 80. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.52 - -0.03. Let o = c + 101.49. Let g = o + -100.57. Round g to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 42 = -3*g, -5*g + 28 = -3*g - 5*k. What is the remainder when 66 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p - 26*p + 28 = 0. Calculate the greatest common factor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -90*g - 78*g**2 + 0 - 39\/2*g**3 - 3\/2*g**4.\nAnswer: -3*g*(g + 2)*(g + 5)*(g + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14007 and 2300?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1*j)\/j**(4\/5)*(j*j\/(j**(2\/25)\/j))\/j*(j\/(j\/(j**(-4)\/j)))\/j assuming j is positive.\nAnswer: j**(-72\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b + 36175 = 33*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320 and 4000?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0282, 0.2, 4\/7 in descending order.\nAnswer: 4\/7, 0.2, 0.0282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15060281, 15060275, 15060269?\n\"Answer: -6*s + 15060287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-73))\/(2\/(2\/2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 68 = 5*a + 2*f, 3*f = 3. Suppose c + 10 = -3*s + 3*c, -5*c = 5*s - 25. Suppose 3*z - 4*z + 32 = s. What is the remainder when z is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1 + (-2 + 4 + 0)*(-1 + 0 - 1) + 1 - 3 + 1 + 4 - 4 + 2 - 27 + 16 - 4)*(-5*j**2 + 2*j - 5*j**2 + 8*j**2)*(-3*j**2 + 3 - 3).\nAnswer: -102*j**4 + 102*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a meter in millimeters?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-1.5.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -5. Let k be 1*4\/(-3)*-3. Find the third derivative of -5*j**6 + 4*j**6 + k*j**p - j**6 wrt j.\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c + 1. Let q be 30\/(-12)*(-16)\/(-10). Let b be q\/(-18) - (-316)\/36. Let t = b + -10. Determine w(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -112*f - 661. Let g be a(-6). Solve -o + 5 = -2*n, -5*o - 2*n + g + 14 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 17 = 3*f, 20 = -f + 5*f + 4*w. Find the second derivative of -9259 + 9259 - 38*h + 26*h**f wrt h.\nAnswer: 156*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1287777 rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52942\/119241 - -6\/13249. Determine m so that 0 + 20\/9*m + g*m**2 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.079435 to 3 decimal places.\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-14 + 23 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8593 is divided by 8274.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133721?\nAnswer: 3, 103, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 1 - (-89 + -7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 2:51 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 73?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 0, 5*z - 2*u - 23 = 6*z. Calculate the remainder when (-7 - (-15)\/(-10)*-2)*z is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g + 8 + 0*g - 245 - 4*g as l + y*g and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + -52*4\/4. Let z = 58 + o. List the prime factors of (-4 - (-36)\/z)*-160.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2.5. Let z = 0.57 + -0.07. Let f = 3.5 - z. Sort x, 0, f in descending order.\nAnswer: f, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 4*d**2 - 2*d - 7. Let a be q(-4). Put 5, a, 33 in increasing order.\nAnswer: a, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18\/11 in 3\/5, 0, -2\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 83 - 111. Suppose 3*j - 6 = -21, -4*z = j - 103. What is the remainder when z is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbk when three letters picked without replacement from bbkbbokkokkk.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuu when three letters picked without replacement from xuunuzznnn?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 2. Let k = p - -1. Let g = 0 + 1. Which is bigger: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**5\/6 - 2245*z**4\/6 - 4474*z**3 - 53624*z**2\/3 - 71456*z\/3 = 0. Calculate z.\nAnswer: -2233, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -475.7 * 3.\nAnswer: -1427.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*b + 469*b - 64*b)*(3*b**2 - 3*b**2 - b**2).\nAnswer: -478*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -31133 (base 8) in base 12?\nAnswer: -7563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9))**(-2\/15)*(v\/(v**(8\/7)*v))\/v**(-10\/9) assuming v is positive.\nAnswer: v**(-2\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 402938 divided by 36?\nAnswer: 201469\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -221053, -884210, -1989479, -3536866, -5526377, -7958018, -10831795, -14147714?\n\"Answer: -i**3 - 221050*i**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 23*t + 11. Determine f(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 5:19 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26.96 + 26. Let y = s + -1.04. What is the closest to -0.2 in -6, y, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 40.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1377 - 1374.1. Which is smaller: 0.04 or z?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/2)\/((-201)\/134).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174 and 18618?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15372 divided by 1708?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*d = -313, 3*z - 367 - 85 = 4*d. Let k = z - 42. List the prime factors of k.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4)*(2 - 2). Suppose -4*u - 4 - 8 = w, 2*a - 3*u = 81. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 14*r**2 - 36*r - 11. What is c(-5)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 + 4.3. Let f = 0.053 + -1.053. What is the smallest value in 0.07, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, p: 3, x: 13}. What is prob of sequence pw?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 2\/65 (c) 1.1 (d) 0.1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1, -107, 1, -2\/9 in ascending order.\nAnswer: -107, -1, -2\/9, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 25 - 0.022\nAnswer: 24.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 3*u + 93, 3*v - 103 = v - u. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4}. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 8 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005673735058 rounded to four decimal places?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -48\/11 (b) 54\/7 (c) -1\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -97431890 divided by 9743189\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.99 + -0.01. Let h = -37\/8 + 307\/56. Which is the nearest to 0? (a) h (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 245\/10 - 2\/(-4). Let j = m + -2. Let v be 6\/(-12) + (-2 - 392\/(-16)). Is v > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 14 - 16*f**3.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 + 1490*t + 9019. Give g(-6).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-534*x**2 + 353*x**2 + 119*x**2 + 411*x**2 + 1099*x**2)*(-x**3 - 2*x**3 + 5*x**3).\nAnswer: 2896*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20101022111 - 0?\nAnswer: -20101022111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 409500 divided by -4875?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 8*z**2 + 8*z - 7. Let m be o(-9). Suppose -3*b = -2*y - 161, 2*b - 112 = 2*y - m. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 7. Let g be (-16)\/7 - (-4)\/2. What is the nearest to -2 in g, -4, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 155 - 312 + 128 + 36*b**2 + 92 to the form l*b**2 + q + u*b and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.9? (a) -1 (b) -2 (c) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3 + 16\/(-6). Let q be 2\/f + (-15)\/(-3). Suppose 3*i = -9, -4*m + q*i - 10 = 14. Is m greater than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2305304 - -4.\nAnswer: -2305300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 965046429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163024 - 163024 - 3175*o.\nAnswer: -3175*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 5*u**2 - 2*u - 1. Let t be l(-4). Suppose 296*n = 289*n + 175. Are n and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**0)**36\/(m**0)**(-15\/8) assuming m is positive.\nAnswer: m**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 4*p + p)*(0 - 1 - 2 + (5 - 2 - 4)*(-4 + 1 + 1) - 4 + 2 + 4).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from errrrerrrerrrrrrrree. Give prob of picking 3 e and 1 r.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 223389600*v**2 - 912016970?\nAnswer: 446779200*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 6:30 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(162) - (-2 + sqrt(162))*6)**2.\nAnswer: -16776 + 4320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 15 = 0, -5*k = 2*v - 6*k + 127. Is v at most as big as -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**4\/12 + 7*t**3\/3 + 19*t**2 - 713*t. Give g(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44905215 by 3.\nAnswer: 14968405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88 + 90. Suppose -3*b = -4 - j. Solve 0 = 3*m - z - 11, -b*m + 7*m + 3*z = -5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 91824735 and 0.071.\nAnswer: 91824735.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1. Let g(s) be the second derivative of 22*s**3\/3 + 12*s**2 - 3408*s. Calculate -24*b(p) - g(p).\nAnswer: -44*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 6639096?\nAnswer: 6639096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 84*c + 622. Calculate w(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 1\/2*k**2 - 5 - 12*k + 1\/3*k**3. Let f(b) be the first derivative of -2*b - 1. Calculate 11*f(u) - 2*m(u).\nAnswer: -2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*z = 1004, 4*g - 1365 = 2*z - 367. What is the greatest common factor of g and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/5, 0.7, 997\/3, -4 in decreasing order.\nAnswer: 997\/3, 2, 0.7, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjcbljbbcbbbjjcbbc. What is prob of sequence jj?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(425) + -1 + 5 - sqrt(425))*2 - 5*(sqrt(425) + (sqrt(425) - (-1 + (-1 + sqrt(425))**2)) + (sqrt(425) + -1)**2 + -4)) + -1.\nAnswer: -50*sqrt(17) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 124*r**2 - 106 + 110 - 125*r**2 + 2*r + 4*r**4 - 9*r**3 + 11*r**3 in the form l*r**4 + c*r + x*r**3 + n + i*r**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/1204 and 113\/946?\nAnswer: 13244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/(s*s\/(s*s*s**1*s))))*s**3*s*s)**(-1\/28)\/((s\/(s*s**0))**(-37)\/(((s*s**0)\/s)\/s*s\/(s*s**(2\/13)))) assuming s is positive.\nAnswer: s**(-131\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-15\/4)\/k**(-16) assuming k is positive.\nAnswer: k**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r - 2\/3*r**3 + 0 + 0*r**2. Let w(z) = -z. Calculate q(w(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and 14.35.\nAnswer: 1.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14027117 + 288*n**3 + 14027117.\nAnswer: 288*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7565220 to the power of 1\/2, to the nearest integer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/11, -42, -67773, 5, -0.2?\nAnswer: -67773","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*u - 2*b + 4*b, 0 = 3*u + 4*b - 75. What is the units digit of (-12)\/(-42) + 813\/u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*p - 16, -y = -3*p - p + 18. Suppose -p = -4*q + 23. What is the greatest common divisor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6720 (base 10) in base 6?\nAnswer: -51040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -333 divided by 2906.\nAnswer: -333\/2906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 17. Calculate the highest common factor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15615 is divided by 3896?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - 393. Let u = s + 353.48. What is the biggest value in u, -1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -3\/5, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 172709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**3 - 52449054*a**2 + 8277*a + 14375.\nAnswer: 18*a - 104898108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, j: 1, i: 3, a: 1, r: 1}. What is prob of picking 1 i and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jp when two letters picked without replacement from jppjpjpjpppjp?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7231 + 1042?\nAnswer: 8273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -545525 divided by -5?\nAnswer: 109105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 131 and 4294086073.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, q: 1, u: 1, h: 1, l: 1, d: 6}. Give prob of picking 1 q, 2 i, and 1 l.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-14))\/(6\/7). Let g(t) be the second derivative of -3*t - 1\/2*t**4 - x*t**3 + 0 - 1\/2*t**2. Give g(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -7. Suppose 3*z + 2*z + 3*g - 56 = 0, -3*g = 3*z - 36. Let y = z + i. Solve -s = 5*j - 14, y*s - 3*j = 7*s - 26 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = -39*f. Is f not equal to 6\/2057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*i = 473 + 1771, -5*n = -2*i - 11310. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332 + 1?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(7\/(420\/(-8))). Let r = z - -20. Suppose 3*q - r*q + 104 = 0. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 605123632*q + 289104206.\nAnswer: 605123632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*((-2)\/(-3) + (5 - 1547\/255)). Let d(r) be the first derivative of -3\/2*r - 1\/8*r**3 - 3\/4*r**s + 15. Determine y, given that d(y) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**12)\/i**(6\/19)*i**0\/i**(-22) assuming i is positive.\nAnswer: i**(659\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-9\/2)*f*f\/(f**(-5)*f) assuming f is positive.\nAnswer: f**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -33?\nAnswer: 13\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18459, -36670, -54881, -73092, -91303?\n\"Answer: -18211*o - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a micrometer in nanometers?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**5 + 2*n**4 + n**3. Let k(r) = -r**5 + 6*r**4 - 18*r**3 + 24*r**2. Let c(q) = k(q) - 2*z(q). Factor c(p).\nAnswer: p**2*(p - 2)**2*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -82, -106, -68, 44, 242?\n\"Answer: 2*t**3 + 19*t**2 - 95*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + 17.6. Let w = x - 22. Let q = 0.1 - 0.6. Which is the smallest value? (a) -3 (b) w (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106514 = -18*r - 106946 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-30))\/((-22)\/275)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13.9? (a) -27 (b) 13 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19751*v**4 + v**3 + 19751*v**4 + 76*v**2 + v**5 + (-2*v**3 + v**3 - v**3)*(-5*v**2 - 8 + 8).\nAnswer: 11*v**5 + v**3 + 76*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*v**3 + 14*v**4 + 11*v**3 + (-1 + 5 - 2)*(-3*v**4 + 6*v**4 - v**4) + (-4*v - v + 3*v)*(2 - 4 + v**3 - 6*v**3).\nAnswer: 28*v**4 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68 (base 11) to base 3.\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -3*y - 29, -3*y + 8*c + 2 = -4*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, x: 4, f: 6, w: 5}. Give prob of sequence xrx.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 393.7914 millennia?\nAnswer: 39379.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3317922609.\nAnswer: 3, 1105974203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8574518943 to the nearest integer?\nAnswer: 2047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 6 + 22. Let w(f) = f**3 + 14*f**2 + 14. Is w(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.041 + 9.9. Let b = c - -0.041. Is -3\/8 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001163 rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -16. Let x be (-3)\/s + 33\/1953. Let h = x - 2\/31. Which is greater: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 41364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2258 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 3*f**2 + f**2)*(-13*f**3 - 21*f**3 - 4*f**3).\nAnswer: -76*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 9:47 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 3:31 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 53*f + 159. Let x be p(-3). Let q(t) be the first derivative of 0*t**4 + x*t**2 + 0*t**3 + 9 + 7*t + 8\/5*t**5. Differentiate q(i) wrt i.\nAnswer: 32*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 3*o - 4. Let f be m(5). Let t(j) = -1 + 2*j + j - f*j. Let l = -18 - -17. What is t(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 6*w**2 + 6*w + 8. Let g be u(7). Suppose -3 = -o, 3*o - 30 - 99 = 4*f. Let y = f - -88\/3. What is the second smallest value in y, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4649, -5704, -6735, -7730, -8677, -9564, -10379, -11110?\nAnswer: -11745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5002217 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77462?\nAnswer: 2, 7, 11, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 43873*j**2 - 2*j**4 - 43874*j**2 - 1728*j + 4*j**4 in the form i*j**3 + t*j**4 + q*j**2 + a + w*j and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16272330103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -8 + -7 + 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -39*r + 10 + 160*r - 39*r - 40*r - 39*r. Let q(c) = -6*c - 20. Determine 9*m(v) + 4*q(v).\nAnswer: 3*v + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84884*g**3 + 4*g**2 + 1723 wrt g?\nAnswer: -509304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3552262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -11*z**3 - 29. Let i(d) = 7*d**3 + 19. Let y(u) = 8*i(u) + 5*n(u). What is y(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2143 (base 6) to base 4\nAnswer: -13233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -765 greater than or equal to -767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77 + -307. Let s = r + 596. Does 33 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63564136819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, m: 5, a: 1, i: 5}. Give prob of picking 1 w, 1 i, 1 a, and 1 m.\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -36 (b) 0 (c) 17 (d) 25.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-16 - -18 - 7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n. Let j = -5950 + 19235. Let w(p) = 14*p - j*p**2 + 47*p + 13287*p**2. Give r(w(f)).\nAnswer: -2*f**2 - 61*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + 0*l - 2*l)*(-2*l + 1 - 1) - 13*l**2 - 2 + 2 in the form o + m*l + r*l**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y + 3. Let r(p) = -51*p**2 + 33*p - 784. Let l(s) = r(s) - 8*t(s). Find the second derivative of l(u) wrt u.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, q: 3, c: 10}. What is prob of sequence ffcc?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -25. Suppose -2*d - 20 = -t, -3*t = d + j - 40. Solve t = 5*p - 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.6672359769 + -7.\nAnswer: -20.6672359769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.55+363.03046229\nAnswer: 362.48046229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 15 + (-1 - 2) - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4*1*sqrt(1872) - 1*-2*sqrt(1872)) + -6*(sqrt(1872) + 3)*2)**2.\nAnswer: 10368*sqrt(13) + 137376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-128)\/10*(-8)\/320*-100\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89\/3512 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Suppose -4*x - 25 = r*t, 2*t - x = -2*x - 10. Calculate the common denominator of t\/72*-201*1 and 101\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 1 + 15. Suppose -7 - 8 = -5*k. Let c be (2 - 2)\/k - -8. What is the greatest common divisor of c and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 11*a**2 - 123*a - 202. Is m(23) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62.125*0.5\nAnswer: -31.0625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 0) + (-41 - -47).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**3 + 50*s**2 - 367*s - 18. Does 16 divide t(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 2)*(-1)\/(10\/(-36)). Find the first derivative of -9*w**3 - 2*w - 5 + k*w**3 + 2*w wrt w.\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -12. Let k be (0 + 1)\/(r\/(-16)). What is the third derivative of 5*h**k - 3*h**2 - 4*h**5 + 2*h**5 wrt h?\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = 15*d - 34*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -17. Let l = -7 + a. Suppose -5*c + 35 = l*t, 7*t - 2*t - 30 = -4*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -200 or -198?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0.4. Let v be (-1 + -2)*20\/(-15). Let r be (4\/(-55))\/(v\/10). Which is the nearest to p? (a) -4 (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from qhhhhqhqhhh?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 4. Let p be l(-5). Let n(d) = -d**3 - 3*d**2 - 4*d - 3. Let i be n(-2). Does 7 divide (-10 + (i - 1))\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(3\/7))**28 assuming i is positive.\nAnswer: i**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 4\/5 (c) 2\/47 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 + 2*t - 2*t)*(-t**2 - 3*t**2 + 5*t**2 + (2 + 1 - 2)*(-3*t**2 + 3*t**2 + 2*t**2)).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/38 - (7 - 1179\/171). Is t != 2\/3831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/(-4)*(-80)\/(-260). Find k such that -175\/3*k**3 + 8\/3 + 49\/3*k**4 - 68\/3*k + 62*k**j = 0.\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 21904*j**2 + 8*j + 3. Is f(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 28248520.\nAnswer: -1\/28248520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15776618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -161*m**3 + 5*m**2 + 637*m.\nAnswer: -966*m + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**6\/360 - y**5\/90 + y**4\/18 - 5*y**3\/6 + 6*y**2. Let w(i) be the first derivative of m(i). Factor w(l).\nAnswer: -(l + 2)*(3*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or -4\/121?\nAnswer: -4\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/100)\/(135\/(-270))?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dduutdduuutd. What is prob of sequence uuuu?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2160782 and 1?\nAnswer: 2160782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 6.1. Let y = -1.1 + l. Is y at most -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**7\/840 + x**6\/36 + x**5\/12 - 11*x**4\/24 + 7*x**3\/3 + 73*x**2. Let s(b) be the first derivative of v(b). What is s(-9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 7. Let l be d(7). Suppose 0 = -l*u - u. Suppose -2 = -w - 0*k - 3*k, u = k. Solve -5*q + 2*h - 4 = -w, 2*h = -3*q + 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-350)\/12)*27\/(-18)*-5.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -1275*l**3 - 1308140*l**2 + 1319685*l - 10270 = 0. Calculate l.\nAnswer: -1027, 2\/255, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0.2 (c) 0.7123 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14707.\nAnswer: 7, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/7 (b) -256 (c) -0.4 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -928, -2665, -5142, -8293, -12052?\n\"Answer: 11*n**3 - 436*n**2 - 506*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28430574*h + 14714525?\nAnswer: -28430574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*v - 26304 + 45*v**3 + 26304 - 20*v.\nAnswer: 45*v**3 + 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k + 1 - 1)*(-3 + 1 + 4 + (2 - 4 - 1)*(22 + 24 - 14) + (0 - 2 + 0)*(-1 - 1 + 1)) as j*k + u and give j.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90*z**4 - z**3 - 3*z**2 - 26 wrt z?\nAnswer: 2160*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 148*m**2 - 10*m - 11. Let h be y(-1). Let o = h - 144. Solve -5*w - o*p = 28, 2*w + 3*p + 18 = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23422 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-72) + (-1)\/4. Let f = -26 + 26. Which is the nearest to f? (a) h (b) -0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-352)\/(-792))\/(-2*(-1)\/9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*j + 604*j + 937*j.\nAnswer: 1383*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 2*g + 2*g + m, -4 = -2*m. Suppose 3*i + 2*i + 10 = 0. What is the remainder when g is divided by 3\/i + 49\/2?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3713 + 7115. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1678428.5 - -70874\nAnswer: 1749302.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bll when three letters picked without replacement from nnnbnbnbbllblnbnn?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -2c2269?\nAnswer: -2c226c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 + 2)*(3634 - 79*k - 3634) to the form f + w*k and give w.\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8906*g - 8923*g + 50 - 492 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**3 - 8*j**2 + 2*j - 6*j**3 + 14 + 4*j**3 - 3*j. Calculate the lowest common multiple of 18 and u(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**5\/20 + c**4\/2 + 3*c**3\/2 - c**2\/2 - c. Let a be s(7). Suppose a = 3*k - 8. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.97 - -0.13. Let z = f - -1.9. Let y = 1 - 1.1. What is the closest to y in -0.4, 4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/3 and 75\/226.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 6. Let n = 10 + -7. Solve 0*p = p - 4*c - d, -n*p = 2*c + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5050685.\nAnswer: 5, 23, 37, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 + 70*y + 2. Let w be s(0). Solve 3*q - 5*n = 28 - 23, 0 = n - w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*p - 2, -2*p + 1 + 3 = 0. Suppose -f*t + 5*k + 10 = -13, -2*t + 2 = 2*k. Suppose 0 = 2*q + 5*i - 5687, -t*q + 11309 = -2*i - i. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 12160?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m - 7*m + 3*m + (0 - 2 + 1)*(m - 3*m + 5*m).\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**4\/5 - 568*x**3 - 2101818*x**2\/5 = 0.\nAnswer: -537, 0, 1957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/5 - 140966*i**2\/5 - 2483997126*i\/5 - 2483856162\/5.\nAnswer: -2*(i + 1)*(i + 35241)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-30) - 140\/(-50).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406552 is divided by 20326.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 0.150147?\nAnswer: -1.201176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/9 + 2 + 1210\/99. Let w(b) = -b**2 + 11*b + 18. Let g be w(6). What is the greatest common factor of m and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 2\/(0 - -2). Let m be 0\/((-35)\/(-7) + -4). Suppose 2*t = 4*z - 12, -2*z + m*t + s = -3*t. Solve 3*q - r + 5*r + 32 = 0, -z*q + 5*r + 9 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z. Let k(q) = -13*q - 1. Calculate -4*j(u) + k(u).\nAnswer: -17*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b9 (base 15) in base 11?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-7 + 14 - 7). Let m(o) be the first derivative of 4\/5*o**5 - 1\/3*o**3 + 0*o**4 - 1 + k*o**2 + 0*o. What is the third derivative of m(q) wrt q?\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 257316, 514637, 771958, 1029279, 1286600, 1543921?\n\"Answer: 257321*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*i**3*j**3 + 275*a**3*i**3*j - 3*a**3*i**2 - a**3*i*j - 6*a*i**2*j**2 - 3*i**2*j**3 wrt i.\nAnswer: 12*a**3*j**3 + 1650*a**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 9*t + 3. Let y be g(-9). Find the first derivative of 4 + 4*w**y - w**3 + 8 - 2 wrt w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x. Suppose 5*m = -7*p + 3*p + 5, 3*m = -2*p + 5. Let k(w) = -11*w + 7. Let n(r) = 7*r - 4. Let z(y) = m*k(y) + 8*n(y). Give z(h(q)).\nAnswer: -3*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and -22?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cctcxutcxux. Give prob of picking 1 c and 1 u.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3*h = 10, -t + 11*h + 25 = 7*h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5222659 (base 11) to base 13.\nAnswer: 1ba7389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125788953*z**2 + 229*z - 423294?\nAnswer: -251577906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 2:59 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**5\/20 + x**4\/3 + 5*x**2\/2 + x. What are the prime factors of w(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or -428?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -211688 by -188.\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 580 = -494. Calculate the remainder when w is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.7602 times -0.199?\nAnswer: -5.3252798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280 and 270.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + 5*i - 4*i)*(2 - 2 - 2*i)*(183 - 55 + 97) in the form o*i**2 + d + h*i and give o.\nAnswer: -1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (2 - -2) + -1 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -3, 0, -9\/7, -181, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1590 and 3523110?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u - 3. Calculate i(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*n + 100 - 58 = 104 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**2\/3 - 1414189400*m\/3 + 124995728692022500\/3 = 0. What is m?\nAnswer: 176773675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -22. Let s = -12 + 27. What is the lowest common multiple of s and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**5\/20 + 5*z**4\/12 + 7*z**3\/6 + 2*z**2 + 2*z + 1. Let g be b(-3). Put g, 0, 3 in ascending order.\nAnswer: 0, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 15*y**2 - 9*y - 16. Let b be w(-15). Suppose 0 = -9*a + 10*a - b. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 130\/(-65)*(-2)\/(-4). Sort i, -5, 46, 0 in increasing order.\nAnswer: -5, i, 0, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4563 + -100415\/22. Is -1 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 5021063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81219*x - x**2 - 81219*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 - 2*v**2 - 2*v - 9. Let k(z) = -z**2 + 12*z - 24. Suppose -12 = 4*l, -9*b = -4*b + 5*l - 35. Let i be k(b). What is the tens digit of y(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and 0.21827.\nAnswer: -0.0152789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 3*v**3 + 7*v**3)*((1 + 2 - 2)*(-2*v**2 + 2*v**2 - 2*v**2) - v**2 + 0*v**2 - v**2).\nAnswer: -36*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1136*x**2 + 4*x + 329. Let i(p) = 6*p**2. What is y(i(n))?\nAnswer: 40896*n**4 + 24*n**2 + 329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.409 - -162.591. Let n = -56 + p. Let a = -106.9919 + n. What is a rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 17*y**2 - 18*y + 4. Let w be a(18). Let x(u) be the third derivative of -6*u**2 - 1\/2*u**w + 2*u**3 + 1\/20*u**5 + 0 + 0*u. Factor x(n).\nAnswer: 3*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 172 and 126572.\nAnswer: 5442596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 8 = 6*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-6 - 0) - (-1 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103456945?\nAnswer: 5, 1871, 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (16\/(-36)*15 + 6)*-6393?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2\/3))**(-29)*(a**1*a*a)**(-33))**47 assuming a is positive.\nAnswer: a**(-20774\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2707203 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine halves of a hour?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-6))\/(1\/(-30)). What is the units digit of m*((-12)\/(-10))\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 352523307\/261)\/(-2427895). Let t = h - -6\/485579. Let u = t + -20\/29. Which is the nearest to -2\/5? (a) 2\/5 (b) u (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/(-55) + (-36)\/(-10). Let h(u) be the third derivative of -3*u**2 + 0 + 0*u + 1\/6*u**f + 1\/24*u**4 + 0*u**5 + 1\/60*u**6. Give h(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6143*h + 6155*h - i + 109, -3*h = -10*i + 37 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -1018, -2676, -5096, -8278, -12222, -16928?\nAnswer: -22396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 172 - 1202\/7. Let n = 10 - -15. Suppose -5*m = 5*z - n, -2*m - 5 = -5*z - 3*m. Which is bigger: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 11:14 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 a factor of 664058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 8 = -5*h, -2 = h - 2*h. Let y(j) = -7*j**2 - j. Calculate y(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from {k: 1, w: 1, b: 1, e: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 9*x**2 + 2*x - 4. Let l(z) = 27*z**2 - 5. Let s(t) = -t + 1. Let p(b) = l(b) - 6*s(b). Let c(g) = 3*p(g) - 8*w(g). Give c(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -102542 and -2108 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 4093 = 22429. Is 11\/(-77)*7 + 6*g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 86, 2 in descending order.\nAnswer: 86, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Let s = 44 + -41. Is (-18)\/(-4)*r\/s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -9*c + 45. Let b(i) = -i + 4. What is 5*b(q) - h(q)?\nAnswer: 4*q - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 26*a. Let h(n) = -742675*n. Give h(q(s)).\nAnswer: -19309550*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 6*b - 17. Let c = 1 - -6. Let u be j(c). What is the tens digit of u\/((-4)\/6 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3987 + 3986.7. Which is the biggest value? (a) 0.84 (b) 3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + 8. What are the prime factors of c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1659032.26*-2.\nAnswer: 3318064.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1718 = -3*w, -11*w + 13*w - 2*n - 1142 = 0. Does 52 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2686 by -1654.\nAnswer: -1343\/827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -20379.\nAnswer: -2\/20379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.6 - -0.4. Suppose 5*q = -2*r - 32, 3*r + 12 = -3*q - 9. Let u = -8 - q. Which is the smallest value? (a) d (b) 0 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/8*-1 - 567\/(-252). Suppose -4*r = w*o - 710 - 412, -o - 3*r = -562. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 1:14 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -313486.\nAnswer: -313486.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 + -27. Let z(l) = -2*l**2 + 38*l + 38. Let s be z(20). Let f be (s + 12)\/(28\/14). Calculate the greatest common factor of f and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 6 + 18. Let q(z) = 2*z + 9 - 10 - 3*z. What is the tens digit of q(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -21, 2, 3, -4 in decreasing order.\nAnswer: 47, 3, 2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 801 and 187227?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152 and 57?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175864?\nAnswer: 2, 13, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 218? (a) -3\/2 (b) 3 (c) -0.5 (d) -6\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -77640?\nAnswer: 77640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -278 != -272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 10:26 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -829.628.\nAnswer: 829.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 375\/(0 + (-3)\/1560). Round h to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 7:28 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**5\/60 + 20*y**2. Let f(x) = 4*x + 6. Calculate f(r(d)).\nAnswer: 4*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7\/(-10))\/(29*(-68)\/(-14790)))\/(6\/(-32)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 3*c - 3*c)*(-333 + 333 + 5*c**2) + (0*c + c + c)*(4*c**2 - 5*c**2 + 3*c**2) + 2*c**3 + c**3 - c**3 as n*c**3 + g + k*c + f*c**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3699 + 3703. Suppose -3*v + 79 = 2*o - 0*o, -5*o - 3*v = -211. Suppose -2*l - o = -y*l. What is the lowest common multiple of 16 and l?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b + 0*b + 3*y = -8*b - 36, 7*b + 59 = 6*b - 4*y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 53827.\nAnswer: 21\/53827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f**3 - 1. Suppose -o + w - 4 = -3*w, o - 3*w = -3. Suppose -4*s + s = o. Suppose 4*q = -s*a - 2*a + 14, -20 = 5*q - 5*a. What is t(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -69376704 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 257\/166208 or 1?\nAnswer: 257\/166208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1 + (7 - 4 + 2)*(-2 + 2 - 2))*(9 - 3 + 5 - 3*k).\nAnswer: 33*k - 121","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/6 (b) -1\/5 (c) -153 (d) 6655\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 14456*j**2 + j + 14502*j**2.\nAnswer: 46*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(9\/5)*z*z\/(z\/(z\/(z\/(z\/(z\/z**(1\/43)))*z))))\/((z*z*(z\/((z\/z**(-24))\/z))\/z)\/z*z**4*z))**(4\/5) assuming z is positive.\nAnswer: z**(17048\/1075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86090 + 33.\nAnswer: -86057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 * -6.8.\nAnswer: 210.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 608 divide 1181344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 + (-10)\/(-4). Suppose -316*y + 132*y + 123 = -143*y. Factor -1\/8*m**y + 9\/8 - 5\/8*m**d - 3\/8*m.\nAnswer: -(m - 1)*(m + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001967 rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*k - 275*k - 6851 - 4981 = 0 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281.6129 decades to years.\nAnswer: 2816.129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 196907361224 and 0.09?\nAnswer: 196907361223.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*h**3 + 47*h**3 + 7 + 57*h**3 + 23*h**3 + 3*h**2 - 3 in the form v*h**2 + o*h**3 + q*h + l and give o.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 12 = 5*j, 40 = -3*j + 3*t + 34 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4512*p + 27066. What is c(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03960013 rounded to three decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*v**3 + 139*v**3 - 266*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*((2*sqrt(121)*5 - sqrt(121))\/(-5*sqrt(11)*1))**2.\nAnswer: 2673\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 10 = -133*v + 131*v, 5*c + 5 = v. Let w(m) = -m**3 - 6*m**2 + 7*m + 5. Let x be w(-7). Suppose x*q - 2*q - 1587 = c. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + -19. Let v = b + 104. Let k = -30 + v. Calculate the greatest common divisor of 42 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10602046 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7710)\/(-4626)*5*-3?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*s**2 - 102*s**2 + 47*s**2 as q*s**2 + k*s + c and give q.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*a*f**2*g - 3*a*g - 2*f**2 - 28*f*g wrt a.\nAnswer: 12*f**2*g - 3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 77155?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/(-240)*8)\/(3\/606 + 0). Suppose 5*b + 245 - 650 = 5*l, 3*l = -4*b - 250. Let c = l + j. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5762 - -4684. Which is the third biggest value? (a) -1 (b) u (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(2*4\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -1\/7*z**4 - 59 + 0*z - 10\/21*z**3 - 2\/7*z**2. Factor c(y).\nAnswer: -2*y*(y + 2)*(2*y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208094 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 5*a - 1615, 7*a = 12*a - 15. What is the highest common divisor of u and 12200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 8:58 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -13*o. Let c(g) = -3*g**2 - 4*g**2 + 4*g**2 + 4*g**2. Calculate x(c(p)).\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981592839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0075701 rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319767449.\nAnswer: 31, 10315079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 + -49. Suppose -21*b + 18*b = -v. What is the highest common divisor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 254046 = 3*n + 6*w, -2*n + 3*w + 169367 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -13*b**3 - 7*b + 10. Let t(v) = 6*v**3 + 3*v - 5. Let f = 1 - 4. Let a(q) = f*y(q) - 7*t(q). What is the derivative of a(g) wrt g?\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -303, -454, -605, -756, -907?\nAnswer: -1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-3 + 27))\/((-2)\/(-16)). Let d = -1 + 1.03. What is the third biggest value in 8, d, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + d + 3. Let t(p) be the second derivative of 1\/6*p**3 + 2*p**2 + 0 + 1\/20*p**5 + 0*p**4 + 5*p. What is 3*t(q) - 4*x(q)?\nAnswer: -q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11 and 1.141.\nAnswer: -9.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/2424 and 11\/1212.\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3.48828 times 0.2\nAnswer: 0.697656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2060098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -8\/21*o**3 - 6 + 25*o - 15\/7*o**2 - 1\/42*o**4. Factor w(t).\nAnswer: -2*(t + 3)*(t + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*u = 200, -19*d + 4*u = -16*d - 143. Let w(n) = -n**3 - 14*n**2 - 13*n + 7. Let q be w(-13). Calculate the greatest common factor of q and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.59 + 1.39. Let u = d + 14.2. Suppose w - 1 = 5*m, 4*w - 2*w - 2 = -5*m. Which is the third biggest value? (a) w (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1, 1, 3, 1236?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 247*v + 34. Let a(g) = 740*g + 104. Let p(h) = 5*a(h) - 16*d(h). Differentiate p(y) with respect to y.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -27, -1, 4\/3, -2\/103, 4, -4?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - 56*a**2 - 2*a - 20. Calculate the remainder when 553 is divided by l(-28).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, o: 4, e: 2, p: 3, c: 1}. Give prob of sequence oo.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1973551?\nAnswer: 1213, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5*j + j + 277, 2*n = -5*j + 539. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.69 + -0.65. Let s = 0.1 + -0.08. Let n = s - a. Put 0.2, n, -2 in increasing order.\nAnswer: -2, n, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19543651 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -77 + 97 + (6 - 1). Let c(h) = 25 - r + 12*h + 14*h - 21*h. Let k(q) = 11*q + 1. What is -5*c(l) + 2*k(l)?\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttmtotmqqmsqmt. Give prob of sequence qm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -4874951190?\nAnswer: 4874951190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1071334?\nAnswer: 2, 11, 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 24 + 350*a**3 - 318*a**3 + 45.\nAnswer: 32*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121414296 divided by 2.\nAnswer: -60707148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p**4 - 135*p**3 + 330*p**2 - 340*p + 120 = 0. What is p?\nAnswer: 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*d - 72*d - 2*t - 1, 55 = -19*d + 24*d - 5*t for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0346 (b) 90 (c) -2 (d) 24\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 99803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -64 (b) -3 (c) -5 (d) -0.08 (e) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-10))\/((-6)\/(-4))*(-16)\/14016*-12.\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 360 - 357. Suppose -2*d = 3*w - 386, -u*d + 4*w - 9*w = -578. Calculate the highest common divisor of 490 and d.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*(sqrt(325) + sqrt(325)*-2) + 1*(5 + sqrt(325) + -2 - sqrt(325) - sqrt(325)) + -1)**2*2*-3.\nAnswer: -48846 + 1200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*2*sqrt(7) - (sqrt(21)\/sqrt(3) + -3 - sqrt(7))*-1.\nAnswer: -3 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102824 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/22 and 21\/3538.\nAnswer: 38918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1305 and 991545?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1520 * -0.8\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + -15. Let u = -22 - q. Factor -6*n + 6*n**3 + 6*n**2 + 6*n + 2*n**u + 2*n.\nAnswer: 2*n*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h - 2. Suppose 0 = 5*t + 11 + 9. Let a = 121 - 118. What is the lowest common multiple of z(t) and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 + 3*h - 99. Let y = -408 - -395. Let l be f(y). Calculate the greatest common factor of l and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 9, 5, 2.\nAnswer: 2, 5, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112 - 112 - 30*f)*(2 - 2*f - 2).\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -0.6, 108, 3, -1\/4?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53092 and 30527900.\nAnswer: 30527900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 2*x - 4*y, -5*x - 4*y - y + 55 = 0. Suppose l = 5*b + x, 3*l + 0*l + b - 93 = 0. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 10 = 0, -4*z - 15 = -i + z. Let q = -2 - i. Calculate the remainder when 29 - 4\/16*0 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -63\nAnswer: -5\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 4. Let w be r(-6). Let n(b) = b + 3. Let m be n(3). What is the tens digit of 33\/m*(w - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4735?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/28)\/((-6)\/(-344332)). Let t = d - 6125\/3. Calculate the common denominator of 83\/16 and t.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -23, -52, -103, -182, -295?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 35 + 5. Suppose 0 = -5*x, -5*x + 35 = 3*b + 2*b + 5. Calculate the least common multiple of 2 and 4\/b + 1055\/a + -7.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 13. Let j be n(21). Let v be (-2)\/(-4)*0 - -58. Suppose u = j - 5, 4*u = -2*i + v. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 12, 2*x - j - j - 6 = 0. Let u be 5\/1 - (-2)\/x. Suppose u*y - 720 = -2*y. Calculate the greatest common factor of 18 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 3*l - 33 = -13*s, 0 = -l + 6. Solve 3*p = -4*f - 8, 0 = s*p + 3*f - 7*f - 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - j. Let g(a) = -2*a**2 + 3*a. Let y(s) = 5*c(s) + 3*g(s). What is the units digit of y(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -33. Let g = 12 + u. Let n be (16 + -13)*(-1)\/g. What is the smallest value in n, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 23*t - 5. Let s be 2\/3 - -4*5\/6. Suppose 3*i - s*v - 41 = 0, 2*i - 6*i - v = -23. Is b(i) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/25546 and 43\/4?\nAnswer: 51092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/7)*r*r)**(-1\/41) assuming r is positive.\nAnswer: r**(-17\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/1)\/((-10)\/(-5)). Suppose g = -7*d + 48 + 1. Suppose -5*j - d = -22. What is the highest common divisor of 33 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-493)\/(-58)*(-4)\/(-2). Let t be -3*(1 + 40\/(-6)). Let q = t - i. Is q < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 24 = -3*d, 5*d - x - 65 = 4*x. Suppose 78 = -d*h + 18. Let c be (-10)\/4*1\/5*h. Which is smaller: -0.14 or c?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39523365713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8748.776 kilograms to micrograms.\nAnswer: 8748776000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2129, -2118, -2113, -2114, -2121, -2134, -2153?\n\"Answer: -3*z**2 + 20*z - 2146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 6 + 3. Let n(l) = -5*l - 3. Suppose -12 = 3*k + 12. Let t(o) = 14*o + 8. Let s(i) = j*t(i) + k*n(i). Let z(q) = q. What is z(s(u))?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3*k = -14, 6*k - 30 = 5*g + k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2744299 a multiple of 547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -5*l - 0*l. Let j be -11 + 292\/l - (-4)\/10. Solve -5*u = 4*c + 25, -4*c - 9 - 7 = -j*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/3)*z**(-2\/23))**(-34) assuming z is positive.\nAnswer: z**(-3706\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, o: 3, b: 8}. What is prob of picking 2 b?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + 3*a - 3*a)*(-2 + 0 + 4) + a + 0*a - 2*a + 5*a - 2*a - 18990 + 18994 in the form i + j*a and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**4 - 11*h**3 + 3*h**2 - 11*h - 140. Let i(f) = f**4 - 6*f**3 + f**2 - 6*f - 70. Let g(o) = -11*i(o) + 6*y(o). Differentiate g(m) wrt m.\nAnswer: 4*m**3 + 14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-15)*s)\/(s*s*s**(-2\/65)\/s))**3)**(-8\/15) assuming s is positive.\nAnswer: s**(7784\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3058 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -370*l**2*q**5 - l**2*q**3 - 4*l**2*q + 2*l*q + 6 wrt q?\nAnswer: -7400*l**2*q**3 - 6*l**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 1010?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 124\/15 - 928\/105. What is the fourth smallest value in l, -3, -0.1, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*l + 24*l**2 - 1 + 1 + 92*l - 46*l.\nAnswer: 24*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 75 = 3*v, v + 294*d + 65 = 291*d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(40\/(-30)))\/((-4)\/2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 24, -185, 23, -3, -4 in descending order.\nAnswer: 24, 23, -2, -3, -4, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -0.34 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3042 (base 5) in base 16?\nAnswer: 18d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5 + 80*b**4\/7 + 66*b**3\/7 - 268*b**2\/7 + 88*b\/7 + 48\/7 = 0. Calculate b.\nAnswer: -2, -2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2695\/(-410) + (-2 - -28)*83\/332?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/((-23)\/(-414)) - ((-316)\/12 + 29).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 24*b**2 - 2*b - 168. Is i(9) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -104*h - 87. Determine m(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6*x + 2*c = -1, 3*c + 21 = -2*x. Let t = 12.4 + -11. Let j = 1.1 - t. Sort 1, x, j in decreasing order.\nAnswer: 1, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17275 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 42*a**2 + 118*a + 105. Let u be j(-39). Calculate the greatest common divisor of u and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -206592, -202071, -194536, -183987?\n\"Answer: 1507*d**2 - 208099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iooi when four letters picked without replacement from bggigfibigboogggi.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -343 (b) 11 (c) 0 (d) -0.5 (e) 19\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -241*f**4\/2 - 895*f**3\/3 - 5756*f**2. What is the first derivative of k(g) wrt g?\nAnswer: -2892","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5637907153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 62)\/(6\/18*-3). Let a = -61 - g. Suppose x = -3*c + 4*c, a = 5*x + 4*c - 45. What is the nearest to 0.1 in -0.2, x, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 1\/110*g**6 - 33*g**2 + 0 + 1\/44*g**4 + 0*g + 0*g**7 + 0*g**3 - 4\/165*g**5 - 1\/1848*g**8. Factor j(u).\nAnswer: -2*u*(u - 1)**3*(u + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**5 + 3*v**5 + 0*v**5)*(2 - 3 + 2)*(-3 - 1 + 2).\nAnswer: -4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0 + 0)*(2*z - 5*z + 2*z)*(9 - 8 + 5)*(31 - 2*z + 4 + 4*z)*(-4 + 3 + 2).\nAnswer: 24*z**3 + 420*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110.3 + 110. What is the second smallest value in -0.2, 1, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48\/20 + (-6)\/(-10). Suppose -5 = -t*h + u + 4, 5*h + 5*u - 15 = 0. Factor -4*x**2 + 12*x + 22*x**2 + 6 + 3*x**4 + 12*x**h - 3.\nAnswer: 3*(x + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*h**5 + 0 + 0)*(-3 + 3 + 2) + (-h**4 + h**4 + 4*h**4)*(10 - 6*h - 10))*(23 - 28 - 30).\nAnswer: 700*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -273*w**3 - 585 - 924*w**2 - 2560*w + 2*w**4 + 183*w**3 - 1143.\nAnswer: 2*(w - 54)*(w + 1)*(w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15827999 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1235122882 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3746, -7491, -11236, -14981, -18726, -22471?\n\"Answer: -3745*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.018 times 4543\nAnswer: -81.774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.324428 to three decimal places.\nAnswer: 0.324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/14 + (-1634)\/(-266)*(1 - 2). Sort 26, 3, 2, c in descending order.\nAnswer: 26, 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -10. Suppose -23 = -4*w - 3*p, r + 1 = 4*p. Solve 2*l = w*l - 2*s - 2, -l + 18 = -5*s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2295\/20)\/(-17))\/((-81)\/(-38016)*-22).\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(425) - (sqrt(17) + 0 + sqrt(17) + -5)) + 0.\nAnswer: 5 + 23*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 47aa (base 12) to base 14\nAnswer: 2d10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8\/117 + 524\/819. Which is the nearest to 2\/15? (a) q (b) -3 (c) -4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 389 + -616. Let z = i - -247. What is the highest common factor of z and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/7 (b) 2 (c) -0.1 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 41. Is 33 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvl when three letters picked without replacement from {l: 1, h: 1, v: 1, w: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + -2020?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/3)*a*a*a**(-7)\/a)\/(a\/(a*a**(5\/2)*a*a)*a**(1\/5)))\/((a**1)**(5\/16)*(a*a\/a**(-1))**(5\/6)) assuming a is positive.\nAnswer: a**(-1003\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/19 + 106*i\/19 - 204\/19 = 0 for i.\nAnswer: 2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 2:27 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 930 = -8*r. Let j = r - -319. What is the highest common divisor of 41 and j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a7b91 - 29?\nAnswer: 4a7b67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*h = -2*h - 327086, -654181 = 4*u + 5*h. Let a be ((-24)\/(-10))\/(525\/(-10181500)). Let n = u - a. What is n rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -710 + 741. Solve -u = -30 + b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14391)\/(-4524))\/(-41)*(-1)\/((-6)\/(-8))\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13180458 and 237248244?\nAnswer: 237248244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 0*d**4 + 85 - 89\/5*d**5 + 0*d**3 + 0*d**2 + 76*d. Find the first derivative of g(j) wrt j.\nAnswer: -356*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o - 1116 + 3096 = -150*o for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 - -3542?\nAnswer: 3565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-627 - -644) + (-1 - 4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3885794334.\nAnswer: 2, 3, 215877463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -5, 2, -1, -3, 1.\nAnswer: -20, -5, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(21\/18 - 1). Let a(b) = -22*b - 4. Let m be a(-4). Suppose -5*s = -4*o + 127 + 41, m = 2*o + 4*s. Calculate the greatest common factor of l and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l - 4. Suppose 0 = 3*b - 17*m + 14*m, -4*m + 4 = -5*b. What is x(b)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/80 and 73\/3330.\nAnswer: 26640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174770?\nAnswer: 2, 5, 17477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -362 - -362.3. Let n(k) = k. Let s be n(1). What is the nearest to s in w, 4\/7, -5\/2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29.5 - -29. Which is the biggest value? (a) 3 (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 5*j + 7, -2867*j = i - 2872*j + 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-588)\/(-108) + 4\/(8\/(-6)) and 71\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 1988?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3) - 124334\/21. Let o = -3062 - u. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 11:13 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - o - 1. Let f(h) = -8*h**3 + 4*h + 7. What is -f(k) - 4*x(k)?\nAnswer: 4*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244219*y**3 - 122161*y**3 - 121506*y**3.\nAnswer: 552*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a millennium in years?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 1:22 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/28 of a week?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -23*h - 111. Let a(r) = 8*r + 39. Let v(n) = 17*a(n) + 6*d(n). Let t(x) = 4*x. Calculate t(v(o)).\nAnswer: -8*o - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -1562*z - 18770. Determine v(-12).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13781601*k**4 - 62*k + 9848 wrt k.\nAnswer: -165379212*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3)\/((-104)\/39*5\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -37. What is the tens digit of -1 - (-114 + i\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = i - 6. What is the remainder when i is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*t**5 + 44*t**4 - 555677*t**3 - 140*t**2 + 31*t - 1296 wrt t.\nAnswer: -180*t**2 + 1056*t - 3334062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.12 - -16. Let s = u + -2.88. What is the nearest to 1\/3 in -2, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7562 and 230660?\nAnswer: 45901340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 1 - 3\/(-6). Suppose -5*i = -5 - 5. Suppose 0 = -2*m - 4 - i. Which is greater: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 49 = -13. Suppose 0 = i*g - 113 - 1066. Calculate the remainder when g is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 41*f = -42*f - 6, -5*r - 5*f + 40 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1608 (base 10) to base 3.\nAnswer: -2012120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c + 3*d + 2758 + 2768 = 5316, 3*c + 44 = -5*d for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**4 - 55*x**3 + 165*x**2 - 185*x + 70 = 0. Calculate x.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(156) + sqrt(156))\/sqrt(12) + sqrt(91)\/sqrt(28).\nAnswer: -7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 216754 (b) -2\/99 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -171.64388 to 1 decimal place.\nAnswer: -171.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -506592581, -506592579, -506592577, -506592575?\n\"Answer: 2*j - 506592583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -10\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41233684 to the power of 1\/2, to the nearest integer?\nAnswer: 6421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1504, 1, 10, -1.\nAnswer: -1, 1, 10, 1504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*b + 8*q + 128, -14*b = -16*b - 5*q - 77 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(1539) - (1 + sqrt(1539))*4) + sqrt(1539) + (sqrt(1539) - (0 + sqrt(1539))) + -2))**2.\nAnswer: 1944*sqrt(19) + 55728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, -4, 4915, 12 in descending order.\nAnswer: 4915, 12, -4, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*d**4 - 672*d**3 + 3332*d**2 - 2712*d + 224 = 0.\nAnswer: -7, 4\/43, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 8 = 0, 4*o = 4*b - 70 + 430. Let n = b + 278. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 + 2585 = -f. Let h = 2082 - f. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5043295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from {g: 2, r: 1, v: 1, f: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -210 + 98. Let o = 116 + y. Suppose -1206 = -o*n + 766. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -135 (b) -1 (c) -3\/4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 57. Let a(g) = g + 1. Let n be a(-2). Let y = n + o. Sort y, -5, 3 in increasing order.\nAnswer: -5, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -153.8 + 153.761. Let r = -0.82 + 0.781. Let b = f - r. Put 5\/3, -0.3, b in ascending order.\nAnswer: -0.3, b, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-28) - (-31)\/7. Let k(h) = 9*h**2 + 3*h**2 - 10*h**2 - o. Suppose 7*g = 2*g + 25. Let n(q) = q**2 - 2. What is g*n(j) - 2*k(j)?\nAnswer: j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + n + 3. Let o be s(3). Let y be (o\/(-2))\/((-12)\/(-8)). Which is the third smallest value? (a) 0.02 (b) 2\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywu when three letters picked without replacement from {u: 1, a: 7, y: 4, h: 2, w: 1, d: 3}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -867*j**2*v + 490*j**2 wrt v.\nAnswer: -867*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(190)\/sqrt(10))**2 + (sqrt(19) + (sqrt(19) - -5*sqrt(19)) + -4)**2.\nAnswer: -56*sqrt(19) + 965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 73*w**2 - 553*w + 740. What is o(6)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3068, 6266, 9732, 13604, 18020, 23118, 29036?\nAnswer: 35912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.885904 kilometers in meters?\nAnswer: 5885.904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**2\/7 + 136539*j + 2867292\/7 = 0.\nAnswer: -318588, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llldllldlldl?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1159 + -1152)*((23 - 24) + -3*3)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3660, 3614, 3544, 3444, 3308, 3130, 2904?\nAnswer: 2624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7)**(-2\/17) assuming u is positive.\nAnswer: u**(-14\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 936\/(-16)*(-10)\/(-45)*3\/6?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4744965 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v - 3. Let p be j(-3). Suppose -5*r + 7 = -b - p, 0 = -2*r + 5*b - 4. Suppose 28 = 2*z - 2*o, -r*z + 48 = -0*o - 5*o. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (8 + -5 + -2) - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -1 - y + 3 - 4 + 5 - 2*y. Let k(i) = -3*i + 4. Let c be (-2)\/(2 - 12\/5). Give c*d(l) - 4*k(l).\nAnswer: -3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**4\/24 + i**3\/6 - 4*i**2. Calculate t(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (46 + 16\/(-4))*4. Let u be ((-11)\/33 - (-10)\/12)*t. What is the least common multiple of 4\/(-14) - (-612)\/u and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 17, -5, 0.3, -108, -7\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8\/9)*t**(-3))\/(t**(-1\/11)\/t**(-9\/11)) assuming t is positive.\nAnswer: t**(-457\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -805 divided by -3?\nAnswer: 805\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 8*i**2 - 8*i - 4. Let d be w(-7). Suppose -d*m - 4 = -16. Is m <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 54*c**2 - 15\/4*c**3 - 384 - 144*c = 0.\nAnswer: -8\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 (base 7) in base 8?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7216*n - 165. Let b(p) = 451*p + 10. Determine 66*b(v) + 4*q(v).\nAnswer: 902*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 7*a**2 + a + 10. List the prime factors of n(-8).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 456587 - -5790. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhvvh. Give prob of picking 3 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(114\/(-4)) + (-93300)\/(-95)?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 111001001100?\nAnswer: 111001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-3))\/((-6)\/81). Let k = o - 10. Let x(w) = 2*w + 1. Calculate x(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 481*o**5 - 5*o**4 + 5059*o**2.\nAnswer: 28860*o**2 - 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 6*a - 9*a - 15, 0 = -3*a - 3. Let r be 2*4 - 1 - 2. Let w = d + r. Solve w = s - 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 647.7 - 647.6999117. Round r to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 2*l + 1, -10*p + 9*p + 17 = -4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0667 to three dps.\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express s**3 + 9*s**2 - 2795*s - s**2 + 3*s**2 + 2845*s in the form a*s + r*s**2 + c*s**3 + k and give a.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 26*g**3 - 16*g**2 - 36*g - 6. Determine z(-2).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + y**2 + y. Let v(l) = 4*l**3 + 3*l - 2. What is -5*c(a) + v(a)?\nAnswer: -a**3 - 5*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3456) + (1*sqrt(3456) - sqrt(3456) - sqrt(3456)))*5)\/(-3*(1*sqrt(392) + sqrt(392))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -55*y**2 - 2*y. Let o(v) = -2*v. What is g(o(t))?\nAnswer: -220*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 0*w**2 + w**2 + (3*w - 2 + 2)*(2*w + 2*w - 6*w))*(4*w**2 - w**2 - 2*w**2)*(0 - 5 + 0).\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - q - 60. Let f(u) = -u + 13. Let k be f(9). Let y be 12\/18*30\/k. Solve -q = -y*w + w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*l**2 + 2*l**2 - 4*l**2 - 19*l + 52*l - l**2 to b*l + o*l**2 + z and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 5*x + x)*(0*x + 2*x**4 + 0*x + (-4 + 4 + 2)*(4*x**4 - 4*x**4 + 3*x**4)) + x**5 + 0*x**4 + 0*x**4.\nAnswer: 9*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(144)*-4)\/sqrt(3) - (sqrt(48) + (sqrt(432) + 1 + sqrt(432) - sqrt(432) - sqrt(432)) + sqrt(432)))**2*-6*3.\nAnswer: -55314 - 1152*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93049849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Suppose 7 + 19 = m*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -13 - 47\/2*l**2 + 0*l + 0*l**4 - 2\/5*l**5 + 0*l**3 + 7\/6*l**6. Find the second derivative of t(q) wrt q.\nAnswer: 140*q**3 - 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v - 51. Let j be d(-17). Suppose 3*t = -3 - j. Let q be (t + (-28)\/(-12))\/(2\/3). Solve 2*w - 4 = x, w - 2 = -q*x + 3*x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1923180 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 12*g + 266. Let w(o) = -o**2 - 19*o - 532. Let d(r) = 5*v(r) + 2*w(r). Differentiate d(c) with respect to c.\nAnswer: 6*c + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-6)\/32*1)\/(3705\/(-260)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 76 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -15*j**4 + 40*j**3 + 505*j**2 - 350*j = 0?\nAnswer: -5, 0, 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*b**3*w*x + 275*b**3*x + 35*b**2*w - 2*b*w*x - 22888*b*w - 3*b*x - b - 2*w*x wrt b.\nAnswer: -78*b*w*x + 1650*b*x + 70*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -6) + (6 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyvyyyyyyvyyyyyyyy. What is prob of picking 2 y and 1 v?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 9 = 3. Let h(c) = -g + 0 + 2 + 42*c**2 + 2*c + 0. Is h(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31258441 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2052) - 2*((sqrt(2052)*-2 - sqrt(2052)) + sqrt(2052)))\/(sqrt(21)\/(sqrt(252)*-2)).\nAnswer: -360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 3113 = 71*c - 943 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -715 - 1634 = -9*y. Suppose 0 = 2*p + 4*z - 122, 2*p + z + y = 7*p. Let f = p + 35. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 123*j**2\/4 + 4899*j\/8 + 4653\/8.\nAnswer: 3*(j + 1)*(82*j + 1551)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -376298952 - 0.04.\nAnswer: -376298952.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159 a factor of 560819781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = q + 12, 4 = -o + 2 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277696205?\nAnswer: 5, 1523, 36467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -21. Let j = 14 - c. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (744900\/161395)\/((-2)\/13)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -246724 divided by 3?\nAnswer: -246724\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3369 is divided by 1576.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7030 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 1079*l**9\/504 - 649*l**5\/60 + l**3\/3 + 2*l**2 + 996. What is the third derivative of x(w) wrt w?\nAnswer: 129480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/11, 423, 2, 0.3?\nAnswer: 423","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 6:28 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 12:03 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 3*h + 9. Is 88 + (h - (-8)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 12\/8*2. List the prime factors of 22 + -1*4 + d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/3 and (0\/(-1) - (-2)\/(-168))\/(4326\/7828)?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.085 (c) -5 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01014010104 to six dps.\nAnswer: 0.01014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2458*w**2 - 3*w + 3*w + 102 - 138.\nAnswer: 2458*w**2 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-one fifths of a millennium?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 364755397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 733.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103818 = -59*g + 72*g. Is 157 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1560, 14 in ascending order.\nAnswer: -1560, -3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 86041644 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 38, -2284 in decreasing order.\nAnswer: 38, 2, -2284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4)*5 + 1)**2.\nAnswer: 10*sqrt(19) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 224135437 to the power of 1\/2, to the nearest integer?\nAnswer: 14971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2135539570?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 - k + 5. Let y be d(0). Let i be (0 - (1 + -2) - y) + 0. Let u = 0 + 0. Sort -3, i, u in decreasing order.\nAnswer: u, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 58*s - 51618 = 54*s, -s - 103281 = -4*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12564.973 to the nearest one hundred.\nAnswer: -12600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*d + 9, 3*q = -2*q + 5. Let r be (-2 + 36028\/8)*(-4)\/d. Suppose -8*p - 330 = -r. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -875*d + 1440 + 3934 = -4884 + 1508 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 153 + -152. Is d greater than -2\/95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + 0 - sqrt(5))*6.\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 308, -59.5, -3 in decreasing order.\nAnswer: 308, 3\/4, -3, -59.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.2 + -13. Let c = -2.4 + 2. What is the biggest value in c, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 3*h. Let d be b(-7). Is d bigger than -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 d when four letters picked without replacement from xkmdkxmkkkkmkmk?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/11? (a) -17 (b) -159 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 154138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -8 - (-9 + -2)) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62816.47 millilitres to litres.\nAnswer: 62.81647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 4)*(4 - 3)\/1. Is n\/(25\/3173) - (-4)\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnnnxn. What is prob of picking 2 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (6 + (8 - 11) - 10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssszsdiwqwqqs. What is prob of picking 1 z, 1 s, and 1 q?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8416961, 33667847, 75752661, 134671409, 210424097, 303010731?\n\"Answer: s**3 + 8416958*s**2 + 5*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 46\/11, -3.2415 in increasing order.\nAnswer: -3.2415, -2\/11, 46\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1028*r - 32087 - 28135 - 430 = 0 for r.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 950 (base 12) in base 9?\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15838813.\nAnswer: 15838813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6903 less than -0.2?\nAnswer: -6903.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 10) to base 14\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4084 a factor of 3955313160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**4\/6 - 70*k. Let f(a) = -3*a**2 + 32*a + 31. Let c(j) = -f(j) - 2*w(j). Find q such that c(q) = 0.\nAnswer: -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from vkfvufnl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from gocgogooogboo?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 472 divide 36816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9517 = 12*x - 6395. Does 20 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(8\/7)*j**(-1\/23)*j)**(2\/13)*((j**(2\/11))**(-7\/4))**(-17) assuming j is positive.\nAnswer: j**(254831\/46046)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -253\/654053?\nAnswer: -253\/654053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -5) + 8 + -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f - 9 + 97*f + 9.\nAnswer: 85*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(17) - (sqrt(17) - (sqrt(17) - sqrt(136)\/(sqrt(64)\/sqrt(8))))) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-105)\/6*(-16)\/20. Suppose 4*b + 3*m = -1, b + m - p = 5*m. Suppose 6*y + 62 - 74 = 0. Solve b*w = 4*w + y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2173045.8 months?\nAnswer: 1810.8715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -7. Suppose 3*r = 6, -f - 2*r + 2 = -w*r. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 minus -77332810?\nAnswer: 77332751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 187*d + 20603. Calculate g(-97).\nAnswer: -6945","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -52 + -3a186?\nAnswer: -3a228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 29.1. Let w = 28.7 - p. Round w to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 55*g - 10*g)*(3 - 8*g - 4*g - 1).\nAnswer: -552*g**2 + 92*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/32)\/(2*(-1)\/28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 10:10 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f. Let o(m) = -461*m**2. Determine s(o(d)).\nAnswer: 3227*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/6, -7, 0.004, 0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (sqrt(17) + 1 + sqrt(17))**2).\nAnswer: -296 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*1*(-3*sqrt(50) - (-1 + 0 + sqrt(2) + sqrt(2) + sqrt(2))))**2 + 5.\nAnswer: -144*sqrt(2) + 2602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 10 = 4*h + h, -3*q + 4*h = -106. Let t be ((-27)\/5)\/((-9)\/q). Suppose -5*x + 194 = -4*u, 2 - t = -4*u. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.01, -0.2, -4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-854)\/1656 + 4\/18. Let u = m - -1\/23. Let g = 172 + -177. What is the smallest value in u, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36 - -3?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 66 + (-3 - -8 - (6 + 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 119, 1 in descending order.\nAnswer: 119, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9974 is divided by 256.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 762*(6\/(-4) - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 11) to base 4\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -79086.68?\nAnswer: 79087.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**3 + 2*y - 2*y)*(6*y - 5*y + 3*y) + 603*y**4 + 142*y**4 + 269*y**4 in the form f*y**4 + s*y + w + x*y**3 + p*y**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52340.\nAnswer: 2, 5, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -554 + 2*m + 3*m**2 - 2*m**2 + 3*m + 557. What is u(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 30 = -0*y. Suppose 4*m = 2*m + y. Suppose 5*v + m = 5*z, -2*v - 4*z + 10 = -3*z. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9634 - 1.5634. Is o equal to -1\/893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2979, -2192, -1405, -618?\n\"Answer: 787*o - 3766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-2)*(-5 + 114\/30). Sort -7, p, -2\/7, -1.1 in ascending order.\nAnswer: -7, -1.1, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 + w**2 + w**2 + (-2*w - 5*w + 3*w)*(7*w - 2*w - 3*w) - 4*w**2 + 4*w**2 + 2*w**2 + (-2*w - 3*w + 3*w)*(-9*w + 31*w + 177*w)*(-5 + 1 + 3).\nAnswer: 391*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + -87 + 77?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -0.118 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.691 + 0.109. Which is bigger: r or -18?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -193 + 368. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + 59. What is the highest common divisor of 58 and u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0. Let i be k\/(-5) + (-71)\/(-5). Let s = i - 8. Solve -l = 2*l + s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 824 - 763. List the prime factors of w.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 8*l - 8. Let f = -4 - -10. Let a be r(f). Suppose -96 = -j + 2*m, 0 = -2*m + a*m + 4. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -5*t - 16, 7 - 45 + 33 = -5*q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*u + 2. Let y be 0*u\/(-6) - 0. Let a = y + 3. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-18)\/(-1) - (-2 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + y. Let l(d) = -46*d**3 - 4*d**2 - 46*d. Let h(j) = 4*i(j) - l(j). What is the second derivative of h(c) wrt c?\nAnswer: 276*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 118*z**2 - 56*z**2 - 60*z**2. Let r(o) = -10*o**2. Calculate r(f(b)).\nAnswer: -40*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20 - 231*q - 147 + 195 + 258 wrt q.\nAnswer: -231","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/152 and -13\/190?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, l: 4, o: 6}. What is prob of picking 2 e?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2579 rounded to the nearest 10?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*w + 24 = 0, 6*w - 33 = -4*n + w. Sort n, -8, 5 in descending order.\nAnswer: 5, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1262858 (base 14) to base 11\nAnswer: -4a9a812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 9:55 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 443 - -328. What is d rounded to the nearest ten?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.185 + 0.015. Let y = b - 18. Round y to 0 dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*d**3 + 73*d**3 + 64*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1380 and 122130.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -870*o - 81 - 107 + 188 as l + t*o and give t.\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 0*l + 4*l. Let j(a) = -1. Let r(t) be the third derivative of t**5\/30 - t**3\/3 + 3*t**2. Let b(q) = -2*j(q) + r(q). Give p(b(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -11463944.\nAnswer: -11463944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 434 and 11935?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 13*p - 20. Let f be r(-11). What is the units digit of (-139)\/(1 - (f + 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from ktktbbbbkkb.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4395.9 - 4396. Is 2359 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((4\/(-152))\/(69\/2760*40))?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -2*p**5\/5 + 130*p**3 - 21*p**2 + 22*p - 2575. Find the second derivative of m(q) wrt q.\nAnswer: -24*q**2 + 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 1:17 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 4*g + b + 72 - 0 - 4, 8*b - 2 = g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.94783 nanometers in kilometers?\nAnswer: 0.00000000007394783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3))**(-2\/33) assuming u is positive.\nAnswer: u**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, m: 1, h: 2, w: 1}. What is prob of sequence wqh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 = j, -4*d = -3*j - 0*d + 28. Suppose j*t - 7 = 1. Suppose -4*m + 1 + 7 = 0, 4*r - 20 = -t*m. Solve -6 = r*q - 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, m: 4, v: 2, z: 3, c: 1, f: 2}. What is prob of picking 1 z, 1 v, and 1 f?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/7, 0.07, -4\/5, -1.1 in descending order.\nAnswer: 0.07, -2\/7, -4\/5, -1, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321*3.\nAnswer: -963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132000 (base 6) to base 10.\nAnswer: 12096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 196955024.\nAnswer: 78782009.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38171519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b**3 - 17*b**2 + 8*b - 6. Let o(v) = 8*v**3 + 31*v**2 - 15*v + 13. Give 11*j(n) + 6*o(n).\nAnswer: 4*n**3 - n**2 - 2*n + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 3*b - 12, -747*p + 743*p - 3*b = -17 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.129 + -0.171. What is the nearest to y in 5, -4, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 3*s + 0 + 3\/2*s**2 + 1\/6*s**3. Find the first derivative of m(c) wrt c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -6\/7, 60, 0.6, -0.3, -5 in increasing order.\nAnswer: -5, -6\/7, -0.3, 2\/13, 0.6, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - 21 - (0 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/((-22)\/4 + 3 + 4). Suppose 0*w + 4*g - 1752 = -i*w, 3 = 3*g. List the prime factors of w.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = z - 1068 + 1089, 5*l + 52 = -3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**2 + 89*c + 3411. Calculate p(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 9:48 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 55143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -24?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 291 = -5*r - 133, -3*r + 456 = 3*t. Suppose 0 = -p + z - 5*z + 53, 4*p - 144 = z. Calculate the greatest common factor of p and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1204656*s - 602205*s - 602454*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 3)*(p - p - 3*p)*(8*p - 15 + 15)*(-p + p - 2*p) to o + w*p**3 + f*p**2 + c*p and give w.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 6 + 14 + 4*x**2 + 0 + 6*x. What is v(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4260 - 5599. Which is the biggest value? (a) 4 (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 - 0.6. Let b = 2.5 - 0.5. What is the second smallest value in 0.3, u, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (10 + -2) - (-191 - -196)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 7.2. Let g = -0.0236 + 0.8228. Let u = g + d. Round u to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121\/28 + 32\/7. Sort v, -53, -5, 1\/3 in ascending order.\nAnswer: -53, -5, v, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-6*-2*sqrt(448))**2*3 + 3)*6 + -2.\nAnswer: 2322466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -68*o - 81. Let t(c) = 205*c + 270. Let b(s) = -3*t(s) - 10*y(s). Let k(n) be the second derivative of -5*n**3\/6 + 2*n. What is k(b(w))?\nAnswer: -325*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-4) + (-33)\/12. Let r be (-35)\/(-14) - 1\/u. Solve -y + 1 = -r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 78188102?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8 + 182\/(-56) + 11. Let f(k) = 5*k**2 + 9*k + 2. Let y be f(-6). What is the greatest common divisor of m and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.46 (b) 1\/5 (c) -4 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzinzyl. Give prob of sequence yl.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -75 + 181*m**2 - 94*m**2 + 2*m - 86*m**2. Give j(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6895, 4 in descending order.\nAnswer: 4, -3, -6895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.182236l to millilitres.\nAnswer: 2182.236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -610.\nAnswer: 3050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 962 = 883*x - 72327 for x.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005865 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 618, 617, 616, 615, 614?\n\"Answer: -s + 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001101111 (base 2) to base 16.\nAnswer: 46f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 536 and 424?\nAnswer: 227264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from cccjjcccjjc.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, r: 3, c: 2, x: 1, f: 3}. Give prob of picking 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 5*z + 2. Let p = -17 + 12. Let v be a(p). What is the units digit of 1 + (32 + -1 - v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109788?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {r: 7, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 0*c**2 + 0*c**3 + 1\/20*c**6 - 3\/20*c**5 + 1\/6*c**4 - 14*c - 1\/168*c**7 + 0. Factor q(n).\nAnswer: -n**2*(n - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 5*n + 2. Let c be s(-3). Suppose 5 = m + 4*t, 0 = t - 0 - 1. Is (-2)\/(1\/c*m) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (3 - 4) - (-1 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 21*t**3 + 2*t**2 + 6*t - 11. List the prime factors of q(2).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 8 = 6*j. Let d = j + 1. Let b(l) = 4*l - 1. What is the units digit of b(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00303 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.8 (b) 3\/5 (c) -7\/1997\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5.148 (b) 5 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 = -2*i. Suppose 0 = 4*x - 5*a + 30, 3*x + 3*a = -0*x - 9. Let q be 1\/((-4)\/3)*-4. Sort q, i, x.\nAnswer: x, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 478908484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -3*n + 0 - 9\/2*n**2 - 1\/2*n**3. Let z(c) = c + 2. Determine -2*o(r) - 9*z(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-9 - -4)) + (70 - (-14 - 12)).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwmxdddvd. What is prob of picking 2 d and 2 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 8*s + 9. Let t(c) = -4*c**2 - c**3 + 0*c + 118 - 62 - 58 + 4*c. Let u be t(-4). Let b(m) = 2*m + 2. Determine u*b(i) + 4*p(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*u - 39, -h - 41 = -3*u - 2. Which is greater: 40\/3 or u?\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 256*h + 252*h = -56 + 10, 5*m = -4*h + 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 623778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibiiibiiib. What is prob of sequence ii?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (58\/4)\/((-850)\/(-8)*(-221 + 222)). Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24583766 plus 0.07?\nAnswer: -24583765.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(2176) + sqrt(2176)*-2)*6 - sqrt(2176)) + sqrt(2176))\/(5*sqrt(200)\/sqrt(4)).\nAnswer: -48*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 1. Let q = -6 + 6. Suppose q = 5*l - 2*f, 5*l + 4*f = -0*l. Suppose 5 = i - l. What is t(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g - g + 3*g - g + 4*g**2 to the form u + y*g**2 + w*g and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 51 = 7*z, 2*z + 139 = s + 125 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14299243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -18*m + 23. Let i be t(1). Suppose 2*c + 3 = -c. Put c, i, -11 in decreasing order.\nAnswer: i, c, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.657 minus 111928?\nAnswer: -111899.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*f - 5*f + 11714 = 0, 0 = -4*n - f + 23426. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 737 + -733. Let y be -6*18\/27 + w. Put -1, -34, y in decreasing order.\nAnswer: y, -1, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3612)\/(-8))\/3*(-6)\/45. Let z = -99\/5 - g. Factor -2\/15*y**4 - 6\/5*y**2 - z + 2\/3*y**3 + 14\/15*y.\nAnswer: -2*(y - 2)*(y - 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19711 is divided by 176?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**4\/12 + 17*a**3\/3 - 20*a**2 - 39*a. Let m be x(26). Suppose 0 = 2*k - m - 196. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/2441193 and 32\/1794667.\nAnswer: 393032073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -28*x - 2. Calculate t(4).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 8*w**2 - 12*w + 4. Let i(a) = a**2 + 4*a - 2. Let v be i(-5). Suppose -6 - 9 = -v*s. What is the remainder when 54 is divided by l(s)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31488 and 10496?\nAnswer: 31488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7704 + 0.9. Let n = t + -0.129599089. What is n rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15378 * -0.109.\nAnswer: -1676.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 855 - 853.7. What is the nearest to 2\/7 in 5, -0.4, z, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*s + 8 = -12, -h - 5*s = -25. Let c be 55 - (h - (-6 - -6)). Calculate the greatest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1564942?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 818334088?\nAnswer: 2, 11, 13, 41, 73, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3174 by 6.\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*s = 4*z - 16, 2*s - 8 = -5*z. Suppose -3*t - 15 = 0, z = -2*y - 0*t + 3*t + 101. Suppose 3*m - y - 113 = 0. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -5 + 1)\/(-4). What is the third smallest value in u, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 258*6\/9. Let s = -122 - x. Suppose 4*d - d = s. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/12*4*(-9)\/(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/(6364\/1221) - (-2 + 6 - 7)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) 1 (c) 0 (d) -9\/19 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3474 + 919. Round q to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41 or -3\/576617?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 0*q**2 - 7\/5*q**5 + 0*q**3 + 0*q**4 - 3 + q. Differentiate h(p) with respect to p.\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*c + 12 - 37 = 0, -4*m - 4*c - 20 = 0. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10465*m - 3345*m + 23555*m + 4897*m to l*m + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfrfrfrrxr. What is prob of sequence xrx?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -57, -44, -7, 66, 187, 368, 621?\n\"Answer: 2*a**3 - a - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h - 25*h - 14*h + 7 + 86*h to t*h + y and give t.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + -2)**2 + (3 + sqrt(7))**2*2.\nAnswer: -32*sqrt(7) + 883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20920, 167327, 564724, 1338607, 2614472, 4517815, 7174132?\nAnswer: 10708919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**6\/120 + 7*i**5\/60 - 11*i**4\/24 + i**3\/2 + 6*i**2. List the prime factors of h(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111001101011001 + 101?\nAnswer: 1111001101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**3\/3 - 1. Suppose -4*b + 20 = b. Let l(s) = b*s - 141 + 141. Calculate l(x(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9165 and 0.22?\nAnswer: 9164.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p. Let g be (-4)\/(-18) + 7\/(2772\/(-55)). Let j(c) be the third derivative of 0*c**3 + 0*c**4 - g*c**5 + 0 + 0*c - 4*c**2. Calculate j(h(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 9*x**2 - 4*x + 122. Let h be l(10). Let n = h + 240. What are the prime factors of n?\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**5 + 21*l**4 + 72*l**3 + 68*l**2 = 0.\nAnswer: -17, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -3. Let g be v - (-3)\/(-6)*2. Factor -2*a**3 - 2*a**2 + g*a**2 + 3*a**4 + a**3.\nAnswer: a**2*(a - 1)*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/15)\/(1\/80*-2). What are the prime factors of (h\/(-4 - -2) - -3)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 g when four letters picked without replacement from {m: 2, g: 10, i: 1, j: 4, q: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86442428 - -86442423.8799809. Let h = b + 4.12. What is h rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31099741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + x - 21 = 0, 0*x - 2*x = -5*o - 22. Let r be -1 + -2 + (-5 - o). Which is the closest to 0? (a) r (b) -3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 32 (b) -28 (c) -1\/4 (d) 0 (e) 1\/3 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**5\/6 + 16*a**3\/3 - 3*a**2 + 24*a. Let w(v) be the first derivative of h(v). Find the first derivative of w(q) wrt q.\nAnswer: -20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10809420 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, 35, 123, 297, 587, 1023, 1635, 2453?\n\"Answer: 5*l**3 - 2*l**2 + 3*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 502 = a + a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - ((-5 + 13 - 2) + (-24 - -13))) + -75.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 489341\/120 - 20414\/5. Let a = -312 + 1546\/5. Find the common denominator of a and f.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.2 rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a - 9*a**3 + 33\/4*a**4 - 12*a**2 + 1 - 21\/20*a**5. Solve b(y) = 0 for y.\nAnswer: -2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b + 19. Let m(v) = -10*v - 37. Let j(u) = 7*f(u) + 4*m(u). Calculate j(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + o - 4 = 0, 2 = 4*o - 2. Suppose 2 = -a - 4*v, -z*v - 7 = -a - a. Factor -6 + 5*u + 3 + u + u**a - 4*u**2.\nAnswer: -3*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 7*u**2 - 5*u - 5. Let v be w(6). Let b(g) = 3*g + 3 - v - 1 - g**2. Let o be 0 + -1 + (8 - 3). Give b(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*t = -9*t - 74 + 632 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 34*m - 15*m**2 - 19*m**2 + 50*m**2 - 13*m**2.\nAnswer: 3*m**2 - 34*m - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126755.\nAnswer: 5, 101, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 9:23 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 121 and 1.019?\nAnswer: 119.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g. Let u be w(2). Suppose u*l - 20 = -10. Let h(x) = x + 14. What is the units digit of h(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/s**(-3))\/s*s)\/s*s**(-3\/2))**8\/(s**(-1\/7)\/(s\/(s*s**0)))**(-21) assuming s is positive.\nAnswer: s**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253632 divided by 16.\nAnswer: -15852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 111. Suppose 0 = -7*p + 4*p + y + r, -p + 5*y + 5 = 0. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -403 * -1440.\nAnswer: 580320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397460\/204 - (-1)\/3*2.\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -9*w + 6*w - 2*w. Let b(l) = 2*l. What is n(b(j))?\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333783917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 0 - (3 - 2). Let b = -2745 - -2750. Sort -1\/5, j, b.\nAnswer: -1\/5, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccr when three letters picked without replacement from cccrrccrcrcccrcrrcc?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 35687.42t?\nAnswer: 35687420000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 17 = -5*d, -5*v + 29 = 3*d + 10. Put 2\/3, d, 4 in decreasing order.\nAnswer: 4, d, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from {y: 8, x: 6, e: 3}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 67*n - 7087. Determine t(107).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -261*r**4 + 122 wrt r.\nAnswer: -1044*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + 0*m + 0*m)*(12*m**2 + 3*m**2 + m**2).\nAnswer: -32*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ic when two letters picked without replacement from ciicicccz?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - m**2 - 5*m**3 + 273 - 117 - 156.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txelreltxrtlmtrlll. What is prob of picking 2 e?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 3*w - 13. Let j be c(-6). Suppose j*a = -5*z + 55, 2*z - a - 22 = 3*a. Suppose 80 = z*g - 7*g. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*g - 4*c - 88, 20 = -4*c. Suppose -2 = -4*l + 10. Suppose l*o = o + g. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/2 + 63*y**3\/2 + 555*y**2\/2 + 1325*y\/2.\nAnswer: y*(y + 5)**2*(y + 53)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -11\/10*z**5 - 1\/6*z**4 + 121*z + 1\/42*z**7 + 11\/2*z**2 - 3\/10*z**6 + 7\/2*z**3 + 0. Factor v(f).\nAnswer: (f - 11)*(f - 1)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, c: 1, o: 4, j: 4, w: 6}. Give prob of picking 2 o.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 4*r + 1. Let b = -26 + 21. Give s(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -1\/4*b**2 - 1\/2 + 3\/4*b = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000561104 rounded to six decimal places?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 251420, 501786, 752152?\nAnswer: 1002518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t - 3*t + 14865*t**2 + 222 - 14861*t**2 to i*t + f*t**2 + c and give c.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77488 to the power of 1\/2, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -x - f + 14, 0 = 4*x - 4*f + 24 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1846436*y = -1846409*y - 567 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 157 and 50639408.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/10 + 54\/5 + 66\/22. Solve -147 = -w*d - 7*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 7*y**2 + 10*y - 11. Let v be h(8). Let f(x) = x**2 - 3*x + 4. Let l be f(v). Let k = 17 - l. What is the lowest common multiple of 1 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13272, -53061, -119370, -212199, -331548, -477417?\n\"Answer: -13260*o**2 - 9*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 92196 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - -1*sqrt(204))*-6 - sqrt(204)*6*4)\/(sqrt(300) + -5*sqrt(300) - sqrt(1200)*-3).\nAnswer: -18*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 119063938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**3\/6 + 2743*l**2\/3 + 5485*l\/6 = 0.\nAnswer: -5485, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/((-1)\/(-26)*4). Suppose 0 = 3*o + d - 39, -3*d - q = -5*o + 38. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 10:16 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077171 to the power of 1\/2, to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 60000878341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -n + 1508 + 858, 5*n - 11761 = 3*a. Suppose 12*f - 10*f + 2703 = -3*q, -4*f - 3*q = 5421. Let c = n + f. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446366353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*i**3 - 70*i**2 - 361*i + 23*i**3 - 14*i**2 - 2*i**4 - 1011*i wrt i?\nAnswer: -24*i**2 + 6*i - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 27, 51, 75, 99, 123?\n\"Answer: 24*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/77)*a**(-5))**(-27) assuming a is positive.\nAnswer: a**(10449\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*j - 63*j - 1255 + 7 = 0 for j.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-2)\/(-30))\/1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (5 - (-6 - 120)) - (-293 + 311)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 18*c + 6553 = n, 0 = -c + 5. What are the prime factors of n?\nAnswer: 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3012925302?\nAnswer: 2, 3, 631, 88423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -12*g**5\/5 + 37*g + 35. Find the first derivative of v(c) wrt c.\nAnswer: -48*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y + 161. What is the remainder when d(32) is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**5\/5 + 23*s**4\/5 - 21*s**3\/5 - 1931*s**2\/5 + 3488*s\/5 + 5376\/5 = 0.\nAnswer: -16, -1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 34817 and 34834 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/(-15))\/(-2))\/(27\/50*6695\/5356)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 44\/5 (c) 0.1 (d) 3 (e) 58 (f) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-21)*(-63)\/(-81)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1220 (b) -10 (c) 4 (d) -0.2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6108249194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3316 + -1976. Let j = i - 618. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1, -12186.1, 4\/7?\nAnswer: -12186.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32660?\nAnswer: 2, 5, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*c + 2 - 62*c - 2 to u*c + i and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 139, 234, 289, 304, 279, 214?\n\"Answer: -20*y**2 + 155*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(-4*-5*sqrt(20)\/sqrt(4)*1)**2.\nAnswer: -40000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-40)\/(-6)*1533\/(-14). Let p = w - 3662\/5. What is the second biggest value in -4, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5643358 a multiple of 519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1148 - 743. Suppose -12*m + 699 = -g. Does 46 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11902 > 789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3474020161 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001709758002 to 5 dps.\nAnswer: -0.00171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -287 + 212. What is the remainder when (-3)\/(-2) - 810\/(-20) is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/7, -5, 2, -165813, 1\/5 in descending order.\nAnswer: 4, 2, 1\/5, 1\/7, -5, -165813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 2 - -5*1\/1. Put p, -1, 0, 1 in ascending order.\nAnswer: -1, 0, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/105*(-9)\/(-30)*70\/28?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 1, -4, 6, -1\/77, 0, -9\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**4\/6 + 15*f**3 - 305*f**2\/6 - 150*f - 250\/3.\nAnswer: -5*(f - 10)**2*(f + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 1821*i**4 - 910*i**4 - 2*i**2 - 906*i**4 to the form l*i**2 + c*i**3 + a*i + g + u*i**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7698 - 230893\/30. Calculate the common denominator of -53\/150 and n.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z. Let f(a) be the first derivative of a**3\/6 - 3*a - 3. Let c(r) be the first derivative of f(r). Give q(c(l)).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4860.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from {k: 7, q: 8, f: 5}?\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g - 921 + 897 + 414*g**2 - 4*g as i*g + m*g**2 + p and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -45\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*1\/1008 - 0. Let w(y) be the third derivative of 0*y**3 + 1\/60*y**6 + y**2 + 0*y - 1\/105*y**7 + 0 + g*y**8 + 0*y**4 - 1\/90*y**5. Factor w(o).\nAnswer: 2*o**2*(o - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 - 66*w**2 + 51*w - 118. What is the lowest common multiple of k(-34) and 575?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + sqrt(242) - (sqrt(24)\/sqrt(4)*-1)\/sqrt(3).\nAnswer: 1 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 35*y**2 + 174*y + 7832. What is r(-33)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b5dc17 (base 14) to base 9.\nAnswer: -12506878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45430983 divided by -45430983?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593 + 16\/40*-5 is divided by 586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117014, 234029, 351044?\nAnswer: 468059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -0.5, 2\/91, 0.2, 1.2?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 1. Suppose l - 6*l + g + 13 = 0, -i*g + 6 = 0. What is the remainder when 20 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = 3*b - 160*b - 3985. Put 4, 0, -1, -3, b in descending order.\nAnswer: 4, 0, -1, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1. Let g(x) = x**3 - x**2 - 5. What is -g(z) + 6*y(z)?\nAnswer: -z**3 + z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.587093116 to three decimal places.\nAnswer: 0.587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3292087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*r + 4, -3*b + r = b - 33. Suppose -o + 2*f + 15 = -3, 0 = 4*f + 4. What is the highest common divisor of o and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 9 + 1)*(3 + 1 - 3)*(9 - 5 + 1 - 3*n).\nAnswer: -66*n + 110","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 14 + 3 - 2*c + (-c + 3*c - c)*(-3 - 2 + 3))*((3 - 2 - 2)*(0 + 4 - 3) + 0 - 4 + 0) in the form j + v*c and give j.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4}. What is prob of sequence nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 797745 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 7. Let x(d) = -2*d**3 + 3*d**2 + 3*d. Calculate the remainder when 4\/10 + (-208)\/(-5) is divided by x(t).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25304607 to the power of 1\/3, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - y = 82, 2*i + y + 3*y = 152. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 186 and 30.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1286.8 + 1665. What is g rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 + 1543647*k**3 - 3087303*k**2 + 1543653*k.\nAnswer: 3*k*(k - 1)**2*(k + 514551)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, q: 2, w: 2, b: 2, e: 1}. What is prob of sequence bv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - -3230)*((-15)\/45)\/(-1)?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110676627 to the power of 1\/4, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(3\/2)\/l*l*l**(8\/5))\/(l**(2\/11))**(6\/7) assuming l is positive.\nAnswer: l**(3037\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 43 - (-13 - -5)\/1. Calculate the highest common factor of l and 4131.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3793497634 take away -800?\nAnswer: -3793496834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 95634780 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -468.9 times 1?\nAnswer: -468.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n + 16. Let q be m(8). Let k = -0.1 - -5.1. Which is the second biggest value? (a) k (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128552.1 plus 49459486?\nAnswer: 49330933.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/288 and -29\/18.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-2)*1*-64)\/(126\/441). Solve n - 351 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 0*r**2 + 1 - 9*r**2 + 4*r**2 + 0. Calculate p(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w + 20 = -3*q, 0 = 3*w - q - 30. Let n = w + -8. Calculate the greatest common factor of n and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 439 - 428. Suppose 0 = 32*d + t*d - 473. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p = 5*z + 13, 5*p + 3*z + 30 = 0. Let k(s) = -s**3 + 5*s**2 - 4*s - 5. Let b be k(4). Is b > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (110 - 106) + -19 + 1 + 11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 2*z**5\/25 - z**4\/5 + 2*z**3\/15 - 27. Find g such that d(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**2)\/i)**(22\/7)*(i*i**(2\/45))\/i*i\/(((i*(i\/((i\/i**(-38))\/i*i)*i)\/i)\/i)\/i) assuming i is positive.\nAnswer: i**(10634\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*d**3 - 18841*d**2 + 1037175 with respect to d.\nAnswer: 42*d**2 - 37682*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.587498 millennia in years?\nAnswer: 2587.498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(1125)*-1.\nAnswer: 75*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 11*x - 17. Let l be d(-5). Let u(z) = z**2. Let b(g) = -3*g**3 - 24*g**2 + 12. Let v(p) = l*u(p) - 3*b(p). What is the derivative of v(a) wrt a?\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/10*(-15)\/(-3). Let f(w) = t*w - 12*w + 3*w. Let p(h) be the first derivative of -2*h**3\/3 + 34. What is f(p(m))?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.573314 - -9.873423. Let b = -10.7 - i. Round b to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0.0415.\nAnswer: -0.9585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37.5 - -37. Suppose 5*y = -4*j - 19, 4*y = -4*j - 7 - 9. Which is the third smallest value? (a) 4 (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -6*q. Let i(j) = -7 + q*j - j - 3. Calculate i(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2529170 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -78*a + 1. Let q be (-1)\/(7\/(-2) - -3). Suppose 5 = -3*y - q*y. Is s(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*j**2 - 35*j**2 - 33*j**2 + 91)*(18*j + j + 8*j).\nAnswer: 54*j**3 + 2457*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from mmugusmrrhgguuurrurh?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 519713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 1. Let t(y) = 6*y**2 + 3*y + 3. Let p(v) = 3*s(v) + t(v). Let o(k) be the first derivative of 2*k**3\/3 - 2. Give p(o(q)).\nAnswer: 24*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/2240 and -109\/5440?\nAnswer: 38080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12616 and -1.\nAnswer: -12616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 132989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 12*o. Let z(s) be the second derivative of s**7\/2520 - 2*s**4 + 9*s. Let n(m) be the third derivative of z(m). Determine n(x(g)).\nAnswer: 144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n. Let u(d) = 2*d - 3646. Give u(z(a)).\nAnswer: -12*a - 3646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from xjpopxpgpppppxjpp.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2.4. Let s = x + 4.4. Let w be (84\/(-210))\/(4\/10). Which is the nearest to w? (a) s (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 3 + -3)*0. Suppose r - 41 = -l*r. Let g = r - 24. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = -2*l + 182017. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 7:58 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19, 45, 67, 85?\n\"Answer: -2*h**2 + 32*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*f**3 - 21*f**3 - 15*f**3 - 11*f wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12021025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-112) - (-2)\/8. Let w = -7661 + 7662. What is the fourth smallest value in 1\/6, j, w, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413432620.\nAnswer: 2, 5, 20671631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n - 2. Let o be d(4). Suppose s = -s + o. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -7*r - 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(336\/810) + (-3)\/4. Suppose -5*o = -3*b + 135, b - 5*o = r + 12. Let u = -37 + b. Solve -x - x = u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 r when two letters picked without replacement from krhhzghzkhhzgcz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + -11. Let p = -18 - t. Let h(d) = -12*d**3 + 9*d**2 + 9*d + 9. Let y(s) = -s**3 + s**2 + s + 1. Determine p*y(v) - h(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1286 is divided by 400?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 = -1372*j - 9240 - 557 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l + 2*l + 6*l + l in the form q + o*l and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywl when three letters picked without replacement from yllwljljlyl?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(528\/45))\/((-24)\/64)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/4 + 2 + -3. Let x = -107 + 143. Let q = x - 40. Which is the third biggest value? (a) 5 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 513*l. Let y(d) = -10*d. Let b(t) = -7*t. Let g(r) = 4*b(r) - 3*y(r). What is g(u(q))?\nAnswer: 1026*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 23*o - 11. Suppose -8*g = -4*g + 68. Let x = -141 - -143. Let m(a) = -8*a + 4 + 5*a + x*a - 7*a. What is g*m(d) - 6*l(d)?\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 + 19 = 26*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (-5 - 12) + -17?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9639, -9818, -10001, -10188?\nAnswer: -10379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(1*(-12)\/3)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-36) + (-1)\/60*-5)*8. Solve -5*z - g - 21 = 0, -1 - d = 3*g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 10 = 1071*b - 1069*b, 0 = 5*o + 2*b - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -22740?\nAnswer: -22735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800836 is divided by 1199?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5 + 1 + sqrt(112) + 1)**2*6.\nAnswer: -144*sqrt(7) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -384 times -0.04\nAnswer: 15.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*c - 4*z - 1, 2*c + 10 = -3*z. Let s be ((-19)\/(-10) + c)*(-15)\/(-2). Let u = 93\/20 - 17\/4. Sort s, u, 0.3 in increasing order.\nAnswer: s, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 276 (base 10) to base 12\nAnswer: 1b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 52*w**3 + 3*w**2 - 3*w + 3. Let i(t) = 884*t**3 + 52*t**2 - 52*t + 52. Give -3*i(k) + 52*z(k).\nAnswer: 52*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*l + 10 + 10, 3*k = 2*l - 8. Let y = 1 + -0.7. What is the biggest value in k, y, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 304 and 13997756?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -39*o**2\/2 + 9*o + 2. What are the prime factors of j(-4)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363447 is divided by 1549.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 4*f = -2*q + 22, 0 = f - q + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2492)\/(-48) + 2\/6. Let n = -52 + t. Let r = -4 - 1. Sort r, 4, n in descending order.\nAnswer: 4, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -1, 8619 in descending order.\nAnswer: 8619, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-4)\/56)\/(6\/8)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than 27.84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-2)*(3 + -1). Suppose 13*h - f*h = 4. Factor -11*i**5 - 3*i**3 + i**4 + 11*i**h + 2*i**5.\nAnswer: -3*i**3*(i - 1)*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 = 600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -12. What is the remainder when 130 is divided by n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 14*w**2 + 8*w + 14. Let r(t) = 4*t**3 + 58*t**2 + 33*t + 58. Let m(a) = 2*r(a) - 9*y(a). Give m(-9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 56*c**2 - c - 51019. Let g(x) be the second derivative of x**4\/12 + x. What is t(g(z))?\nAnswer: 112*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.1, -1\/5, 3, -5, -220, -9 in descending order.\nAnswer: 3, 2.1, -1\/5, -5, -9, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 t when three letters picked without replacement from {c: 8, j: 4, t: 3, q: 2}.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a05 - -3?\nAnswer: -2a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119364514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 7 = -4*i + 23, 0 = 3*o + 5*i - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**4\/5 - 13012*a**3\/5 + 1007777*a**2\/5 - 994764*a\/5 = 0?\nAnswer: -13089, 0, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 955504 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)*c\/((c\/(c**0*c))\/c)*(c**(-1))**(-9\/4))\/((c\/c**1)\/c*c*c**(2\/17)*(c**(-7)\/c*c)\/(c*(c**1\/c*c)\/c*c)) assuming c is positive.\nAnswer: c**(485\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -1. Suppose 175544 = j*d - 5*c - 124466, 4*d - 299994 = -3*c. What is d rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*v - 22 = 2*v, 2*v - 23 = -5*a. Suppose -5*g - 9 - 22 = -3*x, 0 = -4*g - a*x - 10. Let r(q) = -q + 3. What is the units digit of r(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 997.864\nAnswer: 2993.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2332412 (base 5) in base 4?\nAnswer: -22131221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23 + 2 + 10 + (5 - 3 - 4)*(-1 + 0 + 0))*(f**2 + 2 - 2*f - 2) in the form l + p*f**2 + r*f and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-3)\/4) - (5 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7808, 7743, 7614, 7403, 7092?\n\"Answer: -3*j**3 - 14*j**2 - 2*j + 7827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -764*m + 785*m = 105. Solve z = -4*z - m*g - 25, z + 5*g + 25 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 z when three letters picked without replacement from oghzbgbjbzjjghhjh?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*s**2\/19 - 1548*s\/19 - 3698\/19 = 0. What is s?\nAnswer: -43\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7320 is divided by 4263?\nAnswer: 3057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**4\/2 + 4*j**3\/3 + j**2 - j. Factor w(c).\nAnswer: 2*(c + 1)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + m**2 - m + 1. Let r(p) = 2*p**3 - 5*p**2 + 5*p - 5. Calculate -r(s) - 5*v(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 57802*t - 57802*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 11, f: 3}. What is prob of picking 1 f and 3 w?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*j**2 + 94*j**2 - 156*j**2 - 3*j**3 + 5*j**3.\nAnswer: 2*j**3 + 31*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 3\/4 (c) -10\/7 (d) 15 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2558 is divided by 128?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5806647 divided by 27783\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/3, -0.2, 2\/35 in ascending order.\nAnswer: -2\/3, -0.2, 2\/35, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1300, 1255, 1212, 1171, 1132, 1095, 1060?\n\"Answer: p**2 - 48*p + 1347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2156 (base 10) to base 13.\nAnswer: c9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3850 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(10)*-1) - sqrt(208)*1 - (1 + sqrt(39)\/sqrt(3) + (sqrt(26)\/sqrt(2) + 0)**2).\nAnswer: -6*sqrt(13) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2. Let g be 2\/(-11) + 159\/(-33). Let m = 29 - 32. Let r(j) = -j - 3. Calculate g*n(c) + m*r(c).\nAnswer: 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, -8, 30529, -0.1?\nAnswer: 30529","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 86015424 to the power of 1\/2, to the nearest integer?\nAnswer: 9274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27.954 from -0.82458.\nAnswer: -28.77858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -8*d + 4. Let h be y(-3). Let x be h - (3 + 1 + -1). Calculate the greatest common factor of 50 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 16*p**2 - 525*p - 8428. Calculate w(-16).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = 6*n + 92 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 10. Give t(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 194 = 112 + 148. Let i(r) = -19*r + 113. What is i(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 295*w**2 - 10*w - 25. Is k(-3) a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4468687 is divided by 238?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven halves of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5))**7\/(o*(o*o**25)\/o*o*o*o**(-16)) assuming o is positive.\nAnswer: o**(-74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -791*d**5 - 231*d**2 - 2*d.\nAnswer: -47460*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*t = 8, -k = -6*k - 2*t + 39. Suppose 5*a + 20 = 0, -3*f + 5*a = k*a - 427. What are the prime factors of f?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a + 2*a)*(-2*a - 2*a + 5*a) + 0*a**2 + 0*a**2 + 2*a**2 + 0*a + 0*a + a**2 - 377 - 46*a**2 + 377.\nAnswer: -41*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exwwcuccxxcuwx. What is prob of picking 2 w, 1 c, and 1 e?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -29970 to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -9 (b) 4 (c) 9 (d) 2.1161 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 0*y + 0*y**6 + 1\/30*y**7 + 0*y**3 + 0*y**5 - 32*y**2 - 17\/12*y**4 + 0. What is the second derivative of j(s) wrt s?\nAnswer: 84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15552 and 1647?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 216*d*f*r - d*f - 7*d*r - 18*d - f + 649*r - 9907 with respect to r.\nAnswer: 216*d*f - 7*d + 649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 - 1815211?\nAnswer: -1815170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92169779?\nAnswer: 13, 19, 373157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 + 0.3. Let g = m - -0.2. Let k be -7 - -2 - (1 - -7)*(-104)\/104. What is the closest to g in 0.1, -5, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12266 - 61331\/5. Which is the nearest to -18? (a) 3 (b) z (c) -5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/1*27\/864*48?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1760 and -23.0473347?\nAnswer: 1783.0473347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*z + 10 = -4*z, 0 = -y - z - 1. Let h = y + -2. Let l = 13 + h. Solve -m - 2 - 1 = l*n, -5*n + 3*m + 9 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + r + 24 = 0, 0 = d - r + 6*r - 8. Let i(v) = d*v + 3 - 2 - v. Let a be (-1)\/3 + (-24)\/(-18). Calculate i(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*o + 10 + 3 = 0, 5*j = -o + 41. Let i(w) = 15 + 16*w + 13*w - 30*w. Calculate i(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -292, 5\/2, 1\/4, 1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 4*i = -8*v - 16, -6*v - 3*i + 9 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -169352916\/1927835 - -2\/148295. Let a = n - -88. Factor 8\/13 + a*h**2 + 10\/13*h.\nAnswer: 2*(h + 1)*(h + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 16*t - 5. What is the remainder when l(-19) is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d**2 - 219*d - 40*d**2 - 194*d + 413*d.\nAnswer: -53*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*v**2 + 18007*v - 1318694.\nAnswer: (v - 67)*(25*v + 19682)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d - 4 = 0. Suppose 0 = 17*z - 12*z + 4600. Is (z\/(-24))\/(d\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-200)*27344\/5127\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 2*p. Suppose -v + 103 = -p*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.467 + -0.466999278. What is d rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/13)*b**(-2\/5)*b*(b**8\/b)**(-2\/15))**48 assuming b is positive.\nAnswer: b**(-112\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -64685*-5\nAnswer: 323425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60402571?\nAnswer: 60402571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 558*c = 523*c + 3500. What is the lowest common multiple of 60 and c?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.71 - 0.33. Let h = p - -2.62. Which is the second biggest value? (a) h (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*m**5 - 55*m wrt m.\nAnswer: 1480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -293637474*p - 3236018?\nAnswer: -293637474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -145*r**3 - 2*r**2 - 8. Let g(u) = 217*u**3 + 4*u**2 + 13. Let y(m) = -5*g(m) - 8*s(m). What is the third derivative of y(c) wrt c?\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 164*a**2*d*u**2 - 2*a**2*d + 769*a**2*u**3 - 2*a*u**3 + 4*d*u**2 - u**3 - 961*u + 2 wrt a.\nAnswer: 328*d*u**2 - 4*d + 1538*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 58*c + 4 - 4.\nAnswer: 58*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -280 - -282. Suppose 4*y + 0*y + 2*g = 14, 16 = 2*y + 4*g. Solve y*s + i*n + 7 = -1, 0 = 5*s - 3*n - 20 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -243.69 and -449.\nAnswer: 109416.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 1350 - 2692 + 1342.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9662 times -0.1?\nAnswer: -966.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) - 3*sqrt(121))*5)\/(sqrt(1584) + 3*sqrt(1584) + sqrt(1584)) + -6*(sqrt(396) - sqrt(396)*-1*-6)\/sqrt(9))**2.\nAnswer: 1417691\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*2\/7*1*91\/39.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4873, 4691, 4505, 4315, 4121, 3923, 3721?\nAnswer: 3515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2353.69mg to tonnes.\nAnswer: 0.00000235369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710457.\nAnswer: 3, 11, 21529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1386 = -3*j - 2*w, -5*j + 5*w = -1400. What is the remainder when 2\/(-4)*j*-1 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(68) + (-2 + sqrt(68))**2 + 0 + -2 - 3*(sqrt(68) + -2)*-4*-4.\nAnswer: -102*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10448401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.05 (b) 13 (c) -1 (d) -0.24 (e) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5991.0002887 + 5991. Round h to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**5\/4 + x**4\/24 + 11*x**2. Calculate o(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.097 * -15163\nAnswer: 1470.811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - o + 25. Suppose -o*f + 13 = -q, 4*q + q + 17 = f. Solve 14 = f*l - 4*s, -3*l + 0*s - 4*s = -11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 12 = -3*j, 4*j = -2*o - j - 6. Solve -o*r + 4*r = -2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 + 23*y**2 + 70*y. Let p be i(14). Suppose 0 = -0*h + 2*h + 10. Put h, 7, 1, p in descending order.\nAnswer: 7, 1, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 9*n - 24. Solve 10 = n*a + 2*j, 5*a - 25 = -10*j + 5*j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agaxweegjaeeeegwea. Give prob of sequence gj.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*(-2 + sqrt(1539) + -3) - 4*6*(-2*sqrt(1539) - sqrt(1539))*-4)**2.\nAnswer: -324000*sqrt(19) + 138513600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express f - 21 - 2*f - 37 in the form d*f + s and give s.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(133)*-2*-3)\/((-2*sqrt(14))\/sqrt(2))*5)**2.\nAnswer: 12825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 380418222 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = 22*n + 172. Suppose 11*y - 7*y = 0. Sort 1, n, y.\nAnswer: y, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2943491.1 months to centuries.\nAnswer: 2452.90925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -h + 5. Suppose -2*o + w + 6 = 0, -3*o + 3*w - w + 7 = 0. Solve 0 = -h*a - 3*b - 3, -o*b + 0*b - 10 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*w - 36 = 0, 3*f = 4*f - w + 5. Let l be 0 - 1 - (f + 5). What is the third derivative of 15*i**3 + 14 + 15*i**3 + 21*i**l - 14 wrt i?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229251?\nAnswer: 3, 11, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 43*c**7\/7 + 167*c**3\/6 - 250*c. What is the second derivative of u(z) wrt z?\nAnswer: 5160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.57 + -11.97. What is the third biggest value in 6\/7, s, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3) + 2 + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 7*g - 14. Let t be x(-3). Suppose -3*r = 3*z - 669, 0 = -2*z + 12 - t. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1232 - 1658. Are x and -1277\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -5, -1, 0.4, 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 383436?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13103113121 (base 4) in base 8?\nAnswer: -7232731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/156)\/(8 + 198\/(-27)). Sort -4, -2\/7, 0.4, f in increasing order.\nAnswer: -4, -2\/7, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 170*m - 499. What is c(-167)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2. Let l(i) be the first derivative of 8 - 7\/3*i**3 + 0*i + 0*i**2. What is m(l(u))?\nAnswer: 98*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (22*23\/(-92))\/((-10)\/4 - -3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 145*a*p**3 - 65*a*p - a + 2*p**3 wrt p.\nAnswer: 870*a*p + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3278043685?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(2 - -2)*(1 - 70). Let f = h - -757. Suppose 4*y + y + 4*l = 861, 4*y - f = -3*l. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 - 790*t**2 + 3203*t + 4397. Determine a(-399).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -40 + 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 4. Calculate o(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6293 - -8752. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 7:02 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 10 = 2*l, -5*w - 17 = -l + 3*l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*b = 1 + 5, 0 = -4*b + 12. Suppose 0 = 4*s - 5*a + 5, 5*s - 50 = -8*a + 3*a. Let f = -0.2 - -0.4. What is the third biggest value in t, f, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 11*p - 10*p. Let o(v) = 2*v - 32. Let z be o(p). Which is bigger: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 9 + 112*c - 100\/3*c**3 + 0*c**2. What is the derivative of u(h) wrt h?\nAnswer: -200*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 812093 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + o - 147 = 0, -2*r = 3*r + o - 739. Suppose 2*l - 97 = -21*a + 22*a, -3*l + 4*a + r = 0. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 + -62. Let l(u) = -u**2 + u + 5. Calculate l(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0327372 and -0.1.\nAnswer: -0.00327372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -3\/4, 3\/8, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/(-2))\/5*(-72)\/27. Sort a, -74, -6 in decreasing order.\nAnswer: a, -6, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7977303287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and 15829.48.\nAnswer: 11080.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjfj when four letters picked without replacement from {f: 2, j: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7213 <= -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 32 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/27 and 119\/1206.\nAnswer: 3618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -334257.541137 take away -1474?\nAnswer: -332783.541137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1 + 4*r - 3*r + r - 5*r**2 + 12*r**2. Suppose 2*n - 4*n = -36. Calculate the least common multiple of l(-1) and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d. Let x(k) be the second derivative of 5*k**3\/3 - 13*k. What is x(n(o))?\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/7 + 75\/(-7). Let t = d + 16. Calculate the greatest common divisor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 48*c - 333. Suppose -55*s + 63 = -46*s. Let l be b(s). Solve 8 = x + l*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2907504571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1640, -1931, -2224, -2519, -2816, -3115, -3416?\n\"Answer: -k**2 - 288*k - 1351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 537192 and 134298?\nAnswer: 537192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 2 + 4)*(3*a - 2*a + 0*a) - a - a + 4*a + 0*a - 3*a + 5*a - 5 + 8*a + 5 - 11 + 11 - 4*a)*(-4*a - a + 3*a) in the form j*a**2 + x + y*a and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 798 and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 + -c7?\nAnswer: -d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -2*d + 16, 0 = -66*y + 59*y - 4*d + 84 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-24)*(-4)\/14.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -13*u**3 - 19*u**2 - 5. Find the second derivative of b(c) wrt c.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -12906 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 92c (base 13) to base 6\nAnswer: 11115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 * -0.2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 29 = -2*j, n - 20 = 5*n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 - 2*m + 1. Let r be y(1). Let f(l) = 3*l**3 - l + 1. Calculate the remainder when f(r) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -1 + (-385)\/33\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1. Let m(u) = -9*u + 37. What is 6*i(b) + m(b)?\nAnswer: -9*b + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 1212454 and 1212436 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**2*l**3 + 9*k**2 + 14*k*l**2 + 1119*l**4 wrt l.\nAnswer: 12*k**2 + 26856*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 119*x + 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 48\/5 of a kilogram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**4\/2 + 16*u**3\/3 + 7*u**2\/2 + 51*u - 4519. What is p(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11614.8 - 11614.900309. Let j = w - -0.1. Round j to five dps.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*m - 16 = -2*m, 0 = 4*h + 5*m + 18. Suppose y = 4*y + 6. Is h smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 2*y**2 - 4*y - 3. Suppose 2*k + 5 = 2*g - 3*k, k - 26 = -5*g. Suppose -4*h - 7 - g = 0. What is n(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76383 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*t**3\/8 + 69*t**2\/8 + 24*t - 15\/2 = 0. Calculate t.\nAnswer: -2, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176700 and 14259690.\nAnswer: 142596900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*(-23)\/((-276)\/(-72))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0559494913 to 5 decimal places.\nAnswer: -1.05595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 q when three letters picked without replacement from ozzqqqqzqoqq.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-5.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -8.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*(t\/(t*t\/t**(-2\/65)))\/t*t)\/t*t*t)\/(t*t\/(t*t**2))*((t\/(t\/(t**(-8\/3)\/t)))\/t)\/(t\/((t*t**(-1\/14))\/t*t)))**(2\/63) assuming t is positive.\nAnswer: t**(-4829\/85995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15721 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(84)*1*4)\/(6*2*sqrt(7) + sqrt(49)\/sqrt(175)) + 2.\nAnswer: -120*sqrt(3)\/61 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - 0.65. Let i = 0.45 - h. Which is the biggest value? (a) i (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 - 5*q - 4. Let b be c(4). Suppose 0 = k - 13 - b. Let l = k + -14. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 7*p = 5*t + 16, -t + 4*p = -22 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 31 - 34 + 71.\nAnswer: a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**2 + 3*x + 2. Let j = -22 + 25. Suppose 0 = -j*b - 12, 3*u = 3*b - 21 + 69. What is the remainder when c(-3) is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 15*f, -4*f = 4*m - 3344. List the prime factors of m.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**4 + 9*g**3 + 6*g**2 - 10*g + 4. Let i(k) = -k**3. Let l(j) = 2*h(j) + 14*i(j). Factor l(o).\nAnswer: -4*(o - 1)**3*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**5\/20 + v**4\/24 + v**2. Let c be x(2). Let f be (6\/c)\/((-1)\/5). Solve n = 2*n + f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.221*-37.\nAnswer: -8.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.1, 0.2, 0, -0.0028, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -2*g - 0*g + 5*f, 5*g + f + 56 = 0. Let j(y) = -102*y**2 + 205*y**2 - 45*y - 16 + 87*y - 55*y - 104*y**2. Calculate j(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*j + 167344 + 534201. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-1 - (-345)\/(-60)))*(1 - -3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 p, and 2 r when four letters picked without replacement from {q: 2, p: 2, g: 2, r: 6, a: 3}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6113 is divided by 139.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.058 + -4.058. Which is the smallest value? (a) -2\/13 (b) z (c) -3 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6752, 6754, 6746, 6722, 6676?\n\"Answer: -r**3 + r**2 + 6*r + 6746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125677 (base 11) to base 9.\nAnswer: -331285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -251*d**2*j**6 + 2*d**2*j**3 + 270*d**2*j + 2*d*j**2 wrt j?\nAnswer: -30120*d**2*j**3 + 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfjc when four letters picked without replacement from {j: 3, s: 3, z: 1, f: 4, c: 3, d: 1}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 131 = 1532. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -463, -367, -271, -175?\n\"Answer: 96*a - 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 9. What is b(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1942, 3873, 5790, 7687, 9558, 11397, 13198?\nAnswer: 14955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 852*v**2 + 2*v - 1735*v**2 - 35 + 884*v**2.\nAnswer: (v - 5)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-276)\/(-15) + (-2)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 2*p**2 - 9*p - 1. Does 37 divide t(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s + 7. Let a(q) = -8987*q - 2. What is t(a(w))?\nAnswer: -35948*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 375449068 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 966391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-8 + 17 - 4) + 0 + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 452.8 and -1.137?\nAnswer: -514.8336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58133 - 19378 - 507*y - 19376 - 19378.\nAnswer: -507*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70073 - 70075. Let y(a) be the third derivative of -a**4\/3 + a**3\/6 + a**2. Determine y(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 85*l**2 - 1069*l - 95. Determine a(-11).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 3:46 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/19, 391.779, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1009, -230, 19.\nAnswer: -230, 19, 1009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -261, -222, 111, 732, 1635?\n\"Answer: -d**3 + 153*d**2 - 413*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i - 13. Let m be s(6). List the prime factors of (m\/4 + -5)\/((-3)\/328).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1096038, -1096068, -1096098, -1096128?\n\"Answer: -30*w - 1096008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 3. Suppose -t = -2*x - x - 8, 40 = 5*t - 5*x. Let y be 1 - (0 - -2)\/t. What is the closest to -1 in y, d, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3*l = -5*d - 9, 0 = 4*d + 3*l + 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 68\/204 - (1 + (-3)\/(-9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -270572964 and 4.4.\nAnswer: -270572959.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from {v: 3, o: 1, p: 1, s: 2, r: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 0*k + 40*k**2 + 0*k**3 + 0 + 2\/3*k**4 - 1\/30*k**6 + 0*k**5. Find y, given that n(y) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15, -1, 5, -0.01, 2, -828\/11, 2\/5?\nAnswer: -828\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 472440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -830, -0.4, 8.43, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 9 + -18 + (8 - (-3 - (-49 - 12)))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 8*z + 3*z - 30, 5*i = -z + 22. Suppose -2332 = -i*s + 1653. Find the third derivative of -s*a**4 - 18*a**5 + 797*a**4 + 28*a**2 wrt a.\nAnswer: -1080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**8\/8 - 4*p**6\/5 - p**4\/6 + 32*p**2 - 3958*p. Find the third derivative of t(x) wrt x.\nAnswer: 840*x**3 - 576*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5*10\/((-10)\/2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -19 and 113\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*k + 5*h, 14*k - 2*h + 3 = 19*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 2:09 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 + 13*j - 15. Let i be b(3). Put 0.3, i, 0.1, -5\/9 in decreasing order.\nAnswer: 0.3, 0.1, -5\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3466308 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 234 + -716\/3. Which is bigger: o or -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-135)\/20)\/(-9))\/(297\/(-88)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 766.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.01654 (b) 0.15 (c) 0 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 23*g**2 - 2*g + 44. Let c be q(23). Put -17, -3\/2, c in increasing order.\nAnswer: -17, c, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (6 - (-2 - (-2 + 1)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - f**2 + 2. Determine j(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -999*s**2 + 8*s - 18. Let r(o) = 2000*o**2 - 13*o + 30. Calculate 5*q(y) + 3*r(y).\nAnswer: 1005*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 3*x + 6, -17274 + 17278 = -2*m + 4*x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 77 - 68 - 4*v.\nAnswer: -2*v + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.42 (b) 0.07 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 106591 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/5)*a)**(-44)\/(a**34*a\/(a*a*a**(-2\/53))*a) assuming a is positive.\nAnswer: a**(-37004\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*y - 11, -y + 5*n = 4*n - 2. Suppose -5*j + 30 = 4*r + 1, 0 = y*j - 15. What is the tens digit of r\/(-3) + (-1355)\/(-15) + -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*w**2 - 3 + 104*w**2 - 129*w**2.\nAnswer: 75*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -111091.0276 - -0.1?\nAnswer: -111090.9276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -167324675*m**2 + 79650847 wrt m.\nAnswer: -334649350*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2. Let f(d) = -136*d**2 + 37*d**2 + 98*d**2. Determine 3*b(k) + 2*f(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + 455*y - 12824 = -15*y for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 2046 = -3*r. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = a + 8, -3*p - 422 = 2*a - 415 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598*r - 20 = 613*r + 5*i, 5*r + 10 = -5*i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert cdc (base 16) to base 5.\nAnswer: 101132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 325*b**4 + 435*b**4 - 252*b**4 + (5 - 2 + b**2 - 2*b**2)*(-3*b**2 + b**2 + b**2) - 132*b + 6*b**4 + 132*b.\nAnswer: 515*b**4 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2, -2*a = 2*z - 533 + 59. Is 7 a factor of (126\/(-12))\/((-7)\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56.63 - 57.03. Which is the third biggest value? (a) -2 (b) -3\/7 (c) 0.02 (d) 5 (e) r\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(2\/3)*r)\/r*r)\/r*r\/r**16*r)\/(r\/(((r\/r**(-10))\/r*r*r)\/r)*r)**(-2\/11))**(8\/7) assuming r is positive.\nAnswer: r**(-3688\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 823569\nAnswer: 18\/274523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 539646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s. Let q(t) = 3*t - 25. Give -2*a(m) - q(m).\nAnswer: -m + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -550 by -1269.\nAnswer: 550\/1269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16081129?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -35.0000048. What is u rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*v = 3*v + 657, -5*v - 871 = -4*w. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4469 (b) -1 (c) -1\/6 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144 - 127. Suppose -39 = 11*d - f. Let q(y) = -4*y**2 + 2*y + 2. Let g(c) = -13*c**2 + 7*c + 6. What is d*g(h) + 7*q(h)?\nAnswer: -2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - 5*sqrt(11)*1) + -2*sqrt(11)*-1 + -1*(sqrt(11) + (sqrt(110)\/(sqrt(50)\/sqrt(5)) - sqrt(11)) - sqrt(11)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orvk when four letters picked without replacement from nonrknnrovmm?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + a - 12 - 18, 0 = -4*y - a + 62. Suppose y - 1 = 3*s. Solve -p + s*p - 4 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - 5*sqrt(153))*-1)\/(sqrt(900)*-5).\nAnswer: -2*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z + 50. Does 8 divide y(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14b495 (base 13) to base 6\nAnswer: -14535234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -105*k + 0 - 145\/6*k**3 - 21*k**2. Find the first derivative of u(z) wrt z.\nAnswer: -145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*15\/(-10)*1\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 8452 = 4*x - 3440, 0 = -2*b + 5*x + 2015. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3*o**2 + 540*g**3*o*x**3 - 9*g**3*o + g**3 + 2*g*o*x**2 + g*x**2 - 5380108*o**2*x**3 - 6*o*x**3 wrt o?\nAnswer: -4*g**3 - 10760216*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a + 7. Let d be o(0). Suppose 5*s + k = 13, -4*k + d = 4*s - 13. Let q = s - 1. Solve -3*x - 3*m = -15, -2*x + 11 - q = 3*m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfvfvvvvfvfvf. What is prob of picking 1 f and 1 v?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -4*t**2 - 4\/5*t**5 - 27 + 2*t**4 + 4\/3*t**3 + 0*t. Factor w(r).\nAnswer: -4*r*(r - 2)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -84*w + 0*w**2 - 139 + 0*w**4 - 181\/5*w**5 + 0*w**3. What is the derivative of j(d) wrt d?\nAnswer: -724*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32907597 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2. Let a(b) be the third derivative of 0 + 3*b**2 + 0*b**4 - 2\/15*b**5 + 0*b**3 + b. Calculate -a(m) - 6*o(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-12))\/((-16)\/(-18)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -8*h - 27. Let f be j(-9). Calculate the greatest common divisor of 315 and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**5\/6 + y**4\/24 - y**2. What are the prime factors of j(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 142270 = -3*f, z + z = -2*f + 94846. Let w be 20\/(-30) - f\/(-6). Let a be 6 - (0 + (3 - 0)) - w. What is a rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 70*a - 62. Let q be x(9). Suppose 19*r = -q + 2126. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -5*s, 0 = -15*b + 4*s - 446 + 485 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0. Let f(v) be the first derivative of v**5\/5 - v**4\/6 + v**3\/6 + v - 1. Let d(q) be the first derivative of f(q). Calculate d(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21, 17, 15, 15, 17, 21, 27?\n\"Answer: u**2 - 7*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/7 + 2446*u**3\/7 - 19654*u**2\/7 + 51666*u\/7 - 44316\/7 = 0.\nAnswer: -1231, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -577894 divided by -1347.\nAnswer: 577894\/1347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 5 - 4)*(814*t**2 + 570*t**2 - 998*t**2) - t**2 - t**2 + 6*t**2 in the form q*t**2 + s*t + l and give q.\nAnswer: -5014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3069 - -3148. Calculate the greatest common factor of 6162 and b.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xaxwxxwxxawwx. Give prob of picking 3 a and 1 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -139 + 144. Suppose 4*i - 5*b = 1827, 0 = 4*b + b - w. Round i to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 12 = -i. Let v(h) = -h**2 - 4*h - 3. Let z be v(i). Solve z = -2*g + 4*w + 22, w + 9 = 5*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2318 take away -192991?\nAnswer: 195309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33183 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49683.186308 + -49683. Let y = 0.186 - c. Round y to 5 dps.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 108.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 + -98. Suppose -92 = -4*g + 2*g. Let x = n + g. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-8) - (1*2 + (-1449)\/644). Which is the fourth smallest value? (a) -4 (b) u (c) 3\/4 (d) 122 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17214\/855 + 1\/(-15)*2. Calculate the greatest common divisor of 1300 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 8*y**5\/5 - 11*y**3\/3 - 10. Find the third derivative of h(c) wrt c.\nAnswer: 192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*f + 36 = 0, 10*w - 5*w + 63 = -f. Let m be w*1\/8*-43. Is 1\/2 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(4 - 6 + 0)*(2 + 1 - 5)*((-2*v**2 + v**3 + 2*v**2)*(-9*v**2 - 4*v + 4*v) + 0*v**5 + v**5 - 3*v**5 - v**5 + v**5 - 4*v**5).\nAnswer: -60*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -6.4.\nAnswer: 2.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -150490204\/7 less than -21498601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 12*l**2 - l - 2. List the prime factors of t(-11).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7811, 1, 146, 0 in descending order.\nAnswer: 7811, 146, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1 + 5\/(-15)*-33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 34*w + 40 - 53.\nAnswer: -34*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1345*j + 149. Suppose -3*u + 5*t - 83 = 0, -u - 3*t = -5*t + 29. Is q(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 5)*(-4*m + 0*m + 2*m) - m - 2*m - 12*m)*(5 + 1 - 5).\nAnswer: -19*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1274717 and 17.\nAnswer: 21670189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - ((sqrt(108)\/sqrt(4) + sqrt(27))\/sqrt(9) - sqrt(3)) - (sqrt(3) + -1)*4 - (sqrt(81)\/(-1*sqrt(9)))\/sqrt(3).\nAnswer: -3*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, 22, 48, 54, 34?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*n = 17, 4*b - 1 = -6*n + n. Suppose z + b = 0, 3*z - 4*z - 244 = -2*p. Does 32 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -902 - -70. Let v = a - -1452. What are the prime factors of v?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20022 (base 3) to base 9.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5712 and 1157904?\nAnswer: 8105328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 18876180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Convert 8084.108l to millilitres.\nAnswer: 8084108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -3, 2*r = 3*r + 4*h - 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 20*i + 36. Let s be h(18). Suppose 15*m + 26 - 221 = s. Calculate the remainder when 32 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**2 - g. Let x(u) = -8*u**2 + 2*u - 3. Determine 3*s(k) + x(k).\nAnswer: k**2 - k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413748?\nAnswer: 2, 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7802 - 7801.839951. What is f rounded to 3 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - -48*(-4)\/3. Let h = -115 - r. Let q = h + 100. List the prime factors of q.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4 = 5*d - 21, -32 = -5*v + 2*d. Suppose -v*j + 125 = -j. What is the remainder when j is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -2 - 5) + 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjbvyqujjyyybybj. Give prob of picking 1 j and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*l**2*p**3 - 2*l**2*p**2 + 27266*l*p**2 - 5794*p**3 wrt p?\nAnswer: 120*l**2 - 34764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 6 = -18. Let q be ((3 - a) + 3)\/(-1). Suppose 4*h + 59 - 247 = q. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 557, -4 in descending order.\nAnswer: 557, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4980033699 to the power of 1\/3, to the nearest integer?\nAnswer: 1708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257857 is divided by 249824?\nAnswer: 8033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 0 (c) 5 (d) 44778\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 11:13 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -9 (b) -32 (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 + -22 + -1 + 6 + 5806 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 56245.831118.\nAnswer: 56244.831118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 119, -17 in descending order.\nAnswer: 119, -8, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -440454 * 0.5\nAnswer: -220227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 1579470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/729 (b) 2\/11 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/2)\/p*p**(1\/7)*p**(-1\/2)\/(p**4*p))**(3\/8) assuming p is positive.\nAnswer: p**(-165\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 14 - 321117*i + 335349*i - 14. Let a(y) = 2*y**2. Determine z(a(o)).\nAnswer: 28464*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*w - 18*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*x**4 - 1790*x**2 + 54242*x wrt x?\nAnswer: -612*x**2 - 3580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 1. Suppose 0 = -5*k + 2*g - 5, -6*k + 4*k + g = 3. Let f be m(k). Let p(i) = -i**2 - i + 20. Let n be p(-5). Solve f*v + v = n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56 + 168*a**4 - 4*a**2 - 91*a**4 + 3*a**2 + 10*a**3 - 80*a**4 as w*a + f*a**3 + c + j*a**4 + x*a**2 and give c.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 580081 to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 662 and 12.\nAnswer: 3972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5024)\/(-13188))\/(72\/42).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 20271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -121, -316, -521, -742, -985, -1256?\n\"Answer: -n**3 + n**2 - 191*n + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/1 + 143\/(-39)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36507273 - -65457265. Suppose m = -5*y - 3*m + q, m = 2*y - 11580002. What is y rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/8*(-16)\/30.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5995093339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -17924 divided by 10879\nAnswer: -17924\/10879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 122\/9, 2\/19, -1\/17?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - -145. What is the remainder when l is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 998*b + 1028*b + 86447 - 21615 = 0 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*b = 1231495 + 2199415. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 50. Suppose 2*y + 0*j + c = -5*j, -3*j = 9. Suppose y*u - u + 19 = 0. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17000 and 9623000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 5821*q**5\/5 - 3920*q**3\/3 + 6574. What is the third derivative of t(w) wrt w?\nAnswer: 139704*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19967360.\nAnswer: 2, 5, 7, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 + 14*j. Let d(x) = -12005*x. What is h(d(y))?\nAnswer: -288240050*y**2 - 168070*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 63, 177, 277, 357, 411?\n\"Answer: -w**3 - w**2 + 124*w - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-72) + 4\/(-3) + 1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 320\/11 or 100508?\nAnswer: 320\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 149483787 and -0.3.\nAnswer: -44845136.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3805 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -182*o**2 + 756*o + 30. What is s(4)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -382e?\nAnswer: -3833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 190 + (-8 - -17) - (-1)\/(-1). Is 14 a factor of w\/(-5 + 4 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 20 = 4*n - 4*m, -26 = -4*n + 2*m. Calculate the smallest common multiple of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s**3 + 2*s**2 - 7*s - 8. Calculate g(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -98 - 8?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 976647 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 + 45 - 37 + 0*i**2. Let v(h) = 2*h**2 + 4. Give -3*b(u) + 5*v(u).\nAnswer: u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 5 + 3 + -20. Let x be (-6)\/y + (-56)\/90. Which is the nearest to 2\/5? (a) 0.1 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 30 = 2*l, 3 + 5 = -4*z. Is (3\/(-1) - -1) + l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -4*g**3\/3 - 7. Let r(n) = -4*n. Determine a(r(s)).\nAnswer: -64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 = -32. Suppose 5*a = 81 + 44. Suppose 0 = -5*f + a, -2*n + 5*f + 6 = -3. What is the remainder when i is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = 48 + 85. What is the third smallest value in -3, 2\/21, v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = 4*z - 1060. Suppose -5*j - 18 + z = 0. Let s be 376\/j + 2\/8. Solve -6*w + 2*w = -s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 305 + -305.00553. Round v to 4 dps.\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 9*u**2 - 6*u - 25. Is s(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*h + 1 - 10*h + 1)*(-2 - 1 + 1).\nAnswer: -4*h - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1300)*-1*-4 - sqrt(1300))**2*6.\nAnswer: 351000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*n + 5*n = 610. Sort n, 2, 4 in ascending order.\nAnswer: 2, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-815)\/1141)\/((-16)\/(-14))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 50*j**2 - 2*j + 15372. Is 84 a factor of b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 7:42 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3006 - -21046\/7. Let q = -14 + 14.3. What is the nearest to q in t, -7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22 (b) -5 (c) -4 (d) -2 (e) -0.1 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/3, -41, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/18)\/o)\/o*o)**(-48)*o\/(o*o*o*o**30*o*o*o)*(o*o*o**(-4\/13))\/o assuming o is positive.\nAnswer: o**(430\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-30)*a)\/a**(2\/17))\/((a*a*a**23)\/(a\/(a\/a**(-1\/5)))) assuming a is positive.\nAnswer: a**(-4617\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.031 - 2.1. Let j = -0.431 + b. Put 5, j, 0.1 in ascending order.\nAnswer: j, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 20*q**2 - 14*q + 23. Suppose l + u = 3, 0 = -5*u + 20 - 35. Let m(c) = -7*c**2 + 5*c - 8. Give l*v(g) + 17*m(g).\nAnswer: g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -513342537825 - 2*a**3 + 513342537825.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144215 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/683 - 194\/111329. What is the common denominator of y and 77\/8?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 20. Let o(g) = -g**3 + 4*g**2 + 8*g - 10. Let q be o(4). Let r be j(q). Solve -r*k - k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f - 15 = 18*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 175170623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Suppose 4 = 2*r, 0 = 3*g - j*r - 1 - 1. What is the third derivative of 2*y - 2*y**3 + 5*y**3 - g*y + 2*y**2 wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (666\/4 - -2)\/((-19)\/(-38))?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 92 = 2*p, 3*v - 29 = -p - 8. Solve -q - 21 = 4*y - p, 5*q - 5 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (45\/18)\/((-2)\/(-4)). Suppose h = -2*v - 4*h + 67, 0 = g*h - 25. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -156.04 + 156. What is c rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from vvvvvvvyvvvvyvvvvv?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + q**2 + q + 1. Let i(b) = -10*b**3 + b. Let f(r) = -a(r) - i(r). What is f(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 348457?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 406 = t - 14. Let g(p) = -117*p + 5. Let w be g(2). Let o = w + t. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/2 + 2 + 49\/70. What is the third biggest value in -13, -4, v?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3764550?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20922*13\nAnswer: 271986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 20*c - 150. Let f be x(12). List the prime factors of f\/105 - (-2829)\/7.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/5*-2)\/(3\/((-9)\/6)))\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 3, j: 11}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 + 125*q**2 - 80*q - 1079. What is l(-63)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11935701?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -17. Let g be x\/(-6) + (-682)\/(-33). Let u be ((-2)\/(-10))\/(g\/(-50)). What is the closest to -1 in u, 5, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -207456.3455 - -206560.346141. Let i = 896 + q. What is i rounded to 5 dps?\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37540730?\nAnswer: 2, 5, 907, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -244 and -243.4?\nAnswer: 59389.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-549*v + 136*v + 60*v)*(-3*v + v + v) to r*v**2 + b*v + l and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -i - 24 - 42, -2*i = 4*d - 50. Let l(w) = w**3 - 8*w**2 - 10*w + 10. Let h be l(9). Let v = h - 0. Solve -4*f + d = v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**5\/3 - 50*t**4\/3 + 2*t**3 + 146*t**2\/3 - 100*t\/3 = 0.\nAnswer: -25, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -29. Let r(c) = c**3 - 17*c**2 + 15*c + 21. Let a be r(16). Suppose -a*b + v = b. Solve 16 = 2*m + b*n, -6*m - 6 = -m + n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 i, 1 e, and 1 u when four letters picked without replacement from {e: 1, h: 1, m: 3, j: 1, u: 2, i: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -111423 (base 5) to base 10\nAnswer: -3988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 10 = -2*p, 213*h - 15 = p + 217*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -279080 divided by -5\nAnswer: 55816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 + 1 + -74 + 28.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 16. Let p = 5521\/13 + -425. Let l = -9 - -9.3. Put l, v, p in descending order.\nAnswer: l, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 5) to base 6\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.445979 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + z - 19*z - 5*z.\nAnswer: -27*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -8*o**5 + 2924*o**4 + 22244*o**3 + 50668*o**2 + 22452*o - 26856 = 0.\nAnswer: -3, -2, 1\/2, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 593, 1185, 1777, 2369, 2961?\n\"Answer: 592*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4*o - 1 - 3, 0 = i + 5*o + 37. Let w be i\/60 + (-42)\/(-10). Solve -z = 5*a + 15 + 3, -21 = 3*z + w*a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 147 and -0.3?\nAnswer: -44.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 443, 885, 1327, 1769?\nAnswer: 2211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 225152 and 11.\nAnswer: 2476672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59.15 * -0.02.\nAnswer: -1.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5235 is divided by 761?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agkigggygyaay. Give prob of picking 1 k and 2 y.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 151.2 - 151. Suppose 3*v - 1 - 8 = -2*t, 0 = v + 5*t + 10. What is the biggest value in v, 2, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 6*f**2 - 10*f + 24. Give u(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 28054940?\nAnswer: 84164820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 16*q + 2. Let a be k(2). Let n be 15002\/221 - (-2)\/17. Suppose -721*h - n = -722*h. What is the highest common divisor of h and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0087407 to four dps.\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 0.00923?\nAnswer: 0.00923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -16*g - 77. Let z be -75*11\/(-110)*(-4)\/6. Let l be s(z). Factor -3\/7*t**4 + 0*t**l + 0*t + 3\/7*t**2 + 0.\nAnswer: -3*t**2*(t - 1)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amkgkgumumkguumqggg. What is prob of sequence ma?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-100) + 26936\/(-520)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 1)\/(-1)*142\/(-17466)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-132)\/440)\/(36\/(-160)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/4 + 9*z**3\/2 + 135*z**2\/4 + 54*z.\nAnswer: -z*(z - 24)*(z + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 2*j - 1\/25*j**5 + 4\/5*j**3 + 36\/5*j**2 + 3 + 1\/75*j**6 - 11\/30*j**4. Factor p(r).\nAnswer: 2*(r - 3)**2*(r + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1439851274.\nAnswer: 2, 19, 37890823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 268 = -5*b + 70, -4*b = 2*s - 222. What is the remainder when s is divided by 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 95417457 or 95417456?\nAnswer: 95417457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**6\/225 - n**5\/30 + 7*n**4\/30 - 23*n**3\/45 + 8*n**2\/15 - 118*n. Factor p(r).\nAnswer: -2*(r - 1)**3*(r + 8)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.5119 times 16\nAnswer: -72.1904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1409054704 to the power of 1\/4, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 253\/4 - 1221\/20. Put 30, -4, o in increasing order.\nAnswer: -4, o, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(48)*-2).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + (-710 - -720).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1103 + 332. Suppose 0 = -5*z - 3*x + g, -2*x + 3*x - 1425 = -5*z. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 5*i + 17. Is f(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a kilometer in meters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3398, 6793, 10184, 13571, 16954, 20333, 23708?\nAnswer: 27079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1619*197673\nAnswer: 320032587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 0*t**2 + 3*t**2)*(5*t - 5*t - t) - 4*t**2 + 4*t**2 - 6*t**3 - t**2 + 3*t**3 - t**3 - t**2.\nAnswer: -3*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1204593\/11 or 109507?\nAnswer: 1204593\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = a + a - 4, -3*a = -2*b - 16. Let k be 15693\/44*b\/(-45). Let g = -52\/165 - k. Find the common denominator of -115\/6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:43 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 345\/6*(-3)\/(-105) and 0 - 243\/(-30) - -1.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 15*w + 5. Is f(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 366.09 and -0.5.\nAnswer: -183.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 - 2*s + 2. Let i = -6 - -10. Let l(o) = 4*o**2 + o - 2. Let x(k) = i*l(k) + 3*u(k). Is x(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*g = -4*m + 4, 2 = m - 2*g. Solve 4 = -3*c - m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22263738?\nAnswer: 2, 3, 7, 41, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11147, -11170, -11205, -11258, -11335, -11442?\nAnswer: -11585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -15. Suppose -3*p = g*v - 16, 5*p - v = 3*p - 11. Let y(u) = u - 4. Let q(l) = l - 5 - 3 + 3. Give p*y(f) + 2*q(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20698191?\nAnswer: 3, 223, 10313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 79*x - 2531. Determine c(32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from yjjhhjjhjjjhy?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 512911839?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*c + 9*c - c**3 + (2*c**3 + 2*c**3 - 3*c**3)*(-2 + 3 - 3) + c**3 + 0*c**3 - 4*c**3 + 3*c**3 + 0*c**3 - 10*c**3.\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*c**3*f + 897193792*c**3 + 586*c**2*f + 305*c*f + f with respect to f.\nAnswer: 6*c**3 + 586*c**2 + 305*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128 and 160.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fiifuiuuuiiufufifiui. Give prob of picking 1 f and 3 i.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 179 (b) -14.26 (c) 0 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 655\/9 - 73. Let m be (6\/10)\/((-1)\/(-5)). Let v = -100929 + 100934. Which is the second smallest value? (a) z (b) m (c) 0.3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2127806 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 0*o**2 + 2*o**2)*(657 - 268 - 183) + 4*o**2 - 2*o**2 - 4*o**2 + (-2*o**2 + 4 - 4)*(2 - 3 + 2).\nAnswer: 202*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1540413880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*z**3 - 34*z**2 + 19*z**2 + 15*z**2 + 49126*z**3.\nAnswer: 49045*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 233798 by 116899.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 1. Let w(s) = 4*s**3 - 2*s**2 - s - 2. Let c(l) = -6*a(l) - 2*w(l). List the prime factors of c(-3).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 10 = -4*y, 0*o = y + o - 1. Let l be y\/(-6)*6\/8. Which is the nearest to 2? (a) 0 (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l - 6. Let m be n(4). Let z be 7 + 1\/2*m. Is 22 a factor of (2 + 236\/z)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23656 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = -3*h - 2*z + 12*z, 56*z + 54 = -11*h + 57*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.09072888 rounded to four decimal places?\nAnswer: -0.0907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-58 + 29 + 25)\/(-1). Let w(r) = 21*r + 2. Let d be w(2). Sort 1, d, o, 5 in increasing order.\nAnswer: 1, o, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 63*r**2 + 1099*r + 5694. What is w(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -64, -432, -1440, -3412, -6672?\n\"Answer: -54*j**3 + 4*j**2 - 2*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1561*p - 1181. What is the tens digit of g(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8*k. Let o(r) be the second derivative of 0*r**2 + 0 + 2\/3*r**3 + 5*r. Calculate o(q(h)).\nAnswer: 32*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2882363.999972 + -2882359. Let i = 5 - r. What is i rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7228709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -15 - (-17 + -4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(19) - (sqrt(76) + 1) - sqrt(190)\/((sqrt(20)*1)\/sqrt(2)))*1.\nAnswer: -5*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 9*n + 3. Let x be w(-9). Suppose x*f - 29 = 4*j, 2*j + 33 = 5*f + 3*j. Suppose 3*t - f*t = -68. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 543958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f. Let n(q) = 2*q + 61. Calculate n(d(m)).\nAnswer: -10*m + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0 = -8. Suppose 0 = 16*z + 22 + 22 + 4. Let n(k) = k**3 - 3*k**2 + 2. Let o be n(3). Put o, z, u in descending order.\nAnswer: o, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from enteeooy?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 566*q**3*t*z**2 - q**3*z**2 + 2*q**3 - q*t + 4*q + t*z wrt z.\nAnswer: 1132*q**3*t*z - 2*q**3*z + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127 + -121. Solve 5*a + l = 3*v, -a + 0*v + 10 = 5*v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -27, 32, 123, -2, 1 in descending order.\nAnswer: 123, 32, 2, 1, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21202 divided by 31?\nAnswer: -21202\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4.2*0.073\nAnswer: -0.3066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4817995290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 64881517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqqh when four letters picked without replacement from hhqohtvthhvttoqthq?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582906 is divided by 249?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 435682347 and 2748?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 0.04908?\nAnswer: 0.04908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*a - 4*a - 4, 2*a = 3*v - 5. Let r be v\/(0 + -1) - (-3)\/1. Calculate the highest common factor of 18 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 178882*j - 4293176. What is o(24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-1 + -1) - (52 - 51)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207, 1513, 5055, 11949, 23311, 40257, 63903?\nAnswer: 95365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 45. Suppose 32 = 3*c + 4*u - 2*u, 0 = -3*c - 5*u + 35. Suppose 0 = 2*p - 8 - c. What is the greatest common divisor of h and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -1387*c**6\/40 - c**5\/12 + 2*c**4\/3 + c**3\/2 + 166*c**2 - 6. What is the third derivative of r(g) wrt g?\nAnswer: -24966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -549834848 by 496.\nAnswer: -1108538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + l**2 - 8*l + 14. Let o be a(-7). Suppose u - 210 = 4*w, 4*u - o = -w + 327. What are the prime factors of ((-10)\/6)\/((-6)\/u)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -0.00957689\nAnswer: 0.06703823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(280)\/(sqrt(8)*-3 - sqrt(8)))\/(sqrt(30)\/sqrt(54)).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, q: 3, y: 5}. What is prob of picking 2 z?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 k when three letters picked without replacement from zmkzzzkmmfmkkff?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5*5832.\nAnswer: -8748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2154, -2182, -2258, -2406, -2650, -3014?\nAnswer: -3522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.52598 + -0.47302. Let j = p + 19. What is j rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 15*z - 32. Let w be 9\/7 - 7*6\/147. Let i be (-3)\/(-15) - ((-182)\/(-10) - w). Let m be r(i). Solve s = -m*s - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**5\/2 - 161*l**4\/2 + 7551*l**3\/2 - 76527*l**2\/2 - 205416*l - 163296 = 0.\nAnswer: -3, -1, 21, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**5 + 3620*c**4 - 73670*c**3 + 540820*c**2 - 1708575*c + 1953000 = 0.\nAnswer: -744, 3, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 41ed34d?\nAnswer: -41ed352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-4)*3*-6. Suppose -4*m + 283 = -365. Suppose 16*g - m = 10*g. Calculate the highest common divisor of g and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10110 + -1?\nAnswer: 10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcdf when four letters picked without replacement from {c: 9, d: 1, f: 1, j: 5}?\nAnswer: 3\/2912","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105 + -111. Let g be 168\/(-140)*(-2)\/c*-80. Calculate the greatest common divisor of g and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13997 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x**3 + 3*x**2 + 3*x. Let v(u) = -14*u**3 + 7*u**2 + 7*u. Suppose -7968*a - 371 = -8021*a. Determine a*o(l) - 3*v(l).\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5 + 0*p**2 - 2*p - p**2 - 2*p. Let s(v) = -v**2 + 6*v + 3. Let n be s(7). Let d be n\/18 - (-258)\/(-54). Give y(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4896, -3837, -2778, -1719?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55309 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -43143*-77\nAnswer: 3322011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 3*p + 11)*(3*p + 2*p - 6*p)*(11*p + 7*p - 25*p).\nAnswer: -21*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + -48. Let r(p) be the first derivative of -p - 1\/2*p**2 + 7\/2*p**o + 2*p**3 + 1\/2*p**6 + 2 + 11\/5*p**5. What is m in r(m) = 0?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d + 14. Let y be v(7). Suppose -3*h - 4*g = 16 - 84, y = -3*g + 15. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 145509*i**3*p - 542*i**3 - i**2 + 3 wrt p?\nAnswer: 145509*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 92186.69 centuries?\nAnswer: 921866.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2625856 and 3872.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(81)\/sqrt(3))\/sqrt(9)*-3 + 0 + (sqrt(3) + -1)*-5))**2.\nAnswer: -80*sqrt(3) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u = 17*u + 9*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -106cd18 (base 15) to base 13\nAnswer: -257c876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1091 - 2187 + 1096 - 1167*w as r + v*w and give v.\nAnswer: -1167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 19. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1830 + 12864\/7. Let -3\/7*f**5 - 9\/7 - 39\/7*f - 66\/7*f**2 - 3*f**4 - h*f**3 = 0. What is f?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 103 + 303. Let q = -5 - a. Let g be 2\/(-8) + q\/(-12). What is the smallest value in 1, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19216.3 - 19216. Let v = -16 - -10. Let k(h) = h**2 + 8*h + 9. Let q be k(v). Which is the third smallest value? (a) s (b) 1\/4 (c) -5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2 + 13. What is the remainder when 9 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/559874 and -149\/14210.\nAnswer: 2799370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-111)\/(-148) - (-618)\/8. Find the first derivative of 15 + 52*k - 11 + y*k wrt k.\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(1\/8))\/(o*o**(-1)))**(-42) assuming o is positive.\nAnswer: o**(-357\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/11)*g*g*g**(-4))\/(g**2\/g)**30)\/((g*g**1)**(-2\/85)\/(g**1)**7) assuming g is positive.\nAnswer: g**(-23161\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4892446 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.37 (b) 2 (c) -5 (d) -90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -174, -10, -44 in increasing order.\nAnswer: -174, -44, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.15? (a) -0.022163 (b) 2\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -g - 39. What is the remainder when 12*((-4)\/(-2) - 0) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t + 3. Let j be s(-2). Suppose y + 31 = -5*z + 8*z, -1 = 2*z - 5*y. Suppose 5*r + z = j*r. Solve -4*n + 5*p = r, 3*n + 2*p = 6*p - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*x + 11*x - 9*x)*(4 - 2 - 3)*(-3 + 1 + 3) as v + u*x and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 214271 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 19. Let r be y\/42 - 38\/(-14). Find the first derivative of 1 + 0*h**3 + h**r - 5*h**3 wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32535*c**4 - 12823 wrt c.\nAnswer: 130140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 1. Suppose -3*c + 4*k + 20 = -7, d*c - 2*k = 33. Calculate the remainder when 24 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tfttatkqfttfkkkktq. What is prob of picking 1 a, 1 q, and 1 t?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(133) - sqrt(133)*1)*-1 + (sqrt(133) - sqrt(133)*-1)*5)\/((sqrt(21)\/sqrt(3) + sqrt(7))*-1 + (sqrt(35)*1)\/sqrt(5)))**2.\nAnswer: 100*sqrt(19) + 1925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -5. What is the third biggest value in -1, k, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 4795.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(2 - (-22)\/(-12)). Let a(u) = 4*u**2 - 3*u - 2. Let i(l) = l**2 - l - 1. Give o*i(k) - 2*a(k).\nAnswer: -2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-4)*((-6)\/(-9) + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -7. Let j = 17 + c. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1392 and 5742?\nAnswer: 45936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 292*b + 11. Let i be h(3). Suppose -12*r = -i - 697. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-5 - -13)) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 3 + -1*(-7 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.9969 times 222?\nAnswer: -2663.3118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5468984935.\nAnswer: 5, 53, 20637679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15178 = -29*m - 1867. What is the highest common divisor of 323 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (360\/432)\/(115\/(-46)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1762858*r + 561. Is a(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g + 1 - 1 - 1.\nAnswer: -9*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6563 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42.91077 - -389.93867. Let k = f - 347. Round k to 3 decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 plus 33062?\nAnswer: 33053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000553588787 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -110*u**2 + 112*u**2 + 332 + 115 in the form b + h*u + d*u**2 and give b.\nAnswer: 447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109281?\nAnswer: 3, 73, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1202\/3 + -402. Which is smaller: f or 40?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t. Suppose 0*o + o - 7 = 0. Let d(x) = 2*x. Let u(w) = o*d(w) - 6*c(w). Let i(r) = 2*r. Determine u(i(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -996597 less than -996596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -270 + 354. Let g = z - 82. What is the closest to 0.1 in g, -0.3, -0.5, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y**2 + 9*y + 16. Let d(v) = -5*v**2 + 8*v + 17. Let k(n) = 3*c(n) - 4*d(n). What are the prime factors of k(7)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 3*w + 33 = 0, 0 = -27*l + 25*l - 3*w - 24 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3902 and 3.2?\nAnswer: -4.44864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*g. Determine w so that -16*w + g*w**3 - 4*w**3 + 20*w = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -638, -1277, -1916, -2555, -3194, -3833?\n\"Answer: -639*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 4*g**2 + 4*g. Let d be o(-3). Let s = 3 - d. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15902 and 18?\nAnswer: 143118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10423400 - -1130?\nAnswer: -10422220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.06990254, 0.5, 0.2?\nAnswer: 0.06990254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1842 - -1842.000983. What is v rounded to five decimal places?\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.1 + -863.\nAnswer: -880.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -166, -51, 0, 3, 5, -2, 4 in increasing order.\nAnswer: -166, -51, -2, 0, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 305084486011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 9:47 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.533 + -0.007. Let y = -2.8 + c. What is y rounded to 1 decimal place?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rri when three letters picked without replacement from {r: 7, i: 4}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26230233*v**3 + 24*v + 139763 wrt v?\nAnswer: -157381398*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32602 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, q: 2, s: 1, o: 1, v: 1}. What is prob of sequence yq?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 356462957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 7) in base 6?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 0.4 (b) 0.5 (c) -0.4 (d) 11079 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -6, -7\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -11 + 2 + 9 - 14*g. Let k(j) = 2*j**2. Calculate l(k(m)).\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + g - 1. Let t(b) = -32*b**3 - 40*b + 40. What is -80*l(w) - 2*t(w)?\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 11*b**4\/12 + b**3\/3 + 4*b**2 - b. Let d(y) = -4*y**2 - y - 3. Let s be (20\/(-5))\/(2 + 15\/(-6)). Calculate s*d(p) + 3*q(p).\nAnswer: p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + 2*h - 3*h - 3*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 109576844 to the power of 1\/3, to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 262 + -140. Suppose w = 5*m - 178. Suppose 0 = p - m + 20. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226862 is divided by 926?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 9 - 20 = -2*l, -5*l = -3*x - 57. What is the remainder when 42 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10776349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + -4 - (-19 - 10 - -23)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 0. Let j = 55.4 + f. Let y = j + -13.399894. What is y rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6 + 8*t - 7*t + 6*t - t**2. Suppose q - 2*v - 3 = 0, 4*q = -v - 2*v + 23. Calculate w(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.913392 and -4.\nAnswer: -15.653568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/8 - 15*u\/8 + 13\/4.\nAnswer: (u - 13)*(u - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03389 rounded to three dps?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3483 and 1419?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 432 and 10908.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.055, -1, 0.4 in decreasing order.\nAnswer: 0.4, 0.055, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 51*d**2 - 76*d - 1390. Determine r(-50).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -54, -49945, 2?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6514751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -242*x**3 - x**2 + x. Let c be l(1). Let s = -374 - c. Is 2 a factor of ((-2)\/(-4))\/((-11)\/s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4771 + -1600. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - (-5 + -1) - 17666*-3. What is a rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/(-12) + 2*1. Suppose 5*u - 2*g + 0*g - 35 = 0, 4*u + g - 15 = 0. Let a be -11 + 10 + 7\/u. Is w bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453963*r**3 + 867*r**2 - 867*r**2.\nAnswer: 453963*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/4)\/((-9)\/(-42)). Let o = 11 - j. Calculate the smallest common multiple of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/9 (b) 294 (c) -0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -112*s**2. Let p(q) = -3*q. Determine p(v(l)).\nAnswer: 336*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/192 and 53\/703182.\nAnswer: 22501824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3324 (base 9) to base 15.\nAnswer: -ad7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4772 divide 1239655869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153935022 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5525956451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2625 times 0.06372\nAnswer: -167.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-36)*((-10)\/(-9))\/(539\/693)\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**5\/20 - p**4\/4 + 4*p**3\/3 + 7*p**2. Let k(v) be the first derivative of d(v). List the prime factors of k(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 604?\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/((-1)\/1))\/(-1))\/(5821\/122241)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-1)\/(-4) - (-4)\/(-2). Let f(n) = -n - 3. Let v be f(-4). Sort y, 5, v in decreasing order.\nAnswer: 5, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 647\/2556 - 2\/639. Which is the nearest to -0.032? (a) -6 (b) j (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/8)\/(p*p**5*p)*((p*p*p*p**(1\/7)*p)\/p)**45 assuming p is positive.\nAnswer: p**(7521\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**2 - 701*n + 698 = 0?\nAnswer: 1, 698\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -56171 at least as big as -56171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 6 - 3)*(1 - 5 + 3) + (-2 + 2 + 2)*(0 - 4 + 3) - 4 - 2 + 4)*(-1 - 2 + 1 + (1 - 2 - 1)*(-39 - 26 + 7))*(-l**3 + l**3 - l**3).\nAnswer: 570*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from ggirpxrggpxgrgpr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 85?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26649 = -57*g + 100350. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 3475667?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 5*t - 5*u = -2, t - 3*u = 18. Let i be t\/9 - (-6)\/9. Let f = 5 + -2. Solve f + 1 = -i*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-three eighths of a litre?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6b1a + -2?\nAnswer: 6b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1078)\/308)\/((-2044)\/16)?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) - 658\/(-42) - 2. Let r = k + -41\/3. Let p = 13.01 - 0.01. What is the smallest value in p, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u. Let l(f) = -6712473*f**2. Give t(l(p)).\nAnswer: 20137419*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1112.853 to the nearest integer.\nAnswer: -1113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q**5 + 3484*q**4\/3 - 8012*q**3\/3 - 3028*q**2 + 792*q = 0 for q.\nAnswer: -99, -1, 0, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/9)\/((-2)\/4). Let q = 1210 - 10906\/9. Let d = q + o. Which is the closest to d? (a) 2 (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 875280014 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -328805, -328819, -328833, -328847?\n\"Answer: -14*p - 328791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -46, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 11 + 11 = 0. Let w(n) = -4 + 2 + i + 4*n - 3*n. Let j be (2\/(-4)*0)\/(-2). Give w(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y - 7\/4 - 1\/4*y**2 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9213.873ng in milligrams?\nAnswer: 0.009213873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h + 1. Let v be y(-4). Solve -v - 21 = 3*n - 5*a, 2*n = 4*a - 22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j**2 + 40*j + 10. Let r be u(5). Solve -c - x = 7, 2*c - r = 2*x - 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5211419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**3\/6 - 100*s**2\/3 + 5546*s\/3 - 17672 = 0 for s.\nAnswer: 12, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -169091300 rounded to the nearest 100000?\nAnswer: -169100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 149*z - 151*z - 4*z**2 + 0*z**2 + (-2 + 0 - 1)*(-z**2 + 5*z**2 + 0*z**2) as p*z + r*z**2 + m and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 18 = -3*d + 6, 0 = d + 4*s - 19. Let t(u) = -d*u - 3 - 4 + 3 + 5. Give t(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + 328 + 335 - 998 + 334.\nAnswer: -6*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2408 + 0.1?\nAnswer: 2408.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - j - 17. Let f = j + 20. Let g = f + 10. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 199\/224 + -1\/32. Let j = -0.2661 - -0.5661. Which is the third smallest value? (a) 2 (b) m (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 + 150*j**2 - 32*j - 2315. Calculate z(-75).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 3\/5, -25, 6, 15\/4.\nAnswer: -25, -1, 3\/5, 2, 15\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -102, -235, -412?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 6 = -4*i, -i + 1497 - 1496 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*r - 29*r + 190 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0155182 to 4 decimal places.\nAnswer: -0.0155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15105 is divided by 134?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 203544 and 995104.\nAnswer: 8955936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 + 5*w**2. Let p(k) = -4*k**3 - 10*k**2. Let z be 6 + 22*1\/(-2). Calculate z*c(q) - 2*p(q).\nAnswer: -2*q**3 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, 3, 4, -24, 0 in decreasing order.\nAnswer: 11, 5, 4, 3, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3481*b*x**6 - b*x**2 + 7*x**2 + 65*x - 2 wrt x.\nAnswer: -417720*b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -690*m**3 + 0*m + 347*m**3 + 0*m + 296*m**3.\nAnswer: -47*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/13 and -33\/2587?\nAnswer: 2587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61709, 61680, 61651, 61622, 61593, 61564?\nAnswer: 61535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - 8 - 12*t**2 + 22*t**2 + 6*t - 11*t**2. What is x(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -555*b - 5602. Determine f(-10).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17838 + -17837. Which is the nearest to m? (a) -1\/2 (b) -2\/19 (c) -526\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6851 + 13115. Is x a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 + -1 - (-65 - -91)) + -59.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 - -92. What is the remainder when 117 is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(576) - 1*sqrt(576)*5) + sqrt(576))\/(2*(sqrt(8) + sqrt(72)\/sqrt(9))*3))**2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*m = 29*m - 28*m - 756 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 57, 112, 183, 276, 397?\n\"Answer: v**3 + 2*v**2 + 42*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 194007.9 litres?\nAnswer: 194007900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**31\/((k*k**(-2\/3))\/k)**(1\/18) assuming k is positive.\nAnswer: k**(838\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h - h - 6*h. Let o = 15 - 13. Let m(u) = 2*u**o - 5*u**2 - 2*u**2. What is g(m(x))?\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -3\/8, -5, 0.2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(-y - y**2 + y)*(25*y - 48*y + 8*y).\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30873 - -1975825\/64. What is the common denominator of d and 97\/32?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (-150)\/35 + 100\/(-42). Let d = j - -13\/6. Is d at least -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -2, 13, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 465.7939 litres?\nAnswer: 465793.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9098*t**3 - 8*t**2 - 27*t wrt t?\nAnswer: 54588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3)\/9)\/(((-797844)\/(-88650) - 4) + -5).\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185918441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 2*c**2 + 0*c**2 - 2*c**2 + c**2 - c**2 + (5*c**2 + c**2 - 4*c**2)*(-2 - 1 + 1) - 2*c**2 + 3*c**2 - 8*c**2)*(15*c - 15*c - 5*c**2).\nAnswer: 75*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 622 + 455. Let x = y + -3553. What is x rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 36*r + 13858. What is the thousands digit of g(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 7. Let p(q) = 47*q + 20. Let u(g) = -28*g - 12. Let c(o) = 3*p(o) + 5*u(o). What is c(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**4 - 2333*c**3 + 21917*c wrt c?\nAnswer: 36*c**2 - 13998*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + sqrt(51)\/sqrt(3)*-3 - (-2*sqrt(1275))\/sqrt(3))**2.\nAnswer: -42*sqrt(17) + 840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -362365, -362367, -362369?\n\"Answer: -2*n - 362363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 998489, 3993984, 8986477, 15975968, 24962457, 35945944, 48926429?\nAnswer: 63903912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooononoononoooojn. Give prob of sequence jo.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162 - (110 + 1 - 69).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 0 - 22*t + 0*t**2 + 1\/14*t**3 - 1\/28*t**4. Factor q(y).\nAnswer: -3*y*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -44, -16, 121 in ascending order.\nAnswer: -44, -16, 2, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420868 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t**4 + 7980*t**3 - 3993*t**3 + 75*t**2 - 3988*t**3 - t**4 + 2 as q*t**4 + b*t**3 + s*t + z + j*t**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 9 + 21 = 0. Let p(l) = -l + 3. Let x be p(a). Suppose 4*u + 2*t - 204 = -2*t, x*t + 25 = 0. What is the remainder when u is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 14 = -4*t, 0 = -5*c + 3*t - 25 + 6. Let y = 178 + -1252\/7. Do c and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-135)\/540 - (0 + 0). What is the biggest value in s, -86, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(156) - (sqrt(156) + -1*sqrt(156)))*-2*-2)\/((sqrt(24) + (sqrt(24) - 5*1*sqrt(24)))\/((sqrt(16) + -2*sqrt(16))\/sqrt(8))) + -2.\nAnswer: -2 + 8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 12:11 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/5 - 28145*c.\nAnswer: -c*(c + 140725)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 426859 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 14*o**2 + 33*o - 8. Let u be n(12). What is the highest common divisor of 20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 3.1. Let m = 0.9 - i. Let u = m + -1.00000032. Round u to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3103333 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4 (b) 1\/3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**2 + 10713*p - 21438 = 0.\nAnswer: -3573, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**6\/24 - q**4\/24 + 8*q**2. Determine t(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2266 by 24596.\nAnswer: 103\/1118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*3.3395989\nAnswer: -1.33583956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 - 2*v**3 + 3*v**3)*(-3*v - v + 3*v) + 1127099*v**2 - 1127099*v**2 + 2695*v**4.\nAnswer: 2694*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 710149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4640 (base 11) to base 8.\nAnswer: 13716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4196 + -0.256. Let n = g - 140.4636. Let b = n - -120. What is b rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m. Let z(q) = -828*q + 368*q - 279*q. Calculate z(o(i)).\nAnswer: 1478*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4568 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38740138?\nAnswer: 2, 53, 365473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 967.302 microseconds to milliseconds.\nAnswer: 0.967302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/((-3)\/(-6) - 0). Solve -4*h + t = -5*y, 3*y = 6*h - h - 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**3*r**3 - 593633*d**3*r**2 + 91*d**2*r**3 + 101*d**2*r - r**3 - 15*r**2 wrt d?\nAnswer: -12*r**3 - 3561798*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 318054071 to the power of 1\/3, to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 20 = -3*m, -2*z - 21 = -5*m. Find the third derivative of -2*l**6 + 2*l**6 - l**z - 2*l**6 wrt l.\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - 1 - (13762\/13783 + 2). Let g = 76839\/31504 - y. Calculate the common denominator of -107\/6 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -124, -140046, -3?\nAnswer: -140046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiihjssgi. Give prob of sequence sgj.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12242565841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102220210120 + -21020?\nAnswer: -102221001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 2364440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89*f**3 - f**2 - 20*f**3 + 3 + 258*f**3 to the form x*f + g*f**3 + c*f**2 + m and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 275*n**2 + n + 124 wrt n?\nAnswer: 550*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - i = -57 + 62, 0 = -j - i + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9 - -10)*((-1)\/(-1) + 3). Suppose -3*m = w - 1343, -w + 1341 = -k*m + 8*m. Let h = 2066 - w. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10580 divided by 46?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9768 divided by -6?\nAnswer: -1628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28\/9 in -7922, 13, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 6*j**2 - 9*j. Suppose 11*f + 6*f = -119. What is s(f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**3 - l**2 - l. Let f be i(-1). Let q be -6 - (f - (2 + 2)). Sort -7, -4, q in descending order.\nAnswer: -4, q, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*h - 3*h**2 + 5 + 3*h**3 - 1 - 46*h - 1 to the form b*h + i + n*h**2 + v*h**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13706, 27469, 41222, 54965, 68698, 82421, 96134?\nAnswer: 109837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -120\/602329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -7*b - 2*i + 20, -4*b = -2*i - 16. Suppose -68 = -b*v - 5*t, 8*v + t - 52 = 4*v. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2) + (-4)\/1. Let t be -1 + 1 + (0 - 20). Let x be (3\/q)\/(5\/t). Solve 0 = -2*a - 2*a + x*b - 26, 4*a + b = -18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998 is divided by 497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**6\/6 - w**5\/2 + 5*w**4\/12 + 5*w**3\/3 - 7*w. Factor u(t).\nAnswer: -5*t*(t - 1)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 16. Suppose -2*x + 74 = 6. Suppose 5*o + 51 = -x. Let y be m(o). Solve -h - y = -3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 224195 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2. Let m(r) = 8*r**2 - 12*r + 311. Let c(s) = 9*s**2 - 14*s + 311. Let w(u) = -6*c(u) + 7*m(u). Calculate g(w(t)).\nAnswer: -8*t**4 - 2488*t**2 - 193442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j + 4 = 23*j + 3*c, -3*c - 12 = -3*j. Put j, 3, 12 in descending order.\nAnswer: 12, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*y**2 + 2\/3*y + 0.\nAnswer: -y*(y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*s - 3 + 17*s**2 + 5*s**2 - 2*s**2 + 2.\nAnswer: 20*s**2 + 55*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 j, and 1 x when three letters picked without replacement from {h: 2, l: 2, x: 1, j: 4, o: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - h - 1. Let j(p) = 63*p**2 + 14*p + 14. Give -j(y) - 14*n(y).\nAnswer: -49*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -24*a - 3. Let q be p(-3). Suppose -39 = -3*s + q. List the prime factors of s\/16 - 2\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 513146?\nAnswer: 513150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.51 + -2.51. What is the nearest to -1 in i, 2, 45?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.127071 + 0.1283. Round q to 5 dps.\nAnswer: 0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 5*n**8\/84 - n**5\/30 + 23*n**2. What is the third derivative of f(p) wrt p?\nAnswer: 1200*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 7. Let v be r(14). Let m(l) = 2*l**3 + 2*l**2 - 3. Let p(x) = 6*x**2 + 6*x**3 - 1 - 3 - 6. Determine v*m(h) - 2*p(h).\nAnswer: 2*h**3 + 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7)*-1)**2) + 3 + (sqrt(7) - sqrt(70)\/(sqrt(40)\/sqrt(4)))**2.\nAnswer: -4 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*n = -580. Let g be (3249\/(-76))\/(15\/40). Let u = g - n. Solve -2*j = -u, 4*j - 24 = -3*w - w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 797469 is divided by 796925?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108002?\nAnswer: 2, 54001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhhz when four letters picked without replacement from {h: 3, z: 11, w: 1}.\nAnswer: 11\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -16c5 (base 14) to base 10\nAnswer: -4093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 5 + sqrt(1872))**2 - ((sqrt(130)*-3)\/sqrt(10))**2.\nAnswer: 240*sqrt(13) + 7396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.0948 or -3366?\nAnswer: -3366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10217 + 5915. Let f = o + 6884. Is (-19 - -19) + -1 + f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*z - 31 = -74 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 4*k + 3*k)*(-3*k + 4*k - 2*k) - 16*k + 1563*k**2 + 26*k - 10*k in the form v + d*k**2 + j*k and give d.\nAnswer: 1562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/1 - (6 - (-4 - -12)). Let k(b) = -4 - 12*b**2 - 17*b**2 + 12*b + 28*b**c. What is the smallest common multiple of 20 and k(10)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -71, -170, -309?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.162 + 0.038. Let x = -0.33 + -0.57. Sort o, x, -2 in decreasing order.\nAnswer: o, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*p - 3 = 0, 0*m + 4*p + 10 = 2*m. Solve m = 5*l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -149677, -299359, -449027, -598681, -748321, -897947, -1047559?\n\"Answer: 7*j**2 - 149703*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/32)\/(10\/(-96))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 0*k - 3*k + 5. Let p(x) = -2*x + 2. Let y(z) = 2*h(z) - 5*p(z). Let q(s) = 3*s - 1 + 1. Give y(q(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*k**4 - 49*k**4 - 1 - 236*k**2 - 9*k**3 + k + 227*k**2 in the form s*k + o*k**3 + a*k**4 + b*k**2 + y and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52 - -54?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-255) + 5*(-10)\/136?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 0*t**3 + 72*t**2 + 0 + 0*t**6 + 0*t**5 + 1\/336*t**8 + 1\/42*t**7 + 0*t + t**4. Find the second derivative of q(k) wrt k.\nAnswer: 20*k**3 + 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233200 (base 6) to base 7\nAnswer: -112530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -113*a**5\/60 + 389*a**3\/6 + 196*a**2. Differentiate b(k) with respect to k.\nAnswer: -226*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 138 = 177. Let w(m) = m**2 - 5*m - 1. Let l be w(11). Which is bigger: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q + 2*q + 6*q**3 - 107 + 107 wrt q.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s - 112. Give p(10).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n = -930 + 1018 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.514012kg in grams?\nAnswer: 514.012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 1 + 16 = 0. Suppose 5*v - m*v = 50. Let u = v - 4. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -305*u**3 + 1 + 3 + u - 291*u**3 + 579*u**3 as x + c*u + o*u**2 + y*u**3 and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2221 (base 3) to base 11\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1953*k - 1052 - 14572 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - g - 34. Let z(t) = t**3 - 23*t**2 - 15*t - 216. Let b be z(24). Calculate n(b).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214, -757, -1650, -2899, -4510, -6489, -8842?\nAnswer: -11575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 41444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794 divided by -6?\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -286095616\/5713 - -50078. Let c = 222787\/57130 - a. Let p = -16365\/8 + 2058. Calculate the common denominator of p and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 7, -2, 0.2, -24.6, -5.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 39\/(-12)) + -1. Let h = a - -1\/4. Solve -h*q**4 + 1\/4*q**3 + 1\/4*q**5 + 0*q + 0 + 0*q**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 g when three letters picked without replacement from gtgtg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(4\/15)*b**(1\/5)*b*b**18*b*b**(3\/2))**(7\/6) assuming b is positive.\nAnswer: b**(4823\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31014 + -53?\nAnswer: -31100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19, -90, -207, -370, -579?\n\"Answer: -23*k**2 - 2*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 4. Let d = 1 + g. Suppose 0 = d*a + a - 6. Solve 4*q = 2*q - a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -248 + 15*p + p**3 - 250 + 519 - 11*p**2. What is r(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13584.99975544 + -13585. What is b rounded to 6 decimal places?\nAnswer: -0.000245","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**3\/7 + 24*x**2\/7 = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7*1\/(-14)*-6. Solve 2*f + 4*p - d = 3*p, -2*f - 5*p + 15 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 372943?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4504 a factor of 7616315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 80 and 0.2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozo when three letters picked without replacement from tzozzozzzzkzttzz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(121) + (sqrt(121) - (sqrt(121) + sqrt(121)*1*-5)))\/sqrt(11) - 2*(1 + -1*sqrt(99))**2.\nAnswer: -204 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2681*z**3 - 1995*z**2. Let p(h) = -5366*h**3 + 3992*h**2. Let n(d) = -5*l(d) - 2*p(d). Find the third derivative of n(x) wrt x.\nAnswer: -16038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4197*d - 30 = -4203*d. Solve -i - 14 = 3*b, -d*b = i - 4 + 28 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*(-5*sqrt(2448) + sqrt(17)) - (sqrt(425) + 0 + 3 + sqrt(425) + 3))**2*1.\nAnswer: -1336*sqrt(17) + 474129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.93*-353494.\nAnswer: 1389231.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 233310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 6*d**2 - 3*d**2 + 3*d**2 + 2*d**2 + d**2 - 4 + 4 + (2 - 2 - 2*d**2)*(-2 + 0 + 1) + d**2 + 1 - 1.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = a + 25, 0 = -5*c - 5*a + 15. Let h be (-54)\/(-10) - c\/(-5). Solve -k + 20 = -h*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -772*i = -289*i - 8723 - 10821 + 6020 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 1, 4360?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -36*y**2 - 15*y + 15. Let c(n) be the third derivative of n**5\/12 + n**4\/12 - n**3\/3 - 18*n**2. What is 30*c(b) + 4*r(b)?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406 = -395*o + 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20511629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -304\/483 - -4\/69. Let d(z) = -3*z**2 - 13*z + 98. Let s be d(4). What is the closest to -5 in b, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -3 (c) 1.2 (d) 22725 (e) -0.22 (f) 0.4 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 11\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*y = -1479506 - 259900. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33\/4 + 1\/2. Let c = 150437\/20 + -7521. Find the common denominator of j and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -7 - 3)*(-3)\/2 + 83. Calculate the greatest common divisor of 112 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 51*i + 69. Let c be t(-4). Let b = 97 - c. List the prime factors of b.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in -3\/8, 98, -3, -3\/7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 12:07 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115015378.\nAnswer: 2, 61, 942749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*k**3 + 40*k**2 - 22*k - 4.\nAnswer: -2*(k - 2)*(k - 1)*(7*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.1 and 780186596411.\nAnswer: 780186596409.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 11, -70 in descending order.\nAnswer: 11, 5, -1, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -5. Let h be 14\/4 - 4\/f. Suppose -h*w + 40 = 4*d, w + w + 28 = 4*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194245 divided by 53.\nAnswer: -3665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/1 + (6 - 1). Let w = x - 3. Let t(d) = -d + 5. What is the units digit of t(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -42*j - 2 - 49*j + 90*j + 3. Let h be (81\/(-3))\/3 + 0. Let u = h - -4. What is g(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 5. Suppose -j*s = -3*s - 40. Let u(y) = -y**3 + 23*y**2 - 42*y + 5. Let d be u(21). Solve -s + 5 = d*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/(-28) + 135\/35. Suppose 23*v - 25*v + 528 = l, -f*v + 4*l = -781. List the prime factors of v.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - -8851)\/(21076 + (-6 - -1)). Let a = -1\/1109 - w. Is 1 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -3\/72547196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2441, 4923, 7403, 9881, 12357, 14831, 17303?\nAnswer: 19773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 16*i**3 - 3*i**2 + 18*i - 82. Is 3 a factor of l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 966409 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 257.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 35*q + 74. Let d be u(-2). Solve 34*z - 31*z + d*f + 7 = 0, 5*z = -4*f - 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + u + 2*u = -32, -t = -2*u - 27. Calculate the remainder when 98 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4385, 17878, 40363, 71840, 112309, 161770?\nAnswer: 220223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 3 + -4)*5. Let g be ((-49)\/(-35))\/(1\/x). Is 6 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 4*v**2 + 8*v - 6. Determine t(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(88)\/((1*sqrt(11) + sqrt(11) - sqrt(11))*5))\/(sqrt(12)\/(sqrt(3) - sqrt(9)\/sqrt(3)*-6)))**2.\nAnswer: 98\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 20*n + 103. Let l be a(-5). Solve -2*s + 6 = 0, 0 = l*c - 8*c - s + 23 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*l + 58*l = 118*l + 20. Solve m = l*w + 5, 2*m + 0 = -2*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-6)*(-12)\/8. Let g(p) = -3*p**3 + p**2 + p. Let c be g(q). Suppose -b = c*b - 36. Calculate the least common multiple of b and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 + 67. Suppose -x = -4*x - 3, -9 = a*v - 5*x. What is the units digit of 15\/(-45) - -116*v\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3668 and 2440268?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101010001000100 + 11?\nAnswer: 101101010001000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -26509560?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i + 3. Let u(n) = n**3 - 11*n**2 - 12*n + 5. Let x be u(12). Suppose -4*w + 9 = -7*w + 5*q, x*w = 4*q - 2. What is f(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from wwwwnn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 567 and 378.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -651 + 463?\nAnswer: -1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -58*l - 3*l**3 - 51*l + 109*l. Let s(t) = 4*t**3. Let g = 20 - 13. Let h = -11 + g. Calculate h*s(d) - 5*j(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153230, 152727, 152224, 151721, 151218?\nAnswer: 150715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121696 and 791024?\nAnswer: 1582048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (22 - (0 + 33))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*u**5 - 5*u + 4*u + 5*u**5 wrt u.\nAnswer: 180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 22, 4, -215, -5 in ascending order.\nAnswer: -215, -5, -2, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 292898 divided by 6\nAnswer: 146449\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x**2 - x**2 + 11*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*c = -15, 0 = -c + 3*c + 8. Calculate the lowest common multiple of q and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**4 + 8*a**3 + 431*a**2 - 17040*a wrt a?\nAnswer: -24*a**2 + 48*a + 862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 1. Let f(a) = -1412*a**2 - 263*a + 4. Let r(q) = -f(q) + 6*m(q). What is the second derivative of r(o) wrt o?\nAnswer: 2848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 605\/3131 + -13\/101. Which is the nearest to -3\/2? (a) w (b) 3\/4 (c) 2 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(15\/(-16)))\/(13\/(780\/(-24))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -10*t - 6135. Let p(s) = 3*s + 2049. Give 7*p(u) + 2*q(u).\nAnswer: u + 2073","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 425342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 246542044 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1370*x + 126*x**2 + 2*x**4 + 1372*x + 2 as r*x**4 + l*x + a + p*x**2 + v*x**3 and give p.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12, -39, -130, -267, -456, -703, -1014?\n\"Answer: -l**3 - 14*l**2 - 2*l + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010202201202 + 11?\nAnswer: -1010202201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -0*b - 6*b. Solve -5*a = -b*s - 15 - 25, 0 = 4*s + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20441209 + 9*i**2 - 20441209.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3031 and 2424367?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -4. Let s = n + -1. Suppose 48 = -s*z + 2*z. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 8*q**2 - 7*q - 13. Let s be d(9). Let w = -3 - -7. Suppose -3*l = w*h - 23, -h + 2*h + s*l = -7. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -2) + (6 - 2). Let p = 8 - f. Suppose -7*s = -p*s - 98. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*a + 20, 0 = 5*a - 0*a - 5. Let m = -27 - -112. Calculate the greatest common factor of j and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 1460156668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2\/19*r**3 - 98\/19*r - 28\/19*r**2 + 0 = 0?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-145)\/(-30) - 4)*32\/(-40)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1416623851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 5, 4, 0.3, 713?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -7. Let r be 17\/j + (-4)\/6. Suppose -8*p = 3*n - 3*p - 566990, -4*n + r*p = -756010. Round n to the nearest 10000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 f when three letters picked without replacement from {v: 2, e: 1, h: 2, f: 2, s: 5, k: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 296*l**4\/7 + 380*l**3 + 7068*l**2\/7 + 832*l - 80\/7 = 0. What is l?\nAnswer: -5, -2, 1\/74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/3)\/(((-12)\/(-1611))\/(-2)). Suppose 4*r - 165 - d = 0. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 11) + (-2 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, j: 3, d: 4}. What is prob of sequence ddjd?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4910 = 543*d + 1109 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 8*k - 3. Let n be v(-7). Let y = 2.5 + -3. Which is the biggest value? (a) 1 (b) y (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**2 - 179*f - 35. Calculate j(-46).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 5*w - 4. Let j be d(-4). What are the prime factors of j\/2 - (1 - 12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**2\/5 + 388*m\/5 + 696 = 0.\nAnswer: -87, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1534597 and 3170.\nAnswer: 15345970","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 982.437 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 853206800 to the power of 1\/2, to the nearest integer?\nAnswer: 29210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4376)\/92990)\/(2\/10)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 181*z + 3 + 183*z)*(z**3 - 8*z**3 - z**3) in the form h*z**3 + y*z + m*z**4 + l*z**2 + c and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x + 9. Let o = 60 + -65. Let c be p(o). Suppose c*i - 30*i + 30 = 0. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 equal to 3.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + i**2 + 5. Let t be p(0). Suppose s + 3*s = t*j - 18, -4*s = 4*j. Is j less than or equal to 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3654.63515 + 1.\nAnswer: 3655.63515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10, h: 1, f: 4, y: 4}. What is prob of picking 2 f and 2 y?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 82.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 27046624 + -4 + 0. Suppose -11*y - g = -6146621. What is y rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**4\/24 + 223*p**3\/3 - 49729*p**2 + 44358268*p\/3 + 845. Solve b(w) = 0 for w.\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -11 + 5. Let k(r) = -r**3 + 6*r**2 - r + 16. Let z be k(h). Solve 14*n = z*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) + sqrt(54)\/sqrt(6))*1)\/(sqrt(243) - sqrt(243)*3).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 9. Let a = q + -6.999985. Round a to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*r + 39 - 165, 3*l = 5*r - 239. Calculate the greatest common factor of r and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13235 by -25.\nAnswer: -2647\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -725 + 22477\/31. Let p be 27\/6*(-4)\/(-1). Let a = p + -19. Which is bigger: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**7\/2520 + 17*m**5\/15 + 271*m**2. Let o(f) be the third derivative of v(f). Let k(q) = -14*q. Give o(k(x)).\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(245) - (2 + -1*sqrt(245) + sqrt(245) + sqrt(245)))**2 - (sqrt(245) - ((sqrt(245)*2)**2*2 - sqrt(245)))).\nAnswer: -14*sqrt(5) + 1964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4410 - -4515. Calculate the highest common factor of 135 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*sqrt(2)*-5.\nAnswer: 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -215.16 plus 2?\nAnswer: -213.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 15136 = 3*q - 7732, -3*q = 5*k - 28582. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 178, 2, -8, -29 in decreasing order.\nAnswer: 178, 2, 1, -8, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7940135 - 1?\nAnswer: -7940136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((-160)\/24)\/10)\/(8\/(-336)*4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/210 and 82\/405.\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l + 4. Let r be i(-3). Let d(f) = -6*f**3 - 153*f**2 + 422*f + 64. Let z be d(-28). Solve z*n = r*n - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 552.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -2167 (c) 3\/7 (d) 1\/4 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i - 59. Let z be o(26). Find the common denominator of -31\/21 and (-1)\/(-28)*7*(-136)\/z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23830, 80922, 138012, 195100?\n\"Answer: -k**2 + 57095*k - 33264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - -1. Let x be 2\/8 + 93\/w. Suppose -5*h = -4*r - 17, 5*h + 0 = r + x. Sort h, 2, -2.\nAnswer: -2, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 27, 31, 35?\n\"Answer: 4*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 27. Suppose 4*l = 7*l - a. Solve 0 = -l*o - 9 - 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**2 - 136*i + 280. Determine h(25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-1\/23)\/l))\/l**(-9) assuming l is positive.\nAnswer: l**(254\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + t + 2. Suppose 2 = -3*f + 20. Suppose -c + f*c = 0. Let d be j(c). Solve -d*q - 6 = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 617499*k**3*x**2 - 26*k*x**3 - 199486127*x**3 with respect to k.\nAnswer: 1852497*k**2*x**2 - 26*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27846490 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g. Let i(t) = -2220*t + 12 + 9 - 32 + 11. Determine x(i(n)).\nAnswer: 2220*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5\/17 + 60*o**4\/17 - 12*o**3 - 176*o**2\/17 + 42*o - 396\/17 = 0. Calculate o.\nAnswer: -33, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-12)*8\/(-3). Suppose -2*k = 3*r - 4*r - 4, -3*r - 3*k - 3 = 0. Put r, v, 0, 5 in ascending order.\nAnswer: r, 0, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 1, a: 1, x: 2, s: 4}. What is prob of picking 1 x and 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1525 - -1491. List the prime factors of x.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7321 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 6*w + 2. Let r be y(6). Let s(l) = l**2 - l**r + l**2 - l. Let u(h) = h**3 + 2*h**2 + 10*h. Let b(q) = 4*s(q) + u(q). Determine b(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110514 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 391978\/7 at most as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -508, -0.2 in ascending order.\nAnswer: -508, -0.2, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003664359 to five decimal places.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3842*m - 97338 = 121656 for m.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1556 = 2*w - 2*i, w + 29*i - 784 = 28*i. Let g = w - 533. List the prime factors of g.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -8, 613 = 3*t - 26*k + 27*k. Let m(q) = -3*q**3 - 2*q**2 + 4*q + 1. What is the remainder when t is divided by m(-3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520529387 to the power of 1\/2, to the nearest integer?\nAnswer: 38994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 1)*(19 - 49 + 23)*(r - 8*r + 8*r)*(-2 + 2 - r**2).\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 1, 2\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11712, -11700, -11688, -11676?\nAnswer: -11664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i - 3*i + 3*i)*(-13*i**2 + 27*i**2 + 3*i - 13*i**2) to the form b*i + s*i**2 + w + d*i**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 6. Let l be (r + 2)*-1 + 5. Solve l*z + 7 + 1 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286916 is divided by 1661.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -4. Suppose -s - k*s + 8 = 0. Find v such that 4\/7*v**s + 0 - 2\/7*v**5 + 2\/7*v - 4\/7*v**4 + 0*v**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516716 divided by 12?\nAnswer: 126393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50128583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203, 406, 595, 764, 907, 1018, 1091?\nAnswer: 1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -21. Calculate the least common multiple of -2 + (-13)\/(13\/(-18)) and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -135*u**2 + 30*u - 5\/3.\nAnswer: -5*(9*u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023826876647 to four decimal places.\nAnswer: -0.0238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48046567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 64 = -14. Let l = -14 + o. Which is the biggest value? (a) -0.5 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -32, -43, -68, -113, -184?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 22 - j**3 + 61 + 2*j - 17 + j**2 to s*j**3 + n + y*j**2 + z*j and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 6*g + 16.\nAnswer: -(g - 2)*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 40 in ascending order.\nAnswer: -5, -4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 2*i + 4. Let v be y(6). Let o = v + -104. Is o a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 32. Let i(d) = -m*d - 1 + 3 - 8*d. Let b be i(-2). What is the greatest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7940.\nAnswer: 2, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 381663707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6224 + 6224. Suppose 0 = -3*f + 2*d - 9, 5*f + 3*d + 17 = 7*d. What is the tens digit of c*(-4 - (f + -2)) + 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62995074*x**2 - 45360297*x.\nAnswer: 125990148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 19*u**6\/10 - u**5\/20 - 3*u**4\/2 + 2*u**2 - 134*u. Find the third derivative of x(d) wrt d.\nAnswer: 1368*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-3)\/2 + -39 + 41. Solve 2*l - 2 = 5*a - 3*a, 0 = -j*a - 5*l + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(8\/(-16)*7*4)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*t - 416*t + 584 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -3*y**8\/56 - 23*y**5\/30 - y**3\/3 + 10*y**2 + 1. Find the third derivative of c(o) wrt o.\nAnswer: -1080*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -35. Let -620*p + 272*p**2 - 230 - d*p**3 + 30 - 19*p**3 = 0. What is p?\nAnswer: -2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + ((-4 + sqrt(475)*2)*-3)**2*-5 + 5.\nAnswer: -86213 + 3600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1472 = -4*o + 2*f, 7*o + 4*f = 2*o + 1814. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.50759951 rounded to 3 decimal places?\nAnswer: -8.508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/9, 2\/7, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 2. Let k(s) = -40*s**2. Determine a(k(b)).\nAnswer: 40*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*((w*w*w**(-7)\/w)\/w)\/w*w**(2\/11)*(w\/w**(-2\/7))**(-19) assuming w is positive.\nAnswer: w**(-2406\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.3 + -25. Let o = 20.4 - m. Let f = -27 + o. What is the third biggest value in -0.5, 0, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(2\/(-6) + 0). Let g(y) = y**2 - 15. Let x be g(-7). Suppose -2*l - 13 = -v, -m*v = l - 6*l - x. Solve v*s - 13 = -1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/17, 0.7, -8, 1\/7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -612*o + 610*o + 4. What is the third derivative of 202*n**4 - 22*n**2 + 82*n**2 - 24*n**o + 225*n**2 wrt n?\nAnswer: 4848*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-231)\/42)\/11)\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.448 - 0.158. What is the fourth biggest value in 2, -3, b, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {p: 4, o: 3, b: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*s - 75 = s, 270 = 4*d + s. What is the remainder when 1339 is divided by d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h - 32. Let m(w) = w**3 - 21*w**2 + 38*w - 35. Let n be m(20). Let r = n - 315. What is p(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 627 and 3420.\nAnswer: 37620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -143 + (194 - (12 + -75)).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t\/t**(1\/2)*t)))\/t*(t*(t\/t**(4\/7))\/t)\/t)\/(t**(3\/7)\/t)**(-5\/14))**(-1\/7) assuming t is positive.\nAnswer: t**(27\/686)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2, 6, -82\/3, -1\/3, 0.01, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + g + g)*(-7*g**4 - 3*g**3 - 2*g**4 + 18*g**4).\nAnswer: 45*g**5 - 15*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 + a**2 - 3*a**2 + 2 + a**2 - 2 + (3*a**2 + 3*a**2 - 7*a**2)*(-3 + 0 + 1) + a**2 + a**2 - a**2)*(-1 + 4 - 1)*(a - a + a)*(5 + 0 + 1).\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -18*v + 25, 3*v = 5*h - 5. Let t = -2 + -1. Sort h, t, -2 in descending order.\nAnswer: h, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**3\/7 - 36231*k**2\/7 - 15577920*k + 297851904 = 0.\nAnswer: -6048, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 - b + 22. List the prime factors of t(-6).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1167?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30, 9, -12, -33, -54?\n\"Answer: -21*r + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 6 = 2*q, -3*q - 20 + 38 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 3*d - d)*(-1 - 2 + 6) + 0*d + 0*d - 2*d + (-9 + 26*d + 9)*(9 + 16 + 26).\nAnswer: 1321*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 4*m - 2*m)*(19523*m**4 - 91 - 12 + 103).\nAnswer: 39046*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1644, -1719, -1816, -1935?\nAnswer: -2076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(-8\/11)*f)*f\/f**(5\/3)*f*(f\/f**(-24))\/(f\/(((f\/((f\/f**(-7))\/f))\/f)\/f)) assuming f is positive.\nAnswer: f**(563\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/11 - (-574)\/11. Let u be p\/(-3) + 1\/3. Is 1\/2 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-18) + 248\/225. Let q = -5521\/19 - -389546\/1425. Let m = q + c. Find the common denominator of m and -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 995959 + 497980 + 3*r - 3*r + 497979.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3984 - -2.2?\nAnswer: -3981.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p**2 + 6*p + 3. Let k be b(-2). Solve -7 = -3*o - l, -o - k = 4*l - 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t + 122 - 173 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, d: 2, r: 2}. Give prob of picking 1 r and 2 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2725294993 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/8)\/(1\/(-8)). Let c(o) = -o - 9. Let f be c(y). Sort -12, f, 0.\nAnswer: -12, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p**2 - p + 12. Let q(k) = -4*k**2 - k + 13. Let d = -70 + 67. Let o(v) = d*n(v) + 2*q(v). List the prime factors of o(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 48*j**2 + 54*j + 283. Let q be m(-49). What is the highest common divisor of q and 3287?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzxx when four letters picked without replacement from {x: 3, z: 3, i: 1}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63435*d - 61110*d = -95325 for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3636738413013\/287013610 + 12\/11038985. Let c = 12673 - o. Let d = 19\/66 - -1409\/264. Find the common denominator of c and d.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.6 - 6.6. Let x = 26 + v. Which is the nearest to 2\/9? (a) x (b) -3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 721033205 to the nearest integer?\nAnswer: 26852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -794604324329 + -0.4.\nAnswer: -794604324329.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(6\/5))\/t*t*t**(6\/11)*t**(1\/10)\/t**(2\/13))**(-45) assuming t is positive.\nAnswer: t**(-3753\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iumn when four letters picked without replacement from {u: 1, i: 1, n: 1, m: 2, z: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a**2 + 11*a. Let r be (-100)\/(-36) + (-3 - 116\/(-36)). Does 15 divide z(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**5\/60 - a**4\/24 + a**3\/2 + 16*a**2. Let l(y) = y**3 - y**2 + y - 1. Let h be l(2). Is r(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 5*z - 22. Let q be g(-8). Suppose -2*s + s = -q*n - 4, -8 = 5*n - 2*s. Suppose 2 = -n*b + b. Solve -b*k + 16 = -6*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 1\/10*c**6 + 61*c + 7\/5*c**5 + 0 + 0*c**2 + 0*c**4 - 8*c**3. Find the second derivative of x(d) wrt d.\nAnswer: 36*d**2 + 168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*n - 52*n + 4388. Let s = -648 + n. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 3*k**2 + k - 1. Let y be s(3). Let h(n) = 4*n**2 - 2*n. List the prime factors of h(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.5, -5\/3, 0.5, 2, -52?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (9\/2 + 1)\/((-7)\/(-42)) is divided by (-17)\/(-1) - (0 - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p**(3\/22)*p**(-19)*p*p*p**(1\/28)*p**2*p assuming p is positive.\nAnswer: p**(-3643\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-one quarters of a millennium?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 527 + -183. Let s = 354 - j. Solve -s*q - 10 = -0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9776, 9778, 9780, 9782, 9784, 9786?\nAnswer: 9788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1 = -g - 0, -2 = h. Suppose -3*b + 4*b - 11 = -g*k, -b + 3*k = 7. Suppose -4*y + 0*q + 19 = -q, q = b*y - 11. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + -2 + (119 - 126).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c + 30*c - 555. What is the remainder when 373 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 53733, -4, -6\/7, 2\/13, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -55777 times 0.5?\nAnswer: -27888.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1711652746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 16*n - 19. Let i be w(15). Let f be (-3 - -375)\/2 + i. Suppose 0 = -2*t + 102 - 50. Calculate the greatest common factor of f and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - 74 + 79 - 8*b**2 as c*b**2 + x + j*b and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*p + 35*p + 37*p)*(20*p**3 + 53*p - 53*p) in the form f*p**4 + k + u*p**2 + x*p + b*p**3 and give f.\nAnswer: 1180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (94 - 109)*(-9 + (-384)\/(-40))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6929 (base 10) to base 13.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133682219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 18 (b) -0.004 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*p + (p + 0*p + 0*p)*(0 - 2 + 6).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 858 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 430521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4523420 divided by -4523420?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 12*h**2 + 10*h - 6. Let d be t(-11). Let y be (-42)\/(-15) - (-1)\/d. Solve g - y*x + 3 + 1 = 0, -5*g + 4*x - 9 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x**2 + 7*x - 7. Let h(s) = 2*s**2 - 3*s + 3. Let a(l) = -3*f(l) - 7*h(l). Let z(w) be the second derivative of -w**4\/6 + w. Calculate z(a(t)).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*d**3 - 93*d**2 - 2*d + 91*d**2 + 8*d)*(-112 - 66 + 55)*(4*d + 3*d - 5*d) in the form r*d**3 + g*d + o*d**4 + k*d**2 + y and give g.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1355584, -2711229, -4066874?\nAnswer: -5422519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*-5 - 363\/66.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/28747 and 37\/114988.\nAnswer: 114988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2494256814 a multiple of 1420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86208*h + 2*h**2 - 5*h**2 - 86208*h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 149*x**2 + 9358 + 149*x**2 - 448*x**2 + 151*x**2 as i*x + j*x**2 + o and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 6. Suppose -21 = l - 3*i, l + 2*i = -3*l - 70. Let c be (-86)\/l - 4\/(-18). What is the units digit of m(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 562 = 5*s, -5*s - 5*f - 408 - 147 = 0. Is s > -114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbwpwpwwwwwwww. Give prob of picking 1 w and 1 p.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 22. Let c(h) = h + 14. Let k(j) = -8*c(j) - 5*l(j). Let y = -118 - -115. Give k(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + u = 11, -4*o = -3*u + 7 - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94516678?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Divide -45963183 by -15321061.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4223031317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 0.04 (b) 6 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -5) + 6 + -7. Let b(n) = 13*n**2 - 5*n - 13. Let a(m) = -m**2 + m + 1. Let d(c) = s*a(c) + b(c). Find the first derivative of d(w) wrt w.\nAnswer: 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 3*l = 4*l + 4, 0 = -4*k - 3*l + 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 35598, 71729, 107858, 143985, 180110?\n\"Answer: -x**2 + 36134*x - 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211557183.\nAnswer: 3, 89, 487, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19753.1nm to millimeters.\nAnswer: 0.0197531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 904*v + 900*v + 234 = -8*z, z = -5*v + 303 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 6. Let j be (0 - -1)\/(1\/(-5)). Suppose 4*f - 10 = -3*n, 0 = 3*f - 2*n + n - 1. Put f, k, j in ascending order.\nAnswer: j, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1183\/849 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5031?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27\/55 + -12\/11. Let x(p) = -p + 4. Let i be x(3). Let m be 2\/(-9)*(-5 + 2). Which is the closest to i? (a) -0.3 (b) m (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*s**3 + 16*s**2 - 823 wrt s.\nAnswer: 51*s**2 + 32*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 5*k - 2. Let i(j) = -j**3 + 5*j**2 + 6*j. Let c be i(6). Suppose 4*s - 2*s + 12 = c. What are the prime factors of d(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2408109 is divided by 1436?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -4, -104.\nAnswer: -104, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 b when three letters picked without replacement from kkkbbkb?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78514229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -15*f - 3. Let h(y) = -1. What is -h(x) + w(x)?\nAnswer: -15*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -915.29 + 915.9. Which is smaller: 0.028 or j?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4))**7\/(m**(3\/5))**12 assuming m is positive.\nAnswer: m**(-176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**2 + 9*p - 11. Let n(m) = 42*m**2 - 25*m**2 - 18*m**2 - 2 + 2*m. Let l(a) = 2*b(a) - 11*n(a). What is l(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-18) + (-43270)\/(-36). Let q = 1222 - w. Calculate the common denominator of q and (109 + -3)*2\/24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 - 57. Let u be (l\/(-18))\/4 - (-2)\/6. Factor u*c**3 + 0 - 2\/3*c**2 + 4\/9*c.\nAnswer: 2*c*(c - 2)*(c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 987 + -239. What is the units digit of (-3)\/(-12) + t\/16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 20*y - 28. Let m be j(19). Let z be (-29)\/m + -2 + 48\/27. Solve 3*o + 21 = -2*l, -3 = -o - z*l - 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101111122 - -200121?\nAnswer: 1102012020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 60*b**2 - 363*b - 1780. Give s(-5).\nAnswer: 1535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157 + -233 + (-11 - (-11 - -12)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30.9 - -30.4. Let n = 0.03 + 1.97. Which is the closest to 0.1? (a) x (b) 0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/88 and 27\/77560.\nAnswer: 853160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 10 = -5*u - 3, 2*i = -4*u + 14. Suppose -2*m + i*l = -12371, -5*l = 4*m + 5385 - 30094. Let a = m + -3272. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 18\/5 of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*y + 4*v - 104, 5*v + 78 = -3*y. Let n = y - -27. Let w be (-9)\/(-12)*(4 + 1 - n). Solve w*x - x = 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -151952\/151767 + 28\/1971. Let z = -14\/11 - w. Let m = 6 + -4. Which is the second smallest value? (a) 7 (b) z (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*((-16)\/(-3))\/(-2). Let o = j + 13. Suppose o*x = 779 + 306. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-1 + (-11 - -23) - 9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(1800)*-5)\/(sqrt(160) + (sqrt(160) - sqrt(160)*-2*-4) - sqrt(160) - (sqrt(160) + 2*sqrt(160)*2)).\nAnswer: -15*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1617)*2)\/((sqrt(270)\/(sqrt(20)\/sqrt(2)))\/sqrt(9)).\nAnswer: 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + y + 1)*(-3 - 2*y**2 + 3)*(-1 - 2 + 1) as x*y**2 + k + j*y**3 + h*y and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 722*u - 724*u + 5*x + 3255579 = 0, 0 = 2*u - 4*x - 3255586. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = f - 387, 4*y = -y + 20. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44954 is divided by 555?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -95 + 219 - 115 - (0 + 11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 37*n - 26. Let p(m) = -4*m - 1. Let t(r) = 4*p(r) - w(r). Suppose j = -9 - 0. Is t(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2 - 3 + 0 + 5 + (1 + 1 - 1)*(4 - 4 - 2) - 5 - 1 + 4 - 1 + 4 + 1)*(-146*v - 134*v + 34*v) to n + x*v and give x.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 618195388 and 1132?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2 + 7 - d - 6. Give g(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2603 - 6*b**3 + 2603 + 41*b**2.\nAnswer: -6*b**3 + 41*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1278*x**2 + 5 + 1261*x**2 + 6 - x**3 as n*x**2 + y + l*x**3 + d*x and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3688971?\nAnswer: 3, 11, 13, 8599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.419 + 0.081. Put -2\/9, a, 0.1 in ascending order.\nAnswer: -2\/9, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-4 - -4) - (13 + -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 10 = 2*y. Suppose 4 = 6*q - 5*q. Suppose 2*o = d + q + 4, 0 = -2*d + 2*o - 12. Is d <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kthftohthkrh. What is prob of picking 1 r, 1 k, 1 f, and 1 o?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -240a6 (base 14) in base 7?\nAnswer: -514266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -85.78305 to two dps.\nAnswer: -85.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 5*a - 4 = 17, -3*a - 7 = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -12. Let n = -179 - -189. Solve -5*u - k = -n*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g - 25. What are the prime factors of o(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3661 + 35?\nAnswer: -3623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1742 divided by -219.\nAnswer: 1742\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2463*r = 2420*r + 1032 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 7:44 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 2 = -16 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-5*(2*sqrt(110) - sqrt(110)))\/(sqrt(1440)*2 - sqrt(10)) - (0 + 1*sqrt(275) + -1)).\nAnswer: -720*sqrt(11)\/23 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 0.4 (c) -5\/23 (d) 0 (e) -2\/1669 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 + 9 + 1 + 5 - h**2.\nAnswer: 2*h**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -33644*g + 32. Let r(t) = -2*t. What is u(r(w))?\nAnswer: 67288*w + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(7 + (-66)\/12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, -46, -112, -230, -418?\n\"Answer: -3*k**3 + k**2 - 14*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-9) - -1)\/(22\/99)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.103, 3, 3\/2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3.1, -5, -2390\/77 in decreasing order.\nAnswer: 3.1, 2, -5, -2390\/77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3814655 divided by -5\nAnswer: 762931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x - 4*x**2 + 0*x - 3*x**3 - 2*x**4 + x**2 - 3*x in the form m*x**2 + w + i*x + s*x**4 + v*x**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/77 and 13\/341.\nAnswer: 2387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(448) - sqrt(448)) + sqrt(140)\/sqrt(5))**2 - (3*sqrt(147)\/sqrt(3))\/(sqrt(7) + -2*sqrt(21)\/sqrt(3))) + 1.\nAnswer: 7*sqrt(7) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 - 4*o**2 - o. Let x be m(-3). Suppose -2*t - 5*n + x = 0, n = -3*t + 4*n. Sort t, 0, -3 in ascending order.\nAnswer: -3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 35*v**3\/6 + 30161*v. Let m(o) = o. Let t(i) = i. Let z(w) = -7*m(w) + 6*t(w). Determine -h(u) - 42*z(u).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 42. Let j(t) = 14*t - 2 + 1 - s*t - 1. Determine j(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-420)\/(-5))\/3 + (-29 - -21). Put 1, -2, b in increasing order.\nAnswer: -2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1051281741 or 1051281742?\nAnswer: 1051281741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l\/l**(1\/4))*l*l*(l*(l\/(l**(2\/9)\/l))\/l)\/l*l*l*(l**0\/l)**35 assuming l is positive.\nAnswer: l**(-1043\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 3*i + 10, 2*d - 3*d - 20 = 5*i. Solve 4*k - 23 = 3*o, -4*k = -d*o - k - 31 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(880)*-2 - (sqrt(55) - sqrt(495)*5 - sqrt(55)))\/(4*sqrt(5)*4*2).\nAnswer: 7*sqrt(11)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 302 - 144. Suppose -4*m = 5*i - k, 2*m - 4*m = -2*i + 56. Solve v - 4*w - 16 = -3*v, -5*v = 5*w + i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*r - 90. Let q be ((-11)\/4466)\/(5\/r). Is q at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - b - 32 = 0. Suppose -7*x - 482 = -b*x. Suppose -5*t + 435 = -5*q, 4*t + 4*q - x + 126 = 0. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 7*y. Let m be i(5). Let a(f) = f**2 + 9*f - 8. Let g be a(m). Find b, given that 0 - 1\/3*b**5 + 4\/3*b**4 - 2*b**3 + 4\/3*b**g - 1\/3*b = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-48)*(-171)\/(-12))\/(3\/12)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 13) to base 11\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143*g**2 - 73*g**2 - 27*g**2 to c*g + f*g**2 + l and give f.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -8*a**3 - 42*a - 24 - a**2 - 1\/4*a**4. Let d be h(-24). Solve -r = -4*r - d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15380, -15353, -15326, -15299, -15272?\n\"Answer: 27*c - 15407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/2 + 2. Let c = 202.11 + -204. Let b = c + 1.89. What is the smallest value in j, -2\/7, b, 2\/11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**2 + 199*z - 752. Let t(w) = 10*w**2 - 397*w + 1491. Let y(h) = 7*m(h) + 4*t(h). Solve y(g) = 0 for g.\nAnswer: 4, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 0.8, 1\/4, 232375?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91290 and 358.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - j - 3 = 31, 4*j = -5*b + 85. Calculate the greatest common divisor of b and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 14) to base 8\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4534, -4531, -4528?\nAnswer: -4525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 0.4\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - x + 6 = 3*c, 4*x = -3*c + 6. Let h be (-1)\/c - (-9)\/6. Calculate the remainder when 5 is divided by (2 - h\/2)*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27926 and 28.82.\nAnswer: -804827.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l + 48. Suppose -11 = 3*r - 44. Let q be d(r). Suppose q*f - 4 = f - 2*j, -3*f - 5*j = -10. What is the nearest to 1 in -5, 1\/5, f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1836 + -1813. Solve -3*u - c = -5*x, 15*x - 8 = 13*x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 10215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j - 4*j - j)*(-5*j + 8*j + 3*j - 2*j + 1) to k*j + s*j**2 + c and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 7*v + 6. Let p be c(6). Suppose -2*i - i + p = 0. What is the tens digit of (7 - -2)*i\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**2 - n**2 - n**2 - 23 + 6 as l*n + g + i*n**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/27? (a) -5 (b) 0.3 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2431)\/(-65) + 2\/(-5). Let i = u - 35. Suppose -i*d + 0*d + 2*g + 42 = 0, 0 = 3*d - g - 71. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111111011011 (base 2) to base 8\nAnswer: 7733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28041667?\nAnswer: 109, 257263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/55, -5, -3309811?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 2*a + 3. Let n be b(3). Let h = -2 + n. What is the second derivative of 0*j**3 - j + h*j + 4*j**3 wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -59. Suppose 0 = -15*g + c*g - 132. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/577 + -28300\/5193. Let u = m + 209\/45. What is the nearest to 1 in 2\/7, u, 19?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0481 and 626370.345029.\nAnswer: 626370.296929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 4:02 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from lmlmmlzmlzmzm.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 0 + 0 + -1. Suppose 17 = -4*n + u. Let g(z) = -49*z - 1761. Let p be g(-36). Sort n, -5, p in decreasing order.\nAnswer: p, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9735978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/171*(48 - 39)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from {c: 2, a: 18}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y + 4. Let p be j(2). Solve -3*m = -8*m - 25, 5*t + 5*m = -p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*g + 30. Let r be -3 - (0 - (0 + 0)). Let j be r\/((-3)\/g*-3). Which is bigger: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8856, 36052, 81382, 144846, 226444, 326176?\nAnswer: 444042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 946158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, v: 2}. Give prob of sequence ppv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2702\/1158*((-6)\/(-27) + 280796\/18).\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-6) - -1)\/((-156)\/(-19245)). Let u = -940\/13 + w. Calculate the common denominator of u and -55\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15977, -31950, -47919, -63884, -79845, -95802, -111755?\n\"Answer: 2*o**2 - 15979*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 59 = 3*n - 191, 0 = -5*n + w + 380. Let j = 63329\/2 + -31665. Which is smaller: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + k**2 - 6*k + 5. Let o be m(2). Is o < -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-69174)\/(-12))\/(-27)*(-88)\/308\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1679159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3\/5, -5, -0.3, -193?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 10:07 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1099444*u**2 + 3612088 wrt u?\nAnswer: -2198888*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + o - 6*o)*(o**3 + 2*o**2 - 7*o**2 + 37*o**3) in the form k*o**3 + h*o**2 + j*o**4 + m + r*o and give j.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 223.37 - 209.37. Which is the nearest to -0.1? (a) 1 (b) 10 (c) -6\/13 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 4, k: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-5)\/30) + 31. Find the first derivative of -16*n**2 - 13*n**2 + 31 + u wrt n.\nAnswer: -58*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + 98*l + 0*l**2 - 2*l**4 - 99*l - 2*l**3 in the form a + i*l**4 + n*l**3 + y*l + s*l**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 2*a - 7. Let r be s(4). Solve -7 = -3*u - 4*b, -u + 5*b = -2*u + r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -371, -383, -409, -455, -527, -631?\n\"Answer: -o**3 - o**2 - 2*o - 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 732 = -4*j + 2*x, -2*j = -x - 363. Find the second derivative of j*c**5 - 9*c + 55*c - 186*c**5 wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 3*l**2 - 3*l + 2. Let f be z(3). Let t(d) be the third derivative of -7\/6*d**3 + 0 + 1\/4*d**4 - 7*d**2 + 1\/60*d**5 + 0*d. Determine t(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - -20. Let j = b - 33. Let i be (-9)\/(-6) + 3\/2. Solve -i*r = j - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29, 60, 91, 122, 153, 184?\n\"Answer: 31*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**5 + 51*k**4 + 266*k - 1 wrt k?\nAnswer: -60*k**3 + 612*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22655 is divided by 5564.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 292, 505, 1070, 2161, 3952, 6617, 10330, 15265?\nAnswer: 21596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1366.67 + -1458.3. Let m = -1.5 - 90.5. Let z = j - m. Round z to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3520995 is divided by 880244.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n = -52. Suppose -n + 1 = -12*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -667, -1323, -1979, -2635?\n\"Answer: -656*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13.3? (a) 370.6 (b) 2\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.06 (b) -0.1 (c) -2\/15 (d) -2\/125\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22089 divided by -37\nAnswer: -597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22226785?\nAnswer: 5, 7, 635051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*v - 26. Suppose 0 = -4*x + 5 - 21. Let m(w) = -w**3 - 3*w**2 - 6*w - 1. Let a be m(x). Calculate the greatest common divisor of a and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*a**2\/3 + 100*a\/3 + 32.\nAnswer: -2*(a - 8)*(7*a + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/14, 25, 2.1 in ascending order.\nAnswer: -9\/14, 2.1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 1 = -2*c. Let h be (8\/4 - 1)\/1. Solve j - 2 + h = c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*b - 70. Suppose -4*l + 37 = -b. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 2*k - 2. Let x be i(1). Suppose 3*t = x*t + 4. Suppose 2*g = m + 147, 3*g - 6*g - t*m = -204. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1237\/248 - -81\/31. Let d = -26977 + 76958\/3. Let c = 1347 + d. Calculate the common denominator of c and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/378348 and 11\/9246.\nAnswer: 583034268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25649 - -25654. Let t(w) = -w**2 + 9*w - 9. Let r be t(6). Find the third derivative of 2*d**5 - r*d**2 + 6*d**5 + d**f - 11*d**2 wrt d.\nAnswer: 540*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380880193.\nAnswer: 67, 937, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-126)\/(-4))\/((-27)\/36))\/(-2). Suppose -6*r = -r - 140. What is the highest common divisor of r and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3505 + 0*u + 7017 - 3512 - u - u. Let h(p) be the third derivative of -25*p**5\/6 - p**2. Give l(h(c)).\nAnswer: 500*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + 2.98. Suppose -m - 17 = -4*v, m - v = -4*v + 18. Suppose j - 3 = 2*f - m*f, j = f + 5. Which is the smallest value? (a) h (b) -1\/6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-184)\/(-10))\/(((-78)\/(-13))\/30). Let m = 197 + -96. Suppose 2*d = 4*l - c, 5*l = -2*d + 32 + m. What is the greatest common divisor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, f: 1, a: 1, g: 2}. Give prob of sequence az.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/12*1 - 354\/(-9). What is the highest common factor of m and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 26*l**2 + 2*l - 7. Let x(s) = -s. Let h(n) = -a(n) - 2*x(n). What is the first derivative of h(z) wrt z?\nAnswer: -3*z**2 - 52*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -1 (b) -7 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -223 (base 6) to base 8\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/16 and (-237)\/8*6\/(-54)*3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -973*o*x**3 - 11*x**3 - 3*x + 20 wrt o?\nAnswer: -973*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -14250, 5 in decreasing order.\nAnswer: 5, -24, -14250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 29*n**2 - 19*n + 53. Let p(y) = 30*y**2 - 25*y + 52. What is -3*p(i) + 4*t(i)?\nAnswer: 26*i**2 - i + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2 - 28 = 5*g, -2*p - 5*g - 5 = 0. Calculate the remainder when 14 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 76 = 27. Calculate the lowest common multiple of j and 7\/21 + 56\/60*5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11 - 5) + 1 - 36) + 10 + -1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 193 + -286 + -36 + 148?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b\/((b**(2\/23)*b*b*b)\/b)*b)\/b*b*b))\/(b**(5\/6)\/b)*b\/b**(-6\/11)*b**5)**35 assuming b is positive.\nAnswer: b**(308105\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 19. Calculate r(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*b + d - 3, 5*d = b + 10. Suppose n + 3*n - 32 = b. What is the lowest common multiple of 6 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/8 in 0.5, -5\/382, -695?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 113000 (base 4) to base 14\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417*p + 541*p + 543*p + 162*p.\nAnswer: 829*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*q - 291, 4*q + 1385 = -g - 4*g. Let u = g + 498. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4) + -1 + 315\/(-15) + 20.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 + -25019.\nAnswer: -25124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8)*k*k**3*k)\/(k**(-2)*k\/(k*k*k*k\/((k*k**5)\/k)*k)) assuming k is positive.\nAnswer: k**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31045?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*h + 3*h. Let k be 71\/(-923) - 3\/(-39)*1. Suppose -10*y + h*y = k. Solve 5*s = -y*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 9:16 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 813, 1517, 2073, 2409, 2453, 2133, 1377, 113?\n\"Answer: -12*l**3 - 2*l**2 + 794*l + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163540*d**6 + 13*d**2 - 12*d + 10?\nAnswer: 19624800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 7*f**3 + 0*f + 2*f**3 + 0*f + (f - 4*f + f)*(-3*f**2 - f**2 + 3*f**2) + 0*f**3 + 0*f**3 + 2*f**3 + 4*f**3 - 2*f**3 + 0*f**3 - 2*f**2.\nAnswer: f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2808513?\nAnswer: 3, 34673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 504*z - 21040*z**2 + 20*z + 22648*z**2 wrt z?\nAnswer: 3216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143646626?\nAnswer: 2, 73, 983881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -549.765 rounded to the nearest integer?\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14091820 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21626281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v. Let p(m) be the second derivative of m**4\/24 + 3*m**2\/2 + 5*m. Let n(d) be the first derivative of p(d). Give n(h(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + 30756765?\nAnswer: 30756752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 - -62. Which is the closest to 4? (a) z (b) 1\/5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 4*(-26)\/(-8). Suppose -g - z = -5*g - 2*t, 2*t + 8 = 5*g. Let k be 4\/6*18\/12. Solve k = -g*p - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3202232 - -17?\nAnswer: 3202250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42272 by 5284.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 398*t**3 + 7*t**2 - 7780*t + 318246810 wrt t.\nAnswer: 1194*t**2 + 14*t - 7780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3160160427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2\/5, 0.17, -1, -2\/7, -2, -12054, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*(-1 + sqrt(76) + 1*sqrt(76) + 1 + 2))**2 + -2.\nAnswer: -22178 - 1152*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -4*g + 8, -5*r + 3*g + 1 + 19 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6101595110 to the nearest 1000000.\nAnswer: -6102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*g - 20 = -45*g. Let h(z) be the first derivative of -1\/15*z**3 + 0*z + g - 2\/5*z**2. What is y in h(y) = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 504\/105367 or -1?\nAnswer: 504\/105367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 6*x - 3*x - 1800, 0 = 3*x - 12. Let p = 875 + y. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 + 3*k + 3. Let a(b) = -6*b**2 - 8*b - 8. Let u = -1645 + 1642. Give u*a(i) - 8*z(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*t**3 - 96*t**3 + 33*t**3.\nAnswer: -286*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 58 - (0 + -1 + 3). Suppose -4*u - m = 4*s, 5*u = -0*s + 5*s + 50. Let v = s - -27. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3420 and 72.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 114*f - 71. Let c(d) = 29*d - 18. Let h(w) = -2*a(w) + 9*c(w). What is the first derivative of h(g) wrt g?\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -864 by 313.\nAnswer: -864\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*m - 277*m + 1517*m**4 + 855*m wrt m?\nAnswer: 18204*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 940.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18195.2 in 5, -4, 3\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 58, 75, 106, 157, 234, 343?\n\"Answer: d**3 + d**2 + 7*d + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2))**(-48)*(((m*m*m\/((m*(m*(m\/(m*m*m**(1\/4)*m*m*m)*m)\/m)\/m)\/m))\/m*m)\/m*m)**(-1\/12) assuming m is positive.\nAnswer: m**(-1181\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -15862*n - 238024. Calculate x(-15).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 611*a + 1. Let b = 0 - -1. Let g be u(b). Suppose 0 = -5*y - 4*y + g. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 - 40*a - 109. Give b(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 2. Suppose 0 = 5*x - 0*x - 30. Calculate the lowest common multiple of n and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 768.3858 months to years.\nAnswer: 64.03215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1964\/3 + -654. Which is the smallest value? (a) 2\/11 (b) -4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 37210*t**2 - 167872*t + 946688\/5 = 0. What is t?\nAnswer: 688\/305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 b when three letters picked without replacement from {b: 1, a: 1, s: 1, o: 6}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -43, 581, 3, -3 in descending order.\nAnswer: 581, 3, -3, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 865011 divided by -123573\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4943.93 + -4944. Let r = 642 + -647.07. Let s = h - r. Sort s, -1\/11, -1 in descending order.\nAnswer: s, -1\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*n = 30. Let k(p) = p**3 - 5*p**2 - 6*p + 2. Give k(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5 - 1 = -4*m, 0 = -5*v + 3*m - 1. Let k be -1 - 2 - (-7 + v + -2). Solve k = 4*n - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 37633723?\nAnswer: -7\/37633723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 308955*z + 49871360.\nAnswer: -5*(z - 61952)*(z + 161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/426 and -11\/24.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14244233?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mtllvqlmmtlxlt. Give prob of picking 1 x, 2 v, and 1 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -578251390 by -106394.\nAnswer: 5435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1167*-1162.3\nAnswer: -1356404.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4090215775?\nAnswer: 5, 163608631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 8) in base 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2456 and 65444.\nAnswer: 40182616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w + 21670 = 209*w + 513*w + 287*w for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8.96 and -7827960.53.\nAnswer: -7827951.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 4*g + 2. Let n be a(4). Let t(f) be the second derivative of 5*f**3\/6 - 3*f**2\/2 - f. What are the prime factors of t(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1632412467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7 = -2*p - 5, 11 = 2*q - 3*p. Suppose 3*y + 2100 = 3*g, g + y + q*y - 706 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 86\nAnswer: -3\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -1 - (14 - 13). Let u = t + 12. Suppose u - 6 = j. What is the remainder when j is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 713754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 17*q**3 - 5*q**2 + 5*q - 16. Let o(k) = -17*k**3 + 6*k**2 - 6*k + 17. Let i(c) = 5*o(c) + 6*v(c). Find the first derivative of i(a) wrt a.\nAnswer: 51*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 2827818.\nAnswer: 14139090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/26063 and 25\/2254818.\nAnswer: 877124202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 124266006 divided by -13807334\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*k + 7. Let a be (6 - 495\/20)\/(k\/(-16)). Let y(j) = 20*j. Let v be y(2). What is the highest common factor of v and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12136 and 75604?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 6:06 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 4. Let x = 0.21 - 15.21. Let d = l - x. What is the biggest value in d, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 bigger than 640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2111, 4213, 6303, 8375, 10423, 12441, 14423?\nAnswer: 16363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -150 + 150.63. Let k = v - 0.630141. Round k to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n. Let k(s) = s. Suppose -3*r - 14*r = -34. Suppose 0 = -5*a - 3 - 12, -2*a = 3*d + 3. Determine d*v(f) + r*k(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = g - 2*h + 2, 0 = -g + 3*h + 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**4 - 3*x**3 - 5*x**2 - 3*x + 3. Let b(l) = -4*l**4 + 7*l**3 + 11*l**2 + 7*l - 7. Let w(k) = 6*b(k) + 14*d(k). Let w(h) = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 - 6*t**3 - 793 + 485*t**2 + 61*t**2 + 2156*t + 47*t**3 - 1951.\nAnswer: (t - 1)*(t + 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8177 + -8173.003. Let q = 11.086 - 11.083. Let n = o + q. Which is the nearest to -3? (a) 2 (b) n (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2722797 < -2722834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2354241678.\nAnswer: 2, 3, 73, 881, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-15)\/(-27)*17\/17?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = z - 58 + 55, 0 = -4*t + 2*z + 6. Solve -t*b - 2*g = -14 + 4, -4*g + 15 = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -618*0.4\nAnswer: -247.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8720 divided by -2180.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 116?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 22*y**2 - 15*y - 15. What are the prime factors of i(-4)?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -58. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = -5*q - 2*v + 10, 3*q + 5*v = -34 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20645 (base 7) to base 14.\nAnswer: -1c25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -1. Let u(a) = 4*a**2 - 36. Suppose 85*o - 87*o - 24 = 4*k, 0 = o - 2*k - 8. Give o*u(r) + 72*q(r).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 2450, -7, 2, -193 in descending order.\nAnswer: 2450, 2, 1, -1, -7, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.327, -61, -1, -3.3?\nAnswer: 0.327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 0*v + 0*v**4 + 28\/3*v**3 + v**5 + 0*v**2 - 40. Find the third derivative of f(u) wrt u.\nAnswer: 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 43262622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26388 is divided by 270.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100220201 - 21111?\nAnswer: 100122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -752 divided by 1.\nAnswer: -752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*d + 136, 3*d = -t + 44 + 78. Let l = d + -4. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 153?\nAnswer: -15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 207\/44 at most -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6196 (base 10) to base 12\nAnswer: 3704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.37 + 0.09. Let g = -0.06 + r. Which is the biggest value? (a) g (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0)\/((-40)\/(-5))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 3*h - 3*d, -5*h = -3*h + 4*d - 22. Solve h = -2*f + 5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3287783674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1786963 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21655, -24592, -29495, -36358, -45175?\n\"Answer: l**3 - 989*l**2 + 23*l - 20690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 638 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255737?\nAnswer: 23, 11119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/5 + 4482*f\/5 + 1674027\/5.\nAnswer: 3*(f + 747)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 8:40 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 23 = -0*c - 6*g, -3*c = -2*g - 85. Let w(b) = 5*b**2 - b - 2. What is the remainder when w(-4) is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, 169, 4, -857, -1, -4, 13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (-1 + (-14)\/(-4)). Let u = -10 - -8. What is the nearest to u in -1\/4, 0, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1936*h - 1931*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*w, -5*u + 2*w = -w - 947. Suppose 85 = 5*m - u. List the prime factors of m.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 78.0624 millilitres?\nAnswer: 0.0780624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -10*q**3 + 33*q**2 - 29*q - 115. What is the ten thousands digit of b(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, 0 in increasing order.\nAnswer: -13, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/8)\/((-306)\/(-323)) - -8*(-35)\/(-168).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 + 2*i**2 + i + 1. Suppose -4*y + 7 = -9. Suppose p - 4*p = 5*n - 6, 4*n + 8 = y*p. Give a(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 26*i**3 + 7*i**2 - 7*i - 9. Let u(n) = -13*n**3 - 3*n**2 + 3*n + 5. Let f(q) = -3*m(q) - 7*u(q). What is the first derivative of f(c) wrt c?\nAnswer: 39*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 23*f + 2*f**4 + 2 + 22*f - 2*f**3 - 6*f**2 - 5*f to the form v*f**2 + l*f + y*f**3 + k + o*f**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19790 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.23979 and -3915.4.\nAnswer: -3918.63979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) 2\/13 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 1)*(42 - 2). Calculate the greatest common factor of 16 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 1 - (-5 + 2). What is the third smallest value in a, 4, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1048*r - 2110*r + 991*r.\nAnswer: -71*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 55005882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 6. Suppose o*c + 60 = 7*c. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 - 22007?\nAnswer: -21877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35231.\nAnswer: 7, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*y + 12442535 = 12433264 for y.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2848.256 - -103\nAnswer: 2951.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.27 - -2.73. Let h = -5 - -29\/6. Which is the smallest value? (a) 2 (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from {u: 1, p: 1, c: 1, d: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -866\/3 + 288. Put 2, -0.3, 5, l in increasing order.\nAnswer: l, -0.3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -282909968*q**3 + 544574397 wrt q.\nAnswer: -848729904*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + b = 11, -18 = -4*x + 12*b - 14*b. Find the first derivative of -25*s**4 - 193 - s**x - 8*s**4 + 4*s**2 wrt s.\nAnswer: -132*s**3 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3851 + 3856. Solve -3*m - 7 = -t, -4*m + 1 = z*t - 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 318133 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14916 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 + -170. Suppose 2*v - 72 = t*n + 4, -3*v + n = -114. Does 26 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**5\/2 - 27855*i**4\/2 - 250627*i**3\/2 - 361989*i**2\/2 + 125314*i + 194922 = 0.\nAnswer: -27846, -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 1\/5, 764 in decreasing order.\nAnswer: 764, 3\/2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 0 - 4*r - 31\/3*r**2 - 9*r**3 - 1\/3*r**5 - 3*r**4 = 0.\nAnswer: -4, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + (-3)\/9)*3075\/50. Which is greater: r or 25?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 8. Let t be k\/(-20) + (-216)\/(-15). Let b be 2\/(-7) + 326\/t. Solve 3*w = -4*l - b, -l = w + 4 + 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657886 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1347*b**2 + 129*b + 611. What are the prime factors of s(-4)?\nAnswer: 21647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -35, 4, 71, 172, 313, 500?\nAnswer: 739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383*r**2 - 1886*r**2 + 337*r**2 + 247*r**2 + 294*r**2 + 386*r**2.\nAnswer: -239*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 + 10 + 1987*a + 6*a**3 - 16123*a.\nAnswer: 6*a**3 - 14136*a + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.7. Suppose -3*u + 3 - 9 = 0. What is the smallest value in z, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**4\/12 + 5*v**3\/6 + 19*v**2\/2 - 6*v. What are the prime factors of k(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 1. Let z = 577.2 + -577. Which is the nearest to 0.1? (a) z (b) w (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*j - 68*j - 75*j - 68*j.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Suppose 0*m = -4*m - 104. Let r = m + 30. Is f equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5467718, 5467714, 5467706, 5467694, 5467678?\nAnswer: 5467658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -101888\/285 less than -358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3073942, 3073861, 3073726, 3073537, 3073294?\n\"Answer: -27*l**2 + 3073969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 3 - -14 - 42\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - 1b?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 972 - 970. Solve u + 8 = k, -3*u + 0*u + o*k - 20 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (48 + -59)) + 0 + -28 - 15\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 108\/11 - 767\/77. Sort -3, 15, w in decreasing order.\nAnswer: 15, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-100)\/6*9\/6. Let n = -23 - k. Suppose 0*q + 0 - 3\/4*q**n = 0. What is q?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 q, and 1 a when four letters picked without replacement from {v: 6, c: 2, a: 1, q: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 4*t - 14276, -5*n - 5*t + 29305 = -42030. Is 26 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3. Let p be v(-1). Let c be (-4)\/((-8)\/6)*p. Suppose 0 = -2*r - 4*g, -c*r - 2*g + 4 = -0*r. Solve -4*k + r*k + 4 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*z**2 + 4*z**2 + 11*z**2)*(-6*z - 16 + 16)*(-2*z**2 + 1 - 1).\nAnswer: -156*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -80 and -1212520.\nAnswer: 97001600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v**2 - 3*v + 2. Let p(b) = -20*b**2 + 10*b - 7. Let h(g) = 6*p(g) + 17*t(g). What is y in h(y) = 0?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166786?\nAnswer: 2, 89, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/889888 and -1\/4338204?\nAnswer: 34705632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (545*m - 1229*m + 621*m)*((3 + 0 - 1)*(-8*m + 55 - 55) - 3 + 3 - m) to h*m + f + a*m**2 and give a.\nAnswer: 1071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16 + (0 - 0 - 0). Let q be 2*-5*(-3)\/2. Let k = q - -49. What is the highest common divisor of k and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 0.3. Let i be (-56)\/(-10) + (-2)\/(-5). Let f be i\/(-7)*(-1)\/(-2). Sort -5, k, f in decreasing order.\nAnswer: k, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4) + 41\/4. Suppose 2*h + 0*h = -14. Let m = h + i. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w + 13. Let s be f(3). Which is smaller: 12 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4194 + 4197. Suppose -3*a + 22 = -f, 2*a - 2*f = 5 + 15. Solve -a = v - y*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -421.\nAnswer: -252.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 11 = -15. Determine h, given that 20*h - 22*h**4 - 4 - 40*h**2 + 38*h**3 - 349*h**5 + x*h**3 + 353*h**5 + 2*h**4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 (base 14) in base 3?\nAnswer: -200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 2\/(-7) - 232\/(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1162440 by 30.\nAnswer: -38748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1882, 3765, 5646, 7525, 9402, 11277, 13150?\n\"Answer: -h**2 + 1886*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/7 + 1234*c**2\/7.\nAnswer: 2*c**2*(c + 617)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69726939.\nAnswer: 3, 23242313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4)*(-7)\/((-28)\/(-24)). Solve -3*w = -x + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 3*z**2 + 71*z + 1457. What are the prime factors of o(-16)?\nAnswer: 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 620 and 20770?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 68\/((-2040)\/(-210))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 h, 1 a, and 1 d when four letters picked without replacement from duhal?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 203291*f*m + 85*m - 1233 wrt f.\nAnswer: 203291*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -236, -495, -858?\nAnswer: -1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 469, 952, 1769, 3082, 5053, 7844, 11617, 16534?\n\"Answer: 27*f**3 + 5*f**2 + 279*f + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40045135 - 3?\nAnswer: 40045132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 79.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3 - 7*x**2 + x**3 + 1 - 2*x**3 - 7*x. Suppose 0 = -4*q + 3 + 13. Let k be q - (1 + 2) - 7. What is m(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65587 (base 14) to base 11.\nAnswer: 158344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 42 = 2*v - 4, 5*l + 3*v = 55. Calculate the greatest common divisor of 728 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/6)*l*l**(-2))**(2\/41))**(-1\/2) assuming l is positive.\nAnswer: l**(5\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-4 - -126) - -1. Let d = h - 65. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -10*t + 5*t + 25, -2*t + 2*n - 8 = 0. Let j(w) = -5*w**2 - 38*w - 17. Let d be j(-7). Solve -17 = -d*s - t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.552 - 0.092. Let z = v + -4.96. Put -2, -0.3, 0.7, z in decreasing order.\nAnswer: 0.7, -0.3, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 1, b: 1, i: 2}. Give prob of sequence iis.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*o - 10. Let q be o\/4 + 2 + -26. Let d = q - -43. Do 18 and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 3) to base 5\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 14)*(3*m**4 - 3*m**4 + 3*m**4) - m**4 + 5*m**4 - 2*m**4 to the form g*m**3 + l*m + c*m**2 + h + p*m**4 and give p.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87.1 - 87.4. Let l = 199 - 266. What is the second biggest value in u, l, 1\/6, 0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -1)*(-300 + -577). Solve 869*m - i*m = 24 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 3:07 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -280a - 3?\nAnswer: -2812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12.4 and -59683516.1.\nAnswer: -59683503.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*w**5 - 14*w**3 - 256*w wrt w.\nAnswer: -80*w**3 - 84*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-60)\/18*(-81)\/3. Let v = -7 - -25. What is the greatest common divisor of l and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 68513327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1539))**2 - ((-2*sqrt(209))\/sqrt(11))**2.\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, 1, 1\/8, 3, -2, 9\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -3\/4, -2\/117, -8\/9, -0.3, -1?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*s - 1 = 0, -4*s + 1 = -5*s. Let c(b) = b**2 + 495*b + 1494. Let u be c(-3). What is the second smallest value in x, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o = 4 + 74 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 1027604741808?\nAnswer: 1027604741812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 16*x**4 + 11*x**3\/3 + 11*x**2\/2 - 895*x. What is the second derivative of m(y) wrt y?\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b. Let g(w) = 2*w**2 - 7*w + 2. Let z(u) = -g(u) - 3*h(u). Suppose z(c) = 0. Calculate c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*j = -3*z + 16, 3*j = -3*z + 15. Suppose 3*m - 4*k = 413, z*m - 5*k - 404 - 8 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + -3 - 8) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 9*d + 18. Let p(r) = r + 2 + 3*r + 0 + 7. Let f(x) = 13*p(x) - 6*z(x). Let l(g) = g**2 - 5*g - 8. Let a be l(7). Calculate f(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -7*l - 81. Calculate n(-14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 - 5)*(-4 + 3 + 3)*(3 - 3 - c)*(-5 + 0 + 4)*(-1 - 2 + 1).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 18*z + 2. Let j = -1072 - -1096. Calculate the remainder when w(9) is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 263 = 4*j - 288, -2*j = -4*c + 46 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -50.8 - 0.072\nAnswer: -50.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 12. Which is bigger: 50 or b?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120121220 + 113?\nAnswer: 120121333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 13979.6.\nAnswer: -13974.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**1*s)\/s*s\/((s*s**(2\/3))\/s*s))\/(s**(-2\/9)\/(s\/s**5)))\/((s\/s**(-2\/5))**(-3\/4)*(s**(-2)\/s*s*s)\/(s\/((s**(-1)*s)\/s))) assuming s is positive.\nAnswer: s**(109\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/2345 and -25\/7?\nAnswer: 2345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**2 - 2*d + 1. Let h(x) = 3*x**2 + 3*x - 2. Let f(s) = 5*h(s) + 4*y(s). Calculate f(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g + 53. Let c be i(-8). Suppose s - 74 = -4*t, -2*t - c*s = -45 - 1. Calculate the highest common divisor of t and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 3 - 4 - 1 - 9377*z + 10258*z to the form k + c*z and give c.\nAnswer: 881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-4) - (0 + 2). Let v be (2\/w)\/((-12)\/18). Let d = 178 - 167. Calculate the greatest common factor of v and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -65, -3, -5, -22, -6, 0 in descending order.\nAnswer: 0, -3, -5, -6, -22, -33, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -81\/14, -27, 47.\nAnswer: -27, -81\/14, -3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - f - 15 = 0. Suppose 3*j = -f*j + 3944. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -593614, -1187112, -1780594, -2374054, -2967486?\nAnswer: -3560884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 10*z**2 - 14*z - 31. Calculate a(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31.6 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, c: 1, n: 2, w: 1, a: 2, o: 2}. Give prob of picking 2 o and 1 f.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3083 - -27715\/9. Let d = -2673 + 24028\/9. Calculate the common denominator of d and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one fifths of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10116 + -15?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -114973\/17 - -6763. Which is the second smallest value? (a) -1 (b) j (c) 0 (d) -16\/13 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3733 = 2*c - 2*i + 611, 4*c - 5*i - 6241 = 0. List the prime factors of c.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 55. Let r(i) = -i**2 - 115*i - 541. Let m be r(-5). Let g(w) = 4*w - 221. Determine m*l(s) + 2*g(s).\nAnswer: -s + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 16*s**2 + 32*s + 61. Give c(-18).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003691517959 rounded to 6 dps?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*p + 2*p + 12 = 0, 0 = -3*i + 4*p + 5. Differentiate 2 + i + 9375*f - 9489*f wrt f.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**2 - 1551611 + 1551611.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 596580840 to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*w - 2 + 138*w + 123*w - 645*w + 111*w + 103*w.\nAnswer: -52*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 10806.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h + 7. Let u(m) = 23*m + 40. Let o(y) = -34*g(y) + 6*u(y). Let c(x) = -3*x - 3. Suppose -22*t = 83 + 27. What is t*o(z) - 4*c(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10868 is divided by 4329.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1468884554?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 2*s + 107, -3025 + 2454 = -25*g - s for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 318*t**2. Let c(b) = 21*b. Let n(g) = 17*g. Let q(r) = -4*c(r) + 5*n(r). Calculate q(p(x)).\nAnswer: 318*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10136807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/11550*-2490*(-55)\/(-10)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, k: 3, s: 3, r: 1, h: 2}. What is prob of sequence sss?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 13*b + 84. Let t be v(-6). Let z(l) = -6*l + 3*l + t*l - 2*l. Let k(s) = 12*s**2 - 2. Calculate k(z(f)).\nAnswer: 12*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3*(-11)\/11)\/(12\/(-72916))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 73 = -223. Suppose 2*h = -3*h + g. Suppose h*c - 30 = 3*c. Solve 5*p = -3*t + 8 + 20, -2*p + c = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.44847 millilitres to litres.\nAnswer: 0.07844847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3290 divided by 470?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b25 + -b0696?\nAnswer: -ab771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 18 + 90. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 1659 = -5*l + 18*y, l - 5*y - 355 = 0. Solve -3*d**4 + 92*d**3 - 908 + 171 - 313*d**2 + 1360*d - l*d**2 - d**4 - 63 = 0 for d.\nAnswer: 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.667835 tonnes to micrograms.\nAnswer: 1667835000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 9:17 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -4. Suppose 5*m - 2*m = x*s + 23, s = -5*m. Let z = 12\/11 + -13\/22. Sort z, m, -4 in decreasing order.\nAnswer: m, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 10 = -4*x, 0 = -3*x - l - 2*l + 6. Let y be (7 + (-549)\/81)*27. Solve -y*c + c - 20 = x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(49\/2))\/(2\/(-14))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from rgzgzgg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 + 26?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 106*t**2 + 2. Let w be u(2). Calculate the common denominator of (2 + 2)*w\/48 and -91\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (15 - 27 - -12 - -68)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2228*u**4 - 2091 wrt u.\nAnswer: -8912*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 377 + -74. Let v = -154 + q. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-26)\/(-48)*280\/168 and 83\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3 - 1)\/(17 + -13))\/4.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*x - 4*m = 0, -x - 10 = 3*m. Let f(v) = 3*v + 4. Give f(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17 (b) 1019 (c) 6\/11 (d) -519 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -693, -2629, -5855, -10371, -16177, -23273, -31659?\n\"Answer: -645*g**2 - g - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*n - 3*v + 30, -10*n - 3*v = -61 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 3256 = 2*x. Calculate the highest common divisor of 22 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9 + 3*r**2 - 2*r + 1133*r**3 + 1089*r**3 - 12. Let t be y(-1). What is t rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.47 rounded to 0 dps?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 27*j**2 + 2*j - 1. Let w be v(1). Let n be 1\/(-1 - (-18)\/15). Suppose 0 = -3*t + w + n. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 4*o - 45, -2*f - 5 = -f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 11. Let q be l(-10). Let v be q\/3 + (-5)\/(-3). Solve -i = 2*k - 3, -4*i + 4 = -v*k + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(-2)\/(8\/(-6)). Let f = -12 + 6. Is f\/(-9)*333\/g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1\/5, 87, 1\/10, -23, -22.\nAnswer: -23, -22, -1\/5, 1\/10, 2\/5, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmyyylmlmmmy. Give prob of picking 1 y, 1 m, and 2 l.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7149?\nAnswer: 3, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 36*m**3 + m**2 + 738*m - 4400. Let j be u(6). Calculate the greatest common factor of j and 240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214887520 divided by -8?\nAnswer: -26860940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 15344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5, -20, -55, -116, -209, -340, -515, -740?\n\"Answer: -n**3 - 4*n**2 + 4*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/10)\/((-28)\/(-95295)). Let w = g + -1364. Calculate the common denominator of 801\/(-96)*6\/(-9) and w.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 46 = -5*t - 34, 5*h = -4*t + 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + -1 + sqrt(13) + -4 - (2 + 2*sqrt(1053))**2).\nAnswer: -16904 - 284*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 16*k - 27370. Is 46 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914015 is divided by 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 382\/649 + -24\/59. Which is smaller: -7 or r?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 5*s + 9. Suppose -2 = t + 1, -5*i = -2*t + 24. Let z be u(i). Find the second derivative of 14*a - 34*a + 6*a**2 + 9*a**2 - z*a**2 wrt a.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3244*j - 110954 = -417*j + 47358 for j.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 + 0*s**3 - s**4 + (-2*s**2 + 0*s**2 + 0*s**2)*(2*s**2 + 0*s**2 - 4*s**2).\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534821979.\nAnswer: 3, 178273993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331992 is divided by 165995?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 2:52 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1008 divided by 172326.\nAnswer: -24\/4103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/11 (b) 5 (c) 2\/13 (d) 1\/4 (e) -0.03 (f) -369 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*1*sqrt(18))\/(sqrt(99)\/(2*sqrt(11))))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1181 + 96*a - 1181 + 7*a - 2*a - 2*a + (0*a + a - 3*a)*(-2 + 0 - 2).\nAnswer: 107*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 12*v - 21 = -8*v, -5*b = v + 67. Let d(u) = u**3 + 13*u**2 + 1. Let o be d(b). Let c = -0.7 - -0.2. What is the biggest value in o, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 651\/14*(-3)\/(-54) and -79\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -296, -695, -1258, -1985?\nAnswer: -2876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 10*f - 10. Let p be d(-8). Let s = -3685 - -3685. Solve s*q = p*q + 18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(10)\/sqrt(2)))\/((-2*(sqrt(10) - sqrt(70)\/sqrt(7)) + sqrt(10) - sqrt(10)) + sqrt(10)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -27 + (6 - 2) - 11\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2)*(-64 + 64). Suppose -9 = -3*g, 2*j - g - 377 - 1588 = h. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 42*w**3 - w**2 - w. Give p(-1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.527 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*k**2*w + 923*k**2 + 4*k - 998089*w with respect to k.\nAnswer: 54*k*w + 1846*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**21\/(h\/((h*h**0*h)\/h)*h) assuming h is positive.\nAnswer: h**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 + v - 31. Let t(m) = -15*m**2 - 7*m + 216. Let z(p) = 35*g(p) + 5*t(p). Let r(o) = -4*o**2 + o - 4. What is -3*r(u) + 2*z(u)?\nAnswer: 2*u**2 - 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 13 = 3*y, 13172 = -2*o - 2*y + 13196 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120002 (base 3) in base 8?\nAnswer: -2160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 22*l**2 + 2 + 22*l**2 - 10*l - 5*l**2. Let g be w(7). Suppose 24 + g = u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/104 and -61\/8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - 1110011?\nAnswer: -1101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155422 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10712.04 + 10712. Let n(g) = g**3 + g. Let s be n(2). Suppose -7*h - s = -2*h. Sort 5\/3, h, 5, z in descending order.\nAnswer: 5, 5\/3, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 11:44 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/((-54)\/(-3)) + 651\/(-672) and -5\/176?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, -1, -16 in descending order.\nAnswer: 124, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dwevelkdeddw.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2857, -5521, -8181, -10837?\n\"Answer: 2*s**2 - 2670*s - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 6. Let a(j) = -j**2 - 1. Let k(t) = 1. Let p(o) = x*k(o) - a(o). Let u(s) = -s**2. Determine p(u(c)).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -1015836?\nAnswer: -1015833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12673229, 25346457, 38019685, 50692913?\n\"Answer: 12673228*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2328545 and 1539.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 534, 1182, 1870, 2586, 3318, 4054?\nAnswer: 4782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/3557 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 8 = -5*f, -q = 3*f + 889 - 883 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6258 + -6230. Let z(c) be the first derivative of g + 1\/9*c**3 + 10\/3*c + 7\/6*c**2. Factor z(p).\nAnswer: (p + 2)*(p + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*d + 10. Suppose b - 3*z + 1 = 0, -3*b - z - 2*z = -9. Let s(q) = -2*q + q**2 - 6*q**2 + 1 + b - 2. Determine s(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 0*d**3 - 7*d + 0*d**5 - 1\/3*d**6 + 2*d**2 + 0*d**4 + 0. Differentiate a(j) wrt j.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 9*c + 9. Let x be f(-9). Let q be (-22 - -22)\/(1*4\/(-2)). Sort q, 2, x in decreasing order.\nAnswer: x, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**5\/60 + 7*y**4\/12 - 8*y**3\/3 + 3*y**2. Let f be m(12). What is the greatest common factor of f and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**6\/18 - q**5\/15 - 2*q**4\/3 + 4*q**3\/3 + 61. Factor z(g).\nAnswer: g**2*(g - 2)**2*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -15*f + 39. Let h(o) = 7*o - 20. Let m(r) = -13*h(r) - 6*t(r). Let s be m(0). Suppose -5*v + s = -64. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39084630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 + 3*x**4 - 3*x**4 + (x**4 + 0*x**4 + 0*x**4)*(4 - 3 - 2) + 2*x**4 + 0*x**4 + x**4.\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 8. Let s(p) = -p**2 + 9*p + 10. Let l be s(t). Suppose l*g - g + 53 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1439 * 2.2\nAnswer: 3165.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(24)\/(sqrt(36)\/sqrt(3)))**2)*1 + -5 - ((-1*(sqrt(50) - sqrt(2)))**2 + -4 + -1 + sqrt(2)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 56. Let n be w(0). Calculate the remainder when (n\/(-10))\/(4\/(-10)) is divided by (-5)\/2*1*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*n = 5*l, 0 = -n. Let z = 2 - l. What is the third derivative of b**2 + b**4 - 9*b + 9*b + 3*b**z wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2546688 divided by -256?\nAnswer: 9948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 648\/4680*(-3 + -7).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w = 46*w + 32 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/16 (b) 4 (c) 570 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10184 and 9179.\nAnswer: 1395208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 m when three letters picked without replacement from {s: 2, q: 1, z: 1, b: 2, m: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-116)\/(7540\/39))\/((-6)\/205).\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 4*j + 2. Let m = -18 + 13. Let i(g) be the third derivative of g**5\/20 + 3*g**4\/8 - 5*g**3\/6 + g**2. Give m*v(x) - 2*i(x).\nAnswer: -x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 2, t: 2}. What is prob of picking 2 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.34216.\nAnswer: 0.068432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -135625066816 - -173\nAnswer: -135625066643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmu when three letters picked without replacement from {u: 1, j: 3, m: 1, l: 10}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-350)\/(-14))\/(137\/(-137))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7449393 divided by 240303.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/(-2)*-1)\/2. Put n, -3, 4 in decreasing order.\nAnswer: 4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, y: 1, b: 4, k: 8, l: 4}. What is prob of picking 1 b, 1 y, and 2 l?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-13) - -2 - 68444\/87724.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.038231\nAnswer: -0.191155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 45*o**2 + 11410*o - 5080 = 0?\nAnswer: -254, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - 5*b**3 - b**3)*(b + 177 - 62 + 47).\nAnswer: -5*b**4 - 810*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18724 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)\/(o*(o\/o**(-1\/2)*o)\/o))**(-36) assuming o is positive.\nAnswer: o**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 - 52*p**2 - 375*p - 9724. Calculate a(-26).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 2\/9, 0.03, 4, -2\/19?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 14\/31 (c) 0.1 (d) -255.6 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71378.\nAnswer: 2, 89, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 186*v**2 + 2 - 946*v**2 - 21*v**2 in the form d + y*v + s*v**2 and give s.\nAnswer: -781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67137450 divided by -141342.\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12014086879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one fifths of a hour?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/4862 and 18\/6181931.\nAnswer: 1768032266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -60806, -60794, -60782, -60770, -60758, -60746?\n\"Answer: 12*s - 60818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**3 - 4*b**2 - 6*b - 11. Let w be (6\/(-8))\/(-4*5\/(-80)). Let f be h(w). What is the highest common factor of 25 and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 19*m - 37*m + 9*m. Let l(z) = 2*z**2. What is j(l(f))?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 20*q**2 - 47*q + 66.\nAnswer: (q - 22)*(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 7, -14, -43, -80?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*o - o = -39, o - 139 = 5*c. Let v = 45 + c. Suppose q - 2*b = 73, 0 = -b + 3 - 5. Calculate the remainder when q is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btt when three letters picked without replacement from tztbbbtzbbzbbt?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1698926 to 4 decimal places.\nAnswer: -1.1699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3303 and 6.\nAnswer: 6606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, f: 3, d: 6, q: 1, w: 1}. Give prob of picking 1 f and 1 w.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 197.0000036 + -197. Round t to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/44*(-144)\/(204\/(-17))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -5, 88\/7, -0.3, 2 in descending order.\nAnswer: 88\/7, 2, -2\/11, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9369659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z + 5. Let j(r) = -2*r + 2. Let h(l) = -3*b(l) + 7*j(l). What is h(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -77, -76, -23, 106, 335?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -1. Let s(o) = 3*o**2 + 1. What is -s(p) + 3*z(p)?\nAnswer: -3*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from {v: 8, t: 2, d: 5, z: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -114*l**4 + 226*l**4 + 2*l - l**2 + l - 113*l**4 - l - 41*l**3 in the form s*l**3 + k*l**2 + n*l + q + i*l**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 2*u + 3*t, -26*u + 3*t = -29*u + 33 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3350 by -2.\nAnswer: 1675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*y - 133*y + 2573 = -250*y for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 3631413415451.\nAnswer: 3631413415455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4067560 or 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -38*i**3 + 3*i**2 + i + 1. List the prime factors of g(-2).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19884 is divided by 324?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 + 3 + 3 - 5 - 7*p**2 + 0*p**3 to the form z*p**2 + i*p**3 + a*p + g and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3580 - 1252 - 1164 - 1166 + 73*w.\nAnswer: 73*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c = -52*c + 28 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*h*k**3 - h*k**2 - 2*h - 52*k**3 - 2371*k**2 wrt k.\nAnswer: 66*h - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(8\/18 + 89\/1602). Calculate the greatest common divisor of 268 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -51)*6\/15. Solve 0*c + 3*q - 35 = -4*c, -q = 3*c - f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3396664 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 y when four letters picked without replacement from {k: 4, i: 1, w: 3, b: 2, y: 6}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9191912.658 plus 2?\nAnswer: 9191914.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 100011?\nAnswer: 11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/1389305 and 1\/4865.\nAnswer: 9725135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 491143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03026 to three decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10283946 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 153259*k**3 + 153338*k**3 - 7 - 306589*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (142\/(-4))\/(5\/(-30)). Suppose 3*m - w = 1830. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1*((-12)\/((-6)\/1))\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 9:54 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - 6*f - f**3 + 0*f**3 - 5*f**2 + 5. Let m be i(-6). Solve 4*o + 19 = -c, m*c = 2*o + 15 - 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p - 2. Let b be s(3). Let m be 62\/(-3) + 1\/(-3). Let u = b - m. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**2 - 12*j + 33. Let u(y) = -2*y**2 - 13*y + 32. Let z(n) = 4*u(n) - 3*v(n). Let t = 25 - 11. Let k be z(t). Are 3\/11 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + 0 + (0 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -575654*m - 730. Let r be q(5). Round r to the nearest 10000.\nAnswer: -2880000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*l - 35 = 0, -2*j = 2*l - l - 85. Suppose 0*w = -2*w + j. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + sqrt(34)\/sqrt(2) + sqrt(612) + 2 - (-1*1*sqrt(17) - (2 + sqrt(612)))*3)**2.\nAnswer: 560*sqrt(17) + 13428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 6. Suppose -j + 0*j + 10 = x. Calculate the remainder when 18 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 2883?\nAnswer: 5766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1428, 2882, 4340, 5802, 7268?\n\"Answer: 2*i**2 + 1448*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 2 - 1)*(-1 + 0 - 4)*(-3*s**2 + s**2 + 0*s**2) in the form j*s + w*s**2 + q and give w.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15198, -14088, -12980, -11874, -10770, -9668?\nAnswer: -8568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*l - 1 + 9 - 9)*(l**3 - 2*l**3 + 2*l**3)*(27 - 15 + 8).\nAnswer: -220*l**4 - 20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/48*2)\/((-6)\/1064). Are n and 43 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224) + sqrt(224)*2)*5)\/(-6*(sqrt(1152)*2 - sqrt(8))).\nAnswer: -5*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 4) + 1 + (3 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 minus 422?\nAnswer: -421.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 393857 by -4.\nAnswer: -393857\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34417 is divided by 81?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 13 - (4 + 0 - 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - w + 6 = 0, -3*s = w + 3*w - 4. Let y(u) = 6 - 3 - u + s. Let v = -7 - -7. Calculate y(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -324 divided by -324\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u + 6. Let f be s(-5). Suppose -4*v = -3*x + f, 8*v = 3*v + 10. What are the prime factors of x\/2 - (-1)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -53 + 1738*q - 1736*q + 17. What is c(10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1564)\/138)\/(2\/6)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Let v(m) = -4*m + b + 4 + 6*m. Let j be v(-10). What is j rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-12)*2)\/(1\/(-124)). Suppose 0 = -5*w + 3*k + c, -3*k + 7 = w - 9. What is the remainder when 64 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 11 - 9. Differentiate 5*p**v + 19 - 13*p**4 - 24 with respect to p.\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5095, -5099, -5115, -5149, -5207, -5295?\nAnswer: -5419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 1 - (-4 - -33) - 14.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 - 6*h**2 + 15*h**2.\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 81844321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9*i + 5. Let l be j(5). Let f = l + 16. Is 22 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3626071636 to the power of 1\/3, to the nearest integer?\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -71*g + 76*g + 30 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.9, 5\/3 in ascending order.\nAnswer: 0.9, 5\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*a + 15 = 0, -4*a = -5*g - 2*a - 21. Put 3, -5, g in ascending order.\nAnswer: -5, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*v - 59 = 0, -f + 4*v = -5*f + 92. What is the remainder when 68 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 333\/(-210)*(-2)\/(-3) and (-212)\/(-30) + (1278\/18 - 84).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 8, 1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -b1dc (base 14) in base 11?\nAnswer: -20a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1465 or 0.2?\nAnswer: 0.1465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 - 3 - 3 - 3.\nAnswer: -3*v**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**6\/144 - k**4\/8 - 6*k**2. Let s(a) be the second derivative of d(a). Let c(t) = 2*t. Give c(s(q)).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 78 = 5*s - 7*a, -3*a = -s + 20. Suppose -8 = 3*l - s. Put 2\/7, 5, l in ascending order.\nAnswer: 2\/7, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 greater than or equal to 559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5 = -2*o + 4, -2*z - o + 1 = 0. Let k(i) be the first derivative of 3*i + 1\/3*i**3 + 0*i**2 + z. What is k(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 963 and -99.\nAnswer: -95337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 3:18 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 13*l**2 + 129*l - 14. Calculate a(-11).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 6*r + 11. Let q be a(7). Let j be q + 4\/(-3 - 1). Factor -18 + 10*p**2 + 6*p**j - 2*p**3 + 6*p - 2*p**3.\nAnswer: 2*(p - 1)*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, i: 9, g: 4}. Give prob of picking 1 q and 3 g.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, d: 1, k: 1, v: 1, z: 1}. Give prob of sequence djv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13626 rounded to the nearest one hundred?\nAnswer: -13600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/18 and ((-116)\/15)\/4*(-32)\/80?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**2 + 25. Let z(s) = 46*s + 43*s + 47*s + 45*s - 189*s. Give m(z(k)).\nAnswer: 256*k**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 192*p**4 - 6975408*p**3 + 15694020*p**2 - 11770353*p + 2942568.\nAnswer: 3*(p - 36328)*(4*p - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56430.6 + -1355953.\nAnswer: -1412383.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1249bc (base 14) to base 2.\nAnswer: 10011001001101101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3*s**2 - 56*c**3*s + 4*c*s + 68*c - 2*s**2 wrt c?\nAnswer: -12*c*s**2 - 336*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 162 divided by 54\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or 5.5682?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5326 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 20 = 5*n - 8, -3*g + 12 = -n. Let p = -12 + 27. Suppose 0 = -5*d + 5*u - 15, 2*u + g*u = p. Let k(b) = b**3 - b**2 - b - 2. Determine k(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91*3\/(-9) + ((-3080)\/105 - -29)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 213120600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = -3*f. Let q = 240 - 255. Find the common denominator of (f + 81\/75)\/(q\/(-325)) and -43\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3 = a - 8, 5*a = -5. Let g(r) = -1 + 0 - 8*r**3 - 5*r - d + 0. Let c(y) = 15*y**3 + 9*y + 9. Give -6*c(i) - 11*g(i).\nAnswer: -2*i**3 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 10*c**2 + c - 8. Let r be q(10). Suppose 4*i = r*i + 20. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5508)\/(-240))\/(-153))\/(-9)?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 4:46 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 41*a**3 + a**2 - 1. Let c be s(-1). Let t = 27 - 89. Let o = c - t. Solve r - 5*z + o = 0, 0*r + 2*z = 2*r + 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g - 33. Suppose -3*j + 28 = j. Let q be y(j). Factor -2\/7*p - 2\/7*p**q + 4\/7.\nAnswer: -2*(p - 1)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21350.6 less than 0.47?\nAnswer: -21350.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 428 and 72?\nAnswer: 7704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + z - 1)*(-3*z + 2*z + 2*z)*(4 + 6 - 4)*(1 - 5 + 2) in the form n*z + o*z**2 + t and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 1 - 4*p + 0 + 8 - 1. Let f be k(-8). Is 7 a factor of (2 - 11)\/((-6)\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(sqrt(33)\/sqrt(3) + -2)*-1.\nAnswer: -24 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 542*w**2 + 4*w + 7. Is b(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -5*x - 541 + 361, -x = 5*u - 39*x - 1267 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 320366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 19*c**2 + 21*c + 14. Determine u(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 24*b**2 - 1751*b + 31976. Determine z(35).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((-2380)\/(-425))\/((2\/(-10))\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, 196, 3, 4\/3, -2\/11, 0.1 in ascending order.\nAnswer: -2\/11, 0.1, 4\/3, 3, 77, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2281.5 rounded to the nearest 10?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 - 11*d + 47 + 12*d to o*d + s and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/20*85\/102.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 176 = -5*t + 4, -4*t - 3*g = -137. Calculate the remainder when t is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -12*v + 252. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 7. Suppose -k - 3*t = -t - 50, -t + 4 = 0. Suppose -5*w + k = -3. Determine v(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6311*a + 6044*a = 2136 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1029255 divided by -2.\nAnswer: 1029255\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*u + 229*u = 1117*u + 20640 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48429454 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**3 + 12*s**2 - 10*s + 29. Let i(w) = w**3 - 3*w**2 + 2*w - 7. What is 9*i(p) + 2*n(p)?\nAnswer: -p**3 - 3*p**2 - 2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 0. Let q(g) = 3*g - 2. Let w be q(2). Suppose -w*y + 5 = -3*y. Sort y, -5, r in decreasing order.\nAnswer: y, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c + 3*c - 3*c**2. Let l(t) be the second derivative of t**4\/24 + t**2 - 3*t. Let g(j) be the first derivative of l(j). What is g(d(y))?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**6\/120 - f**5\/5 + 4*f**3\/3 + f**2. Calculate the smallest common multiple of l(12) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 - 4025787?\nAnswer: -4025772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 27. Let f be (-35)\/98*(-4)\/x. Factor f*h**2 - 12\/7 + 10\/7*h.\nAnswer: 2*(h - 1)*(h + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11263, 11221, 11145, 11029, 10867, 10653?\nAnswer: 10381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -5, 0.09, -3 in ascending order.\nAnswer: -5, -3, -4\/5, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**2\/3 - 657*h - 37088\/3 = 0.\nAnswer: -1952, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 11*u - 55 = 0, 5*w + 770*u + 167 = 772*u for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + i**2 - 166*i**4 - 2*i**3 + 328*i**4 - 3 - 166*i**4 + 2 as r*i + j*i**4 + n*i**3 + u*i**2 + s and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = i + 22 + 8, -y + i + 14 = 0. Let x be (6\/16)\/(y\/128). Solve m + 5*u = 2*m - 12, 0 = -x*m - 3*u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -277688 - -231?\nAnswer: -277457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.2642+661\nAnswer: 660.7358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*n + 56. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 382\/1 - (-10 + 10). Let r = i - 179. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121 = 12*l - 1 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 1 - 651\/(-7). Suppose 0*d + 5*d - m = 0. What is the smallest common multiple of d and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 9:17 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - t + 47 = -q, 3*t - 51 = -3*q. Let h = q - 11. Suppose v - 4*m = 23, -2*v - 19 = m + 4*m. Solve 0 = v*g + 3*x - 3, 2*g + h = 4*x + 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 + d**2 + 2. List the prime factors of p(-2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1.9, 3\/2, 3, 472?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9242.\nAnswer: 2, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c - 9. Let p(k) = 5*k - 5. What is 7*p(j) - 4*x(j)?\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -242553, 24 in descending order.\nAnswer: 24, 4, -242553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3821?\nAnswer: 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-3)\/(-57)*4028\/(-21412).\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 87.8, 5, -0.1 in decreasing order.\nAnswer: 87.8, 5, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/4)\/g**(-2\/21))\/(g*g\/g**(2\/17)*g*g*g\/(g*g**(-3\/2))*g)*(g**1)**(-15\/8)\/(g**3\/g*g*g**(-2)) assuming g is positive.\nAnswer: g**(-28309\/2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 - -0.45. Let q be ((-8)\/(-42))\/((-14)\/(-49)). Which is the smallest value? (a) 3 (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151872 divided by 6\nAnswer: 25312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-4*sqrt(78)\/sqrt(3))\/(3*(sqrt(2) - sqrt(18))) + (sqrt(52)\/(sqrt(28)\/sqrt(7)) - -4*sqrt(26)\/sqrt(2)))**2.\nAnswer: -7514\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -55012?\nAnswer: -55013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 22*s + 7. Let a be b(-22). Solve 3*l = a*l + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 4*c + 12. Let o = -172 - -176. Let i(n) = -2*n - 12. Let g(r) = o*i(r) + 3*t(r). Let d(l) = 2*l**2 + l - 4. Determine 10*d(m) - 3*g(m).\nAnswer: 2*m**2 - 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -1)\/((-3)\/(-6)). Suppose -3*s = -5*t + 1, i*s - 13 = -s + t. Let k be 1\/(-9)*(35 + -152). Solve -s*w - n = -3*n + k, -2*n = -4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 10*z + 12. Let l be -5311*1\/4970 - z. Let k = l - 1\/355. Find the common denominator of k and -17\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.070393 to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -q - 5*z, 3*z = 2*z - 3. Let f = -6 - q. Solve -15 = -2*a + 3*s, 3*a - f = -a + s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 55078 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*y + 11*y + 2*y**3 + y wrt y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/28 - -1\/4. Let x be 4\/8 - (-254)\/(-4). Let g be 3\/x + 4\/(-14). Which is smaller: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87 and 57.\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -98*z - 5044. What is m(-59)?\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 166, 169, 174, 181?\n\"Answer: a**2 + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**5\/12 + 5*k**4\/36 + 8*k. Suppose i(c) = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 14*o - 18. Let r be y(8). Let j be ((-2)\/(-3) - (-10)\/r)*-11. Let n = 107 - j. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*2\/27*(131\/6)\/(-131)\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 283878864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -187, -389, -605, -835, -1079?\n\"Answer: -7*q**2 - 181*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**2*y**2 + 836*m**2 - 276*y**3 wrt y?\nAnswer: 2*m**2*y - 828*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + -2 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -19*y**2 + 36*y + 52. Give i(6).\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 21711200\nAnswer: 1\/1550800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -8. Put 0.3, 0, l in decreasing order.\nAnswer: l, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13648249067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 293706 = 25*j. Let q = j + 25426. Round q to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2*(-4)\/(-16)). Suppose t + 0 = 4. Let d(j) = -j**u + 0*j**2 - t*j**2. Let w(q) = q**2. Give w(d(r)).\nAnswer: 25*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -n - 150. Let c = n + 114. Suppose 2*j - 132 = c. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.8 - 133804.\nAnswer: -133786.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z. Let q(s) = s. Let w(h) = 2*m(h) - 5*q(h). Let f(n) = 12*n**2. Calculate w(f(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6396064?\nAnswer: 2, 199877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, -152\/9, -0.4, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.9? (a) 2 (b) -2 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, i: 4, u: 9, o: 3}. Give prob of sequence iu.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2\/3 - 3484*o - 199310\/3 = 0. What is o?\nAnswer: -19, 5245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -819, -807, -793, -777, -759, -739?\nAnswer: -717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 870851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 299\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2594325, -2594327, -2594329?\nAnswer: -2594331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n - 2*n**3 + 2662*n**2 + 9*n - 283*n**2.\nAnswer: -2*n**3 + 2379*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 768 divide 1619712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + k = 561, 5*s - 563 = k - 4*k. Suppose -s = -4*b + 144. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117 - -128. Let m be 9\/((-18)\/(-10)) - -6. Is s greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*4 + (14 - 528\/80)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7527 = 22*g - 9567. Suppose 28*m - 1379 = g. What is the highest common factor of 77 and m?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.4471554 seconds?\nAnswer: 447155.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 12837009 to the nearest 100000.\nAnswer: 12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**3 + 0*q**3 - q**3)*(4 + 0 - 6) - q**2 - q**3 + q**2 + q**3 - 5*q**3 + q**3 + 123 - 123 + 89*q**3 in the form r*q + i*q**3 + l*q**2 + y and give i.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g. Let u be (-9)\/12 - (-45)\/40*2. Let q(h) be the first derivative of 0*h - 6 - u*h**2. What is m(q(w))?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12217 + 12216.9. Which is the nearest to -2? (a) 1 (b) 4 (c) 12 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 169147 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + h = -6, -h - 70 = 3*p. Let n be 52*(-14)\/p*3. Let q be n\/6 - (-1)\/(-6). Calculate the greatest common divisor of q and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, r: 1, u: 3, g: 7, f: 4}. What is prob of picking 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1098 - 0.1098. Which is the nearest to -0.1? (a) -4 (b) 17 (c) k (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 55 + 43?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -0*u - 50. Suppose 158818 + 51232 = u*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 24351 = -121*q + 120*q, -m = -3*q + 73037. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002181546 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + q - 16. Let x be t(0). Let a = 32 + x. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3514.33 rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -30*j**2 - 136*j + 34. Let f(a) = -a**2 - 4*a + 1. Let o(w) = 204*f(w) - 6*x(w). Let c(h) = 4*h. Calculate c(o(l)).\nAnswer: -96*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1601, -3203, -4805, -6407?\n\"Answer: -1602*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from kqqqmqqmkcvvkmqqqmq?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v - v**5 + 3*v + (66*v**2 - 14*v**2 + 7*v**2)*(1 - 1 - 2*v**3) + 56*v**2 + 77*v**5 - 56*v**2.\nAnswer: -42*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 345169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 194009504 and 13.\nAnswer: 194009504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-275)\/50*(1\/4)\/((-187)\/(-272)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59394696 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266116827?\nAnswer: 3, 17, 223, 23399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + -14 + (-36 - -19)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v + 2. Let w(p) = -54*p - 14. What is -15*a(o) - 3*w(o)?\nAnswer: 117*o + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(3\/7)*(d\/d**(-2))\/d)**(2\/37) assuming d is positive.\nAnswer: d**(50\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4136742 or 4136689?\nAnswer: 4136689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 5:38 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 10384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385767?\nAnswer: 3, 42863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 0, 0.4, 0.03, -42?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 7 = n, 4*n - 7*n + 11 = 4*k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5752577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttrtrtffartffrrrtrt. Give prob of picking 1 r, 1 t, and 1 f.\nAnswer: 56\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196a (base 13) to base 2.\nAnswer: 111011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 637 = -3*p. Let s be (p\/147)\/(1\/12*2). Factor 4*x**3 + 10\/19*x**5 + 26\/19*x - 4\/19 - 44\/19*x**4 - 64\/19*x**s.\nAnswer: 2*(x - 1)**4*(5*x - 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 11*o - 4487 = 4*f, 2*f - 5990 = -4*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x*(x\/(x*x*x**3*x*x))\/x)))\/x)\/(x\/((x\/x**22)\/x)*x))\/((x*x**(3\/2))\/x**(3\/14)) assuming x is positive.\nAnswer: x**(-233\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18955)\/7140 + 8\/6 - 25\/(-20)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2693224 times 4\nAnswer: -10772896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9866, 9753, 9596, 9401, 9174, 8921?\n\"Answer: f**3 - 28*f**2 - 36*f + 9929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 8*g + 40 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*j + q, -5*j = 1203*q - 1199*q + 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or -57.4357?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237823 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -68. Suppose -5*a - 2*j + u = 3*j, 2*a - 4*j - 6 = 0. Suppose -10*d + 6*d = -16. Calculate the smallest common multiple of d and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((80\/(-35))\/(-8))\/((-2)\/(-56)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17591.\nAnswer: 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*d + c - 111, 0 = -d + 3*c + 23. What is the smallest common multiple of d and 20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 1, 23 = -a + 5*a - g. Solve 3*r - a = -0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 - 2*y**3 - 4*y**2 + 3*y**3 + 4*y. Let l(u) = u**3 + 7*u**2 - 21*u - 12. Calculate the remainder when x(3) is divided by l(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 2*y**2 + 8. Let i(j) = -13*j - 1. Determine -7*c(m) - 2*i(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 9*s**2 + 7*s - 6. Let j be y(-8). Suppose -q - j*v = -17, 4*v = q - 5*q + 60. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -44*r. Let h(m) = m - 1694483. Give h(l(n)).\nAnswer: -44*n - 1694483","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67441 and 367860.\nAnswer: 4046460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - u**2 - 5*u - 19. Let z be x(-3). Let p be z + -14 - (0 - 0). Suppose -3*w - l = 2*w + 1150, -2*w - 5*l - 460 = p. Round w to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) -1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a decade in years?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 149, 3, 0, -4 in increasing order.\nAnswer: -4, 0, 3, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 7*z**2 + 8*z - 7. Suppose 11*c = 355 + 426. Suppose -4*i + 195 = -7*i. Let m = i + c. Determine l(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-8)*(-24)\/112*-4. Let w = 1\/11 + 19\/33. Which is the nearest to 0.1? (a) w (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/5328 and 31\/22.\nAnswer: 58608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14 + 4\/14. Let z = -2 - -2.4. Let h = -0.6 + z. What is the closest to o in 1, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37*364\/(-1443))\/((-8)\/18).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-9) - 14\/(-63). What is the nearest to 0.2 in i, 5, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1323.5 and -7.4330058?\nAnswer: 1330.9330058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 1539*c**5\/2 + 155433*c**4\/2 + 3512931*c**3\/2 - 20976417*c**2\/2 + 8686965*c - 33708 = 0. What is c?\nAnswer: -53, 2\/513, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -68*q**3 + 27*q**2 + 6*q - 1. Let h(s) = -23*s**3 + 10*s**2 + 2*s. Calculate -8*h(j) + 3*y(j).\nAnswer: -20*j**3 + j**2 + 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 518\/55 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26227 + -16204. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from tjqnlqo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 1238475.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 1030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 545*t - 269*t + 13*t**3 - 276*t.\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**3\/9 - a**2\/3 - 4. Factor k(c).\nAnswer: -c*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 13 + 29. Suppose -q = -4*y + 9. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164125 (base 8) to base 12\nAnswer: 2a505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3 = 3*l - 5, -3*l + p - 4 = 0. Solve 5*y + 0*j - 5*j = 0, l = 5*j - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -117*x - 8432. What is u(-52)?\nAnswer: -2348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/2)\/q)**(2\/29)*(q**(-4\/5)\/q)\/((q*q*(q**(1\/4)\/q)\/q*q*q)\/q))\/((q\/(q\/(q*q**(-1\/2)))*q**(-2\/3))\/(q**(-1\/4)*q)**(4\/9)) assuming q is positive.\nAnswer: q**(-1499\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 605\/(-3388)*44\/55*7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 10.6\nAnswer: 21.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 6\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37855\/4 or -9465?\nAnswer: -37855\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 255 - -470435?\nAnswer: 470712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19, 73, 167, 301?\n\"Answer: 20*p**2 - 6*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -269 + 192. Let n = w + 204. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -91494 at most -91494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1850 and 117\/1600?\nAnswer: 59200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73411*i**3 + 51385*i**2.\nAnswer: -440466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*m - 6*m + 6, -22 = -3*l - 4*m. Suppose -l*i + 3*k = -0 - 19, 3*k - 37 = -5*i. Suppose -6 = -i*o + 5*o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 80 (b) -3 (c) -1\/3 (d) 4 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2334, -2499, -2662, -2823, -2982, -3139, -3294?\nAnswer: -3447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 5. Let m = -300.32 - -296. Let v = 0.32 + m. What is the third biggest value in 5\/6, v, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00304322 rounded to four decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 - (2 - -2 - 0). Calculate the common denominator of 131\/6 and (-1)\/((-3)\/(-272)*y).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284417?\nAnswer: 7, 41, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -346 - -348. Solve 3*m + 1 = q*u, -u = 4*m - m - 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**4 + 51*s**3 + 2333*s**2 + 6379*s + 1.\nAnswer: -12*s**2 + 306*s + 4666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -146, -409, -780, -1259?\nAnswer: -1846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-14) - (-20904)\/273. Is 74 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/(3774\/136)*(1 + -1 + 6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) - 4\/((-48)\/303). Suppose 5*v = 0, a - f = 6*a + 4*v. What is the smallest value in a, 1\/3, -3, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 + 17*c**2 - 24*c - 34. Let o be b(6). Let t be (3\/(-2))\/((-3)\/4). Suppose 0 = t*v - 2 - 6. Solve -2*r - v = o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6360 = -4*t + 3004. Suppose -2*b - 3*b + 2*n = -t, 0 = -3*b - 4*n + 1389. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -5*v**4\/12 + v**3\/6 - v**2\/2 + 12*v. Determine g(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -43. Sort o, -4, -13, 3.\nAnswer: -13, -4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18802 (b) -1\/5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1870*y - 1844*y + 858 = 0 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 2:28 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864221715?\nAnswer: 3, 5, 7, 2743561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -44260, -88519, -132816, -177169, -221596, -266115, -310744, -355501?\n\"Answer: -3*z**3 - z**2 - 44235*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -308 - -3395\/11. Let j = d + 89\/33. Factor 0 + 14\/3*v**2 + 4\/3*v + j*v**3.\nAnswer: 2*v*(v + 1)*(5*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -6. Let c be (-2)\/(b\/310) + -1. Let s = 46 + -32. What is the greatest common factor of s and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394 a factor of 19575577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -118410*g + 261. Let m be f(-17). Suppose 3*q - m = 211869. What is q rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-521)\/2)\/(1\/20))\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00659411383 rounded to 7 dps?\nAnswer: -0.0065941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 975093.44 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -22*u**2 + 3253*u + 429. Determine s(148).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from twtttttttttttttttwwt. What is prob of sequence twtt?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -386.86 to the nearest integer.\nAnswer: -387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + x + 2 = 0, 8*r - 3 = 5*r - 2*x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Let s(j) = 7*j - g*j - j**2 + 3 - j. Give s(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.93 - -0.07. Let o be (6\/10)\/((-198)\/(-88))*15\/10. What is the nearest to -2\/7 in x, o, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20.7, 3, 4, 5 in ascending order.\nAnswer: 3, 4, 5, 20.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 18*b**2 + 92*b - 354. Let p be m(13). What is the third smallest value in 4, -83, p, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 22. Let q(p) = p**2 + 7*p + 8. Let j be q(-6). Suppose -o - 2*k + 9 = 0, -23 = -4*o + o - 4*k. Put z, j, o in increasing order.\nAnswer: j, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 11:29 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 5. Let t = -3.91 + -0.09. Let s = w - t. What is the closest to -0.2 in 0.4, s, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12212 and 24.\nAnswer: 73272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2660 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a gram in milligrams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 417*y**2 - 14061*y + 433. What is n(380)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**5\/210 + 2*d**4\/9 - 20*d**3\/21 + 9*d - 66. What is a in t(a) = 0?\nAnswer: -30, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 555 + -332. Suppose -2*i - 3*i = 3*m - j, 5*i - 225 = -5*m. Differentiate -i*p**4 + 6 + 7*p**4 + 9 wrt p.\nAnswer: -148*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 equal to -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, e: 4, b: 2, d: 5}. Give prob of sequence bl.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 1102110?\nAnswer: 1102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1216*o**4*w - 2*o**3*w - 2*o*w + 133*w + 22 wrt o.\nAnswer: 14592*o**2*w - 12*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/6)\/((85\/15)\/17). Which is the smallest value? (a) 1\/9 (b) p (c) -19.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 17, -3, 12 in ascending order.\nAnswer: -3, 3, 12, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, 6, 56, 111, 0, 4 in descending order.\nAnswer: 111, 56, 8, 6, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 23, 60, 115, 194?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1986?\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -33446.\nAnswer: 8\/16723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = 3*c - 191. Is (c*15)\/6 - -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iisf when four letters picked without replacement from {i: 3, f: 13, s: 1}.\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 18*q + 74 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1965 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157479560 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -182*y**3 - 21*y**3 - 113*y**2 - 126 - 2*y + 108*y**2 - 78*y**3 + 125 as k*y**2 + b*y**3 + l*y + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 8. Let f(q) = 9*q**3 - 1. Let c be f(1). Let r be u(c). Let l = 70 + -74. Put r, -5, -2, l in descending order.\nAnswer: r, -2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08986 + 0.02765. What is d rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3131 take away -25.8?\nAnswer: 26.1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 22*p**2 + 2*p. Let f(t) = -155*t**2 - 15*t. Let a be 37 + -1 + -11 + 17 + (0 - 12). What is a*w(i) + 4*f(i)?\nAnswer: 40*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 + 2*s**2 - s**2 + (2*s - 4*s + 0*s)*(-s - 3*s + 0*s) + (5*s + s - 3*s)*(2*s - 3 + 3) + (-2 - 13 + 3)*(4*s**2 - 2*s**2 - 3*s**2).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.27, 0.7, -1\/7 in increasing order.\nAnswer: -1\/7, 0.27, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.58, -0.55844, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 58\/(3\/((-30)\/10)). Which is bigger: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**2 + 65*g - 840 = 0. What is g?\nAnswer: -21, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 34875, 51854, 68843, 85848, 102875, 119930, 137019?\n\"Answer: y**3 - y**2 + 16975*y + 17900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 6 = -2*k, -3*w + 1 - 13 = -4*k. Suppose -2*z + 0*b + k = -b, -b = -z. Suppose 1 + 8 = -2*m - 5*a, 0 = -4*m - 5*a - 23. Sort -1, 0, m, z.\nAnswer: m, -1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 65. Determine j(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -14, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39518 = 133*g - 223*g + 2572012. List the prime factors of g.\nAnswer: 29017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 0 + 1\/20*l**5 + 0*l - 1\/3*l**3 + 90*l**2 + 0*l**4. Let v(a) = 2*a**2. Give o(v(r)).\nAnswer: 12*r**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 5.3. Let g be (-30)\/(-8) - 4\/(-16). Sort g, o, 5.\nAnswer: o, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 - -24. Let i = f + 123\/4. Let v = 0.9 - -4.1. Which is the smallest value? (a) 0.2 (b) i (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.9263505 kilometers?\nAnswer: 92635.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**4 - z**3 - z + 1. Let i(y) = 15*y**4 - 9*y**3 - 8*y**2 - 2*y + 6. Let k(d) = i(d) - 6*x(d). Factor k(l).\nAnswer: l*(l + 1)*(3*l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3313 - -21?\nAnswer: -3272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a. Let v(g) = -348*g**2. Calculate t(v(r)).\nAnswer: -1044*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 242208 and 384?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -0.5. Let b = 0.035 - 0.235. Put h, -2, b in decreasing order.\nAnswer: b, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*l**2*v**4 + l**2 - 210*v**4 - 263 wrt v.\nAnswer: 20*l**2*v**3 - 840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -247*h**3 + 285*h**3 + h**2 - 5*h**2 - h**2 to o + z*h**3 + x*h + m*h**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. Suppose b - a + 0 = 1, b + w*a - 16 = 0. Solve -y - 17 = -b*o, 3*y + 3*o - 5*o = -11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -124443.8? (a) -1 (b) -5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3937642 or 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -7*n. Suppose -3*w + 12 = -2*h - n, 4*w = -5*h + 16. Which is smaller: h or 2\/125?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -633, -1205, -1777?\nAnswer: -2349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-18)*0)\/(14\/(-21)*-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3194 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.65 - -0.95. Let x = b - 17.60081. Round x to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 5*j - 658*j - 59 + 98.\nAnswer: -653*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2\/9, -0.9, -1, -2\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4780163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*s - 88, -3*n - s + 58 = -2*n. Let u(v) = -v**3 - 18*v**2 - 58*v + 59. Let p be u(-14). Let a = p - n. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyahyprpphph. Give prob of picking 1 y and 1 p.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 2)\/(23\/((-253)\/(-22)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.723275 hours to days.\nAnswer: 1.071803125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 326, 649, 970, 1289, 1606, 1921, 2234?\n\"Answer: -m**2 + 326*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 240130 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3 = -4*s + 5, q + 29 = 5*s. Suppose s*b - 10 = 85. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4898 + -3.4898. Is z greater than 22\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 10000111010100 (base 2) to base 12.\nAnswer: 5018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*b - 245*b = -d + 442, -5*b + d + 458 = 0. Solve 58 + b = -37*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-4)\/((-12)\/21). Let v be (6\/x)\/((-4)\/16). Let k(y) = 0*y - 2 + 2*y**2 - 2*y - y**2. Determine k(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21294677 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-11)))**23\/(h\/((h*h**(1\/4))\/h)*h**6*h) assuming h is positive.\nAnswer: h**(981\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 2:28 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 6. Suppose -5*q = -v*q + 16. Sort -5, -4, q in decreasing order.\nAnswer: q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -495ab3 + -8?\nAnswer: -495abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d1 (base 15) to base 2.\nAnswer: -1010000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((184\/6)\/((-107)\/((-26001)\/216)))\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g - 6. Let d be b(-4). Suppose 0 = 2*j + j - 3*l - 15, j - 2*l - d = 0. What is the third derivative of n**5 - j*n**5 - 9*n**2 + 4*n**5 wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + (44 - 124) + 34?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32591947.\nAnswer: 32591947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7a - -7a69?\nAnswer: 79ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(32))\/sqrt(324).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**3 + p**2 + 37. Suppose -5*x - 5*z - 5 = 0, -5*x - 1 = 3*z + 2. What is the remainder when 230 is divided by u(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2.9. Let w = 1.36 - 142.36. Let h = w + 145. What is the nearest to h in -3, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 202, 394, 586, 778?\n\"Answer: 192*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.96 + 3.96. Let y = -0.12 + -6.88. Is y not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/559 and 80\/16341.\nAnswer: 702663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33812 = -39*z + 33539 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 + -2. Let g be 1 + (0 - (-3)\/(-3) - -4). Let c be (-8)\/(-28) - g\/224*-5. What is the closest to 1\/2 in c, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 127.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 217\/710 or -1?\nAnswer: 217\/710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 58 + 62 = 0. Let k(m) = 10*m - 9 + 4*m + 0*m**2 - m**2. Let o be k(11). What is the greatest common factor of o and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -44. Calculate the remainder when g is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.23 + -0.43. Are -1\/7 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(3\/4)*z))\/z*z*z**2*z assuming z is positive.\nAnswer: z**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 308 and 185867.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Suppose 0 = -7*u + r*u + 80. Calculate the remainder when 45 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49620 - -24?\nAnswer: 49644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -15412\nAnswer: 1\/7706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -877 + 660. Let f = -5947 + 6168.04. Let i = a + f. What is i rounded to one dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(3 + (sqrt(567) - (-2*sqrt(567) + 5 + sqrt(567)) - sqrt(567)))*1)**2 + 5.\nAnswer: -71370 + 4500*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/24)\/(1\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from fffffffffeffefffeffe.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.0559 + -0.6559. Let g = -0.7 - 1.3. Let d = 2.1 + g. What is the closest to d in 4, 7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -9 + 1. Let l(f) be the second derivative of 0 - m*f + 0*f**3 - 1\/24*f**4 + 1\/4*f**2. Factor l(x).\nAnswer: -(x - 1)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Let z be (-3 - -1)\/((-6)\/(-15)). Let o be 114\/(-27) - 16\/(-72). Put z, k, o in increasing order.\nAnswer: z, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 318172 and 5508?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 2. What is the tens digit of l(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/902 - -225\/451. Let u(o) be the first derivative of g*o**2 + 39 + 3*o. Let p(d) = -d - 2. Calculate -5*p(y) - 4*u(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/3))**36*k*k\/(((k\/k**(2\/17))\/k)\/k)*k\/(k**5*k)*k*k assuming k is positive.\nAnswer: k**(-406\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 41*t + 46*t + 95, -4*t - 88 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -9*o - 8. Let b(s) = 21*s**2 - 64*s - 8. Let n(a) = -8*a**2 + 24*a + 3. Let i(l) = 3*b(l) + 8*n(l). Determine x(i(d)).\nAnswer: 9*d**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 7278288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -900, -2784, -5952, -10404?\nAnswer: -16140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*d - d - 7 = 0, 5*u + d = -11. Let n(v) = 583*v**2 + v + 3. Is n(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -22. Let o be f\/15 + (244\/590)\/(-2). Let g = 112\/885 - o. Is g less than or equal to 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-34655)\/(-35) + 2\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.515989 take away -2.2?\nAnswer: -46.315989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*f**2 - 5*f - 65*f**2 + 5*f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40667*z**5 + 4*z - 22889.\nAnswer: 813340*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**4 - k**3 - k**2 - 1. Let b(r) be the second derivative of r**6\/10 - r**4\/2 - 3*r**2 + 10*r - 5. Let h(n) = b(n) - 6*x(n). Factor h(t).\nAnswer: -3*t**3*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10112 + -202?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(1350\/1995) - (-2)\/15\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -92.9*-4272\nAnswer: 396868.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 568 and 114260868.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/27 + 65\/(-9). Let t = -1 - a. Find the third derivative of -2*p**6 - p**6 - 3*p**2 + 5*p**t wrt p.\nAnswer: 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46298, -92559, -138818, -185081, -231354, -277643, -323954, -370293?\nAnswer: -416666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*o = -45*o + 24. Suppose 18 = o*r - r. Suppose 37 = -4*z + 109. What is the highest common divisor of r and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -563, -7, -2, 4 in ascending order.\nAnswer: -563, -7, -2, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 13961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000028017 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8096*j - 1882015 - 113717 = 6760*j + 3623*j for j.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 25*x**3 + 2*x**2 - 3*x + 1. Is c(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 782026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 12:11 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(272) + sqrt(17))**2 + sqrt(17) + 1 + 1.\nAnswer: sqrt(17) + 835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f + 279. Let y = -847 + 909. What is the highest common factor of f and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 3*n + 6 - 57, -n + 11 = 7*x + 20*x - 2*n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 6*r - 1. Let o(w) = -w - 8. Let j be o(-4). Let c be (-44)\/8 + (-2)\/j. Let q be m(c). Solve q*d - 2*f + 14 = 0, -2*d + 4*f + 0*f = 22 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.376036 rounded to 3 decimal places?\nAnswer: 0.376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100202 (base 3) in base 4?\nAnswer: -33200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(15\/4)\/b**31*((b**1\/b)\/b*b)\/(b*b*b*b**(30\/11)\/b) assuming b is positive.\nAnswer: b**(-1407\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 9*p - 11. Let j be d(6). Suppose 2*r = j*r - 45. Which is smaller: 41\/4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 482 + -482.279. Let o = y - -0.179. Sort 0.1, 0.4, 5, o.\nAnswer: o, 0.1, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 11*z - 15, -4*l = 4*z - 3223288. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2240 (base 5) in base 4?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.67873 rounded to 0 decimal places?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 90 = -0*w - 5*w, -4*t = -13 + 33 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from {t: 2, n: 1, h: 1, r: 1, q: 1, e: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*o**2 + 179*o**2 - 113*o**5 - 13*o**5 + 56*o**2 wrt o?\nAnswer: -7560*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g. Let u(c) be the first derivative of 13*c**3\/3 - c**2\/2 + 2355. Determine u(k(r)).\nAnswer: 208*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2744594491.\nAnswer: 1913, 1434707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244 + 4033?\nAnswer: 4332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58443872?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1099, 352, 4287, 11948, 24577, 43416, 69707, 104692?\n\"Answer: 207*m**3 + 2*m - 1308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174407, -348801, -523195?\nAnswer: -697589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179 + -39. Let l = t - 137. Let o = 0 - -4. Sort o, l, -2 in ascending order.\nAnswer: -2, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/3 - 20806616*p\/3.\nAnswer: -4*p*(p + 5201654)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 113451 (base 6) to base 12\nAnswer: 5887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4*g - 2, -t + 2*t = -2*g - 2. Let p be (-5334)\/4 + t\/(-4). Let o = -921 - p. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -42. Which is the nearest to 1\/2? (a) -9 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2*4*-204. Let j be (i\/85)\/((-3)\/10). Solve 4 = -4*u + j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(3))**2*-6.\nAnswer: -210 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 418533 + -214754. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -3*k + 4*s, 0 = -5*k - 5*s + 350 - 295 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1323, 4370, 12637, 28734, 55271?\n\"Answer: 435*x**3 + 2*x + 886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-111*c + 104 - 104)*(2*c - 4*c + 4*c) to m*c**2 + l + h*c and give m.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63936)\/460224 + ((-15)\/17 - (-2 + 1)).\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-5)\/((-5)\/(-71))*1. Let q(j) = -99*j**3 - 2*j**2 - j. Let y be q(-1). Let i = w + y. List the prime factors of i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 14) in base 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 43*r**2 - 11*r + 7. Calculate n(-3).\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6\/17 - 1\/51. Let k = -3 + 17. Suppose 3*b = b - g + k, 4*b + 3*g = 24. What is the third smallest value in b, w, -4\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -185586697421?\nAnswer: -185586697406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17cb84 (base 15) in base 11?\nAnswer: 720181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/3 + 410*v**2\/3 - 1314*v + 2730.\nAnswer: -2*(v - 195)*(v - 7)*(v - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 26*v**3 + v**2 + 31*v + 15. Let x(r) = 5*r**3 + 6*r + 3. Let n(t) = -2*d(t) + 11*x(t). What is the second derivative of n(m) wrt m?\nAnswer: 18*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1113.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3545588573?\nAnswer: 3545588573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**3 + 3. Let p(z) = -4*z**3 - z**2 - 6. Determine -5*k(c) - 2*p(c).\nAnswer: -2*c**3 + 2*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*a - 12, -5*x - 3 = 5*a + 2. Let m be 4*1*(-1)\/x. Let n be 28\/84*(-18)\/4*-2. What is the third smallest value in n, 1\/6, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.9 in 2, -0.1, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1632*l + 734*l + 2217*l - 1260*l to the form v*l + f and give v.\nAnswer: 3323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 32076772.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 98*c + 5*c**3 + 2*c**2 + 96*c - 1 as l*c + h + o*c**3 + u*c**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/24 and 0 - (1 - (-5)\/105)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t + 8. Let j be r(-8). Let a = -37 + j. Is (a - (-2461 - -4)) + 1 + -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 5:33 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 1\/33, -1\/3 in descending order.\nAnswer: 2, 1\/33, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 598013 - 2*s - 598013.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oyoyqoodoyooy.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6447 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 273741047, 273741048, 273741049, 273741050, 273741051, 273741052?\n\"Answer: k + 273741046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11178203243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2149.04259ns to days.\nAnswer: 0.000000000024873178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9898.361 millilitres?\nAnswer: 9.898361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 59*q**3 - q**2 + q. Suppose 0 = 4*w - 9*w + 5. Is i(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*t**3 - 334*t**2 + 43*t - 68 wrt t?\nAnswer: 90*t - 668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6283.138 weeks in seconds?\nAnswer: 3800041862.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/4*(-3 + 11\/3). Suppose 3*a - 2*k = 61, -h*k - 62 - 14 = -3*a. Sort 1, -5, a in descending order.\nAnswer: a, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 9*b**2 - 2*b + 13. Let z be 4\/(-2) + 0 + 0. Let f be -2*((-13)\/z + -2). Does 9 divide p(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + -0.2. Let u = 103230 - 103230. Which is the closest to u? (a) -4 (b) -2 (c) -1 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2648 = -9*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -32*p**7\/105 - 8944*p**6\/75 - 15489*p**5\/25 - 1816*p**4\/3 + 15448*p**3\/15 - 2208*p**2\/5 - 279*p + 5. What is y in u(y) = 0?\nAnswer: -276, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 - -0.5. Let z = y - 1.02. Let m = z - -0.078. Round m to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.105 + -1.285. Let b = h - -0.18. Let f = 3.04 - 0.04. What is the nearest to b in f, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 15. Suppose 2*x - 3*b = g, 2*x + 0*x + 5*b - 38 = 0. Does 19 divide -116*(x\/(-6) - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1404 + -12638\/9. What is the second smallest value in -2, p, -2\/185?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 185 - 175. What is the highest common divisor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + 14?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*w, -2*w - 3*w = 4*d + 21. What is the units digit of (6\/d)\/(21\/(-196))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -3 (c) 0 (d) 1\/9 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38723185.592 - -30.29.\nAnswer: 38723215.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -4. Let l be 3 - (-3 - -1)*(-1)\/2. Solve 2*b = -3*x + 7*b + 10, -l*x + q*b + 15 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2361770?\nAnswer: 2, 5, 59, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*f**3*s*x + 1668043*f**3*s - 18*f**2*s + 60033*f*x - 3*s*x wrt x.\nAnswer: 32*f**3*s + 60033*f - 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7))**(2\/83))**(-50) assuming g is positive.\nAnswer: g**(200\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + (9\/6)\/(231\/56 + -4). Sort -3, 0, 67, a.\nAnswer: -3, 0, a, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (121*g - 88*g - 4 - 70*g - 5 - g + 5 + (0 + 2 + 0)*(g + 0*g + 0*g))*(0*g - 4*g - 2 + 3).\nAnswer: 144*g**2 - 20*g - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-443 + 463)*((-3)\/5)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, k: 2, o: 1, h: 1, y: 1, m: 2}. What is prob of sequence kmmh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101 a factor of 45077578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2017*v + 232. List the prime factors of o(42).\nAnswer: 2, 42473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z - 4. Let b be 8\/((-4)\/(-1 - 1)). Put 3, z, b in ascending order.\nAnswer: z, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 1410 = -23*w. Suppose 0*t - 620 = 4*t. Let q = t - w. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2187644?\nAnswer: 2, 29, 18859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -13 + -25 + 29?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 1:17 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 8 = 5*o. Let k be (o\/(-4))\/(5\/(-1620)). Let m be (-6)\/(-8) + k\/72. Solve 2*i = -4*d, -m*i + 20 = -4*d - 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 31. Suppose 0 = 2*j - 2*s + 5*s + 4, -j - 5*s - v = 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 + 6*r + 6. Let a(h) = -3*h + 26. Let l be a(6). Let n be (l + -7)\/(1\/6). Let o(x) = 2*x**2 - 5*x - 5. What is n*z(g) + 7*o(g)?\nAnswer: 2*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 9*p**2 - 15*p - 6. Let w be f(-7). Sort 4, -4, w, -5 in descending order.\nAnswer: 4, w, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/7 (b) -4973 (c) -3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 81*j**2 + 423*j + 1394. Determine z(75).\nAnswer: -631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*a + 2*a + a)*(1 - 4 + 6)*(2 - 2 + 5)*(-2*a - 2 + 2) as g*a + c + j*a**2 and give j.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/6*-4*1\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 395*r - 394.\nAnswer: -(r + 1)*(r + 394)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.263 + 0.037. Let p = 13 + -9. Which is the smallest value? (a) -0.4 (b) v (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 35348, 2\/23, 10, 0.5, 2\/5, -2\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 8 = 4*p, 5*a - 2*p = 2*a - 4. What is the second derivative of 0*y + a*y - 4*y + 5*y**3 wrt y?\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 97 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1651160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 34, -3, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 240*y - 12 + 801*y**3 - 171*y**3 + 453*y**3 - 1276*y**2 - 35*y**2.\nAnswer: 3*(y - 1)*(19*y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5\/7 - 3*a**4 + 18*a**3\/7 + 40*a**2\/7 = 0. What is a?\nAnswer: -1, 0, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.823684 rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16089126 and 64356504.\nAnswer: 64356504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.266 and -2787.\nAnswer: -2785.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1019655 and 1079.\nAnswer: 1079","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**40*y)**(3\/2) assuming y is positive.\nAnswer: y**(123\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o - 11. What is x(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2 + o**2 - 4*o + o**3 + 4 + 4*o**2 + 7*o. Calculate the remainder when u(-3) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrbpwhw. What is prob of sequence hww?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) 0.01 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5\/19 - 10*w**4\/19 - 176*w**3\/19 - 416*w**2\/19.\nAnswer: 2*w**2*(w - 13)*(w + 4)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66190, 132386, 198582, 264778, 330974, 397170?\nAnswer: 463366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -60 - 18*x**2 + 29 + 25 as l*x + q + f*x**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - z + 5. Let a be l(0). Suppose -a*d - 6 = -16. Suppose 0 = -f - d*f - 9. Let m(q) = -q. What is m(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*l - 25*l - 105. Which is the fourth smallest value? (a) l (b) -3 (c) -0.3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -511, -1191, -2327, -3919, -5967?\nAnswer: -8471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 216858264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 1\/159225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 4*z + 9. Let g = 5244 - 5172. Calculate the remainder when g is divided by l(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10021499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2)*q)\/(q\/(q\/q**(-2\/27))))**(-30\/11)\/(q**(2\/9)\/(q**5*q)*(q**(-2\/7))**(-7\/6)) assuming q is positive.\nAnswer: q**(128\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*k - 432 + 961 - 415 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -1, 19.8 in decreasing order.\nAnswer: 19.8, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*l**2*m**4 - l**2*m**3 + 1288*l**2 - l*m**4 + 2*l*m**2 - 2*m**2 - m wrt m?\nAnswer: -2688*l**2*m - 6*l**2 - 24*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-693)\/63 - (-102)\/10?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 16. Let z be c(14). Suppose -z*t + j + 28 = 3*t, j - 2 = -t. Suppose -128 = -t*x + 617. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 34. Suppose 18 + 2 = -u*w. Let n(b) = -4*b**2 - b + 1. Let h(i) = -21*i**2 - 6*i + 6. Determine w*h(z) + 22*n(z).\nAnswer: -4*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o - 258. What is the greatest common factor of o and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one twentieth of a millennium?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -0.2. Let s = -263.3 + 265.7. Sort o, -5, s, -4 in descending order.\nAnswer: s, o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 456*x - 453.\nAnswer: -3*(x + 1)*(x + 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 4:34 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/10*(-1)\/6*-4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 11:14 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22050284189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*y)*(0 + 0 - 2 - 2 - 1 + 2 + (6 - 3 - 4)*(-1 + 1 - 2)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 + 0 + 0 + (-6*v**4 - 3*v**4 + 2*v**4)*(-2 + 1 + 3) + v**4 - 27*v - 114038*v**3 - 2*v**2 + 114038*v**3.\nAnswer: -12*v**4 - 2*v**2 - 27*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lydyalyyyyzl. What is prob of sequence dzy?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*s - 78*s = 0. Solve 0 = -s*t - 2*t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 7:03 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3 + 151*b**2\/3 + 236*b\/3 - 20 = 0. Calculate b.\nAnswer: -15, -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 6*v - 24 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 312, 5 in ascending order.\nAnswer: -1, 5, 6, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1956 and 4?\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (440\/30 + -15)*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3271269 + -2017087.6728731. Let o = z + 2017101.99989. Let m = 14 - o. What is m rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 - 1522 + 5*z + 1519 + 3*z**4 to the form a + p*z**4 + o*z**2 + y*z + m*z**3 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -841, -1809, -2773, -3733, -4689?\n\"Answer: 2*d**2 - 974*d + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -306 + 307.104. What is r rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 11*o - 4. Give l(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z**3 + 4*z - 4. Let y(v) = v**3 - v + 1. Let c be 14 - 11 - (0 + 3). Suppose c = -0*l - l. Let i be 1\/(-1 + l - -2). Calculate i*s(h) + 4*y(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 271*s - 270*s - 479. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/36)\/(60\/(-180))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-45)\/(-5)))\/(13\/(-78))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6 + 46\/3. Let d = 23 + -21. Suppose -d*s - s = -o. Solve s*i + 21 = 4*n, 6*n - 5*n = -5*i - 26 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 196 + 32. Let p(r) = b + 24*r - 228 + 68*r. Let l(v) = -4*v. Give l(p(j)).\nAnswer: -368*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 - 95*i**2 + 48*i - 79. Give s(47).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*j = 9 + 105. Solve -j*u - 8 = -8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6089091539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 g when four letters picked without replacement from {g: 6, s: 1, o: 2, v: 3, a: 6}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -5. Suppose b*f - q - 11 = 0, 0*q - 2 = 5*f + 4*q. What is the first derivative of -4*j + 3*j + 3*j - f wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.6, 4\/3, 5.\nAnswer: -0.6, 1, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 2*y**2 - y + 29. Let m be n(0). Suppose 0 = 3*t + m - 200. What are the prime factors of t?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117*n + 102*n + 2 + 77*n)*(0 + 0 - n).\nAnswer: -62*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -15. Let q = 45 + -45. Suppose -5*c + 3*j = -70, c + j - n = -q. Solve 1 - c = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 15*a - 6. Let l be k(6). Calculate the highest common divisor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -307.631 and -1513.\nAnswer: -1820.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**4*y**9*y)\/(y**3*(((y*y**(-1\/3))\/y*y)\/y)\/y*y) assuming y is positive.\nAnswer: y**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 214.9615 - -0.0385. Let c = y + -217. Let b = 166 + -1496\/9. What is the closest to c in b, 4, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -125 - 125155?\nAnswer: -12527a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2225 divided by 1?\nAnswer: -2225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8166)\/4 + (-9)\/(-6). Let r be 1538\/z - (-3)\/6. Let d = 19\/68 - r. Calculate the common denominator of -17\/10 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1694674?\nAnswer: 2, 37, 22901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 137592096?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (2 + 0) - 1. Suppose -m = -f - 12. Suppose r + 5*r - m = 0. Let s(h) = 2*h**3 - h**2 - h - 2. Give s(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n = 85*n - 970 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (16\/14)\/(8\/56) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 266 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1190 or 914?\nAnswer: 1190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 3610.\nAnswer: 3609.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 7:50 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -32. Suppose u*j = -5*k + 241 - 33, 12 = -4*j. Find the second derivative of 16*q + 16*q**3 - k*q**2 + 44*q**2 wrt q.\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/7)*((n*n**(-3\/8))\/n)\/n)**(-50)\/((n**(-7)*(n*(n\/(n**(1\/6)*n))\/n*n)\/n*n)\/(n**1)**(-21)) assuming n is positive.\nAnswer: n**(5129\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859656.\nAnswer: 2, 3, 7, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxnghhxkgygg. Give prob of picking 1 g and 1 x.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 95\/125 - (5 - 4). Let s = 149\/100 + r. Calculate the common denominator of s and -119\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**4 + 3*p**4 + p**2 - 26*p + 4*p**4 - 15*p**4 + 7*p as j*p**4 + v*p**3 + k*p + s + q*p**2 and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 866264 and 52115560?\nAnswer: 1615582360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -5\/336*a**8 + 5*a**2 + 6 + 5\/6*a**4 + 2\/21*a**7 + 0*a**3 - 1\/3*a**5 - 1\/8*a**6 + 0*a. Determine z so that m(z) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqiioiqqqqoiooq. Give prob of picking 2 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3737.037 + 3731. Let c = -0.037 - f. Let a = c + -7. Which is bigger: a or -40?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*i + 49 + 49 + 46 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 427835?\nAnswer: 1\/427835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2667965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -531*g + 1096*g - 541*g + 672 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 996005362.\nAnswer: 2, 11, 53, 151, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*t + 30*t**3 - 9*t - 32*t**3 - 12 as p*t**2 + f*t**3 + d + j*t and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (28 - 35 - (-12 - -1))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(3\/8))\/(v**(-15)*v)*(v**(-1\/5))**(-3\/25) assuming v is positive.\nAnswer: v**(14649\/1000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-3)*(-6 + 0). Let z(d) = 411312*d - 1312. Let f(v) = -v + 1. Let k(l) = 1312*f(l) + z(l). Let n be k(s). Round n to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 + 3*r - 5. Let f be 56*(-5)\/(-8 - 12). Let p(v) = -8*v**2 + 8*v - 14. Give f*z(h) - 5*p(h).\nAnswer: -2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c. Let g be a(-4). Let w = -8 + g. Let i(h) = 3*h**2 + 5*h**3 - 1 - 2*h**3 - 6*h - 2*h**3. Calculate i(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*s - 55*s - 45*s + 137 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 + 9*d + 27 - d**3 + 13*d - 51*d + 16*d + 15*d to the form q + t*d**3 + o*d + i*d**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19152 = -13*l + 29*l. Suppose -3*s - 3*n = -l, -2*s + 4*n + 1295 = 515. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -100, 6, 4, 5 in increasing order.\nAnswer: -100, 1, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 2. Let w(z) = -z - 5. Let o(m) = 10*l(m) + 4*w(m). Suppose -2 = -0*f - 2*f. Determine o(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5135 is divided by 105?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**2. Let f(m) = 3*m**2 - 3*m + 3. Let i(t) = -6*t**2 + 4*t - 4. Let a(u) = 4*f(u) + 3*i(u). Calculate -4*a(o) + 5*x(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 92 + (-6)\/(5 - -1). Calculate the greatest common factor of a and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - 1) + (-41)\/(-1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -2\/5, -133, -0.5 in decreasing order.\nAnswer: -2\/5, -0.5, -2, -3, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.87 - -0.13. Let u = 1043750216.00000003 - 1043750224. Let f = k + u. Round f to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 316, 628, 938, 1246, 1552, 1856, 2158?\nAnswer: 2458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -229? (a) -3 (b) -2\/19 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5229 and 2905?\nAnswer: 26145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -100211000021?\nAnswer: 100211000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115 - -114.7. Which is the second smallest value? (a) 0.4 (b) 0 (c) 3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27630 = 4362*g - 3748*g for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 18. Let h be l(6). What is the highest common factor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 3*s - 3. Let h be f(2). Let y be h\/2 + 10\/(-20). Suppose 4*j - 4*k = -j + 15, k = y*j - 15. Solve 7*c - j*c + 16 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 + l**3 + 5*l**2 - 3 + 1 - l. Determine x(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010111010100 + -11?\nAnswer: -11010111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3432 and 7332?\nAnswer: 161304","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve 558 + 2055 = 544*p - 4459 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 - 28. Suppose 347 = 17*f - 44. Which is bigger: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 734 and 9722931.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*b - 2112 = 25*b - 49*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 43 = 9*m. Let b(u) = 18*u - 10*u + 12 + u**2 - 13*u. What is the remainder when m is divided by b(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0*v - 2*v + 23*v)*(-2 + 12 - 2).\nAnswer: 168*v + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/3)\/1*(-2 - -2). Solve -2*d + 16 - 6 = f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 4*b**2 - 2*b + 4. Let c be o(3). Let q = c - 7. Let w be ((-2)\/(-196))\/(75\/100). Which is smaller: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5342087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t**(-27)\/t)*t))**(1\/2)\/((t*(t*t*t**(11\/4)*t)\/t*t)\/t**38) assuming t is positive.\nAnswer: t**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2261881 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1573) - sqrt(1573)*-3 - sqrt(1573))*2 - (3 + -1*sqrt(1573))**2) + 1.\nAnswer: -1581 + 132*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 16 - 118*c - 8 - 173*c - 5*c**2 + (-3*c + 0*c + 5*c)*(c - 5*c + 2*c) as n*c + z*c**2 + m and give n.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**2 - 41563608*o + 41563605 = 0?\nAnswer: 1, 13854535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 447*u**3*y**5 - 2*u**3 + 9*u*y**5 - 2*u - 1602*y**2 wrt y.\nAnswer: 26820*u**3*y**2 + 540*u*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p + 3271207 = -2*p + 3*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 4*l + 3*l)*(-6 + 27 + 15 + 17).\nAnswer: 106*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4928136cm?\nAnswer: 4928.136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 3*g. Suppose -g = 4*v + 3*f - 31, -v - 7 = -2*f. Does 12 divide 147\/6 + v\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2864733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1530 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-169)\/((-20449)\/(-132))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 50.8558.\nAnswer: 51.8558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -1972*f**7\/7 - 1045*f**3 + 2323. What is the third derivative of n(l) wrt l?\nAnswer: -236640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 89021.95 kilograms?\nAnswer: 89021950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z - 4. Suppose 0*g - z = -g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 1. Let g be o(2). Suppose -18 = -5*n - g. Let v be 18\/14 - (-2 + (-112)\/(-49)). Put 5, n, v in descending order.\nAnswer: 5, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**2 - 10*u - 11. What is x(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 26*u**2. Let f(x) = -29*x**2. Determine v(f(g)).\nAnswer: 21866*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 g when two letters picked without replacement from geeggeggggeeeeeggeeg?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1091682 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*z**2 + 0*z**2 - 4*z**2)*(-2 + 6 - 1) - z**2 - z**2 + 3*z**2)*(-18 - 14*z + 41 - 25) - 19*z**2 + 5*z**3 + 19*z**2.\nAnswer: 33*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9.81 * -0.1\nAnswer: -0.981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10\/439 + 11005\/1317. Solve -5\/6*y - 1\/6*y**3 - h + 4\/3*y**2 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, f: 1, w: 2, e: 6}. What is prob of sequence wwx?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3882?\nAnswer: 2, 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2)\/((-100)\/180).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*v + 5029216 + 13*v**3 - v**2 - 5029216 to the form f*v + t*v**2 + x + o*v**3 and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 19*z**4\/12 + 29*z**2\/2 + 16*z + 21. Let m(n) be the first derivative of i(n). What is the first derivative of m(y) wrt y?\nAnswer: 38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7 - 3*q**2 + 4*q - 4 - q**3 + 2*q - 4*q**2. List the prime factors of g(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**4\/6 - 4*r. Let x(f) = -4*f - 6. Let a(h) = -h - 1. Let j(w) = 6*a(w) - x(w). Give o(j(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, w: 2, e: 1, p: 5, n: 4, o: 1}. Give prob of picking 1 p, 1 w, and 2 h.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -212*k**3\/3 - 136*k**2\/3 = 0?\nAnswer: -34\/53, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/50)\/(2\/(-4))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -4*q + 20, -c + 209*q - 16 = 204*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 2*s**2 - s**2)*(193458 - 193458 + 147*s) + (2*s - 2*s + 2*s)*(4*s**2 - 6*s**2 + 4*s**2).\nAnswer: -290*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, u: 2, b: 2, j: 1, p: 1, l: 1}. Give prob of picking 1 l, 2 r, and 1 p.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/((-1)\/((-24)\/63)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/l**(3\/10))\/l)*l)\/(l**(-8)*l) assuming l is positive.\nAnswer: l**(93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*8\/18*3. Let g(i) = i**3 - 23*i**2 - 22*i + 32. Let z be g(24). Let f = -81 + z. Sort f, u, 11.\nAnswer: f, u, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270776299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 79978, 3 in ascending order.\nAnswer: -2, 0, 3, 79978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1466.\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wvyhvvvhhhvbnnvbv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1901, 2011, 2185, 2417, 2701?\n\"Answer: -i**3 + 38*i**2 + 3*i + 1861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a. Let b(k) = 5*k**2 + 7*k - 15. Let y(p) = -b(p) - 3*d(p). Factor y(s).\nAnswer: -5*(s - 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 84. Let l = -16 - g. Which is bigger: l or 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3 = -2*r, 0 = -2*r - 10*y + 11*y - 15. Let q(h) = 28*h - 7. Let t(g) = 9*g - 2. Give r*q(x) + 21*t(x).\nAnswer: 21*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 58*s + 576806 + 62598 = 0. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 5:16 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/25, 0.3, -3, 0.4.\nAnswer: -3, -0.3, 2\/25, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/28618 and 9\/14.\nAnswer: 200326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3450 and 1.\nAnswer: -3450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, 7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 3)*(-17*y + 2 - 2).\nAnswer: -51*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 167040 to the power of 1\/2, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1312250004 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.3. Let w = m + -0.3. Let v be 3\/(-3) - (-17)\/19. What is the closest to w in v, -2, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**5*j*w + 3*d**2*j*w + 280*d**2*w + 3123*d*j*w - 67*d*w wrt d.\nAnswer: -60*d**3*j*w + 6*j*w + 560*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/17 or -161468?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -171*a - 1. Let s be n(-1). Suppose 5*w = m - 65, 3*m - 7*m + s = -2*w. What is the remainder when m is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10686350 to the nearest integer?\nAnswer: 3269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2057))**2 - (-1 + sqrt(1088)).\nAnswer: -8*sqrt(17) + 18514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 3, -4*u - q = 3 - 14. Let l(s) = -8*s + s**2 - 4*s**2 + u*s**2 - 5. What are the prime factors of l(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1 - 0\/(-4 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*sqrt(448))*-1 - (5*(-1 + sqrt(448) + -2 - sqrt(448)))**2.\nAnswer: -228 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-1\/16))\/(q*q*q\/((q\/((q*q*q\/((q\/(q\/q**(-2\/7))*q)\/q))\/q))\/q)*q))**16*((q*q**(-2\/9))\/(q\/q**(-14)))**(-6\/5) assuming q is positive.\nAnswer: q**(-5513\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -173 in 228\/5, -0.3, -4, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 6*b**2 + b + 23. Let s be o(5). Solve 5*u - 10 = s*x, 5*x = 3*u + u + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.032857 to four decimal places.\nAnswer: -0.0329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 38271051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -76*x + 60. Let g be s(13). Suppose -3*o - 2*o + 235 = 0. Calculate the remainder when o is divided by g\/(-145)*((-14)\/(-4) - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 8 + s**2 - 6*s - 3*s**2 + s**2. Let k be 90*3*4\/36. Suppose -z - 2 = 4*l + 22, -5*l + 4*z = k. What is r(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 1 - 4*k + 5 - 2*k**2. Let x be f(-4). Suppose 3*h + 21 = 3*t, -4*t = -7*t + x*h + 16. What is the lowest common multiple of 20 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**4\/12 - 5*i**3\/2 - 18*i**2. Let l be n(9). Suppose -3*m + 6*m = 0. Solve -17 = -3*w + 5*r - m, l = w + r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 10 - 4 = 5*k, 14 = -3*k + 2*y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2, -30, -1, -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*x + 22*x - 71*x + 14*x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7 + 10 - y**2 + 13 - 3 + 12*y. Suppose 3*c = -0*c + 33. List the prime factors of h(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 20*j**2 - 20*j - 55. Let z(f) = 3*f + 42. Let t(i) = i - 1. Let c be t(-7). Let s be z(c). What is the units digit of a(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 191*d**4\/4 - 4*d**3\/3 + 6*d**2 - 3*d - 16. Let x be r(5). Let z = x - 51832. What is z rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 25, 5 in descending order.\nAnswer: 25, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18579 and 13174200.\nAnswer: 144916200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 47 = -p - 2*p, 0 = -3*p - 5*f - 2. Let n(y) = y**2 + 6*y - 9. Let k be n(p). Let q be (k\/8)\/(9\/36). Solve 4*s + q = -11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 798 and 2373?\nAnswer: 90174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80516 is divided by 13412.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -92.\nAnswer: -92, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 12:38 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4501 take away -12.6?\nAnswer: -4488.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -8 + (1 + 0 - (0 + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -99, -331, -719, -1263, -1963?\n\"Answer: -78*y**2 + 2*y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -819, -1616, -2379, -3096, -3755?\n\"Answer: 2*t**3 + 5*t**2 - 826*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17466448099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*h + 13*h + 10. Let k be (-80)\/h - 0 - 3. Let j = 15 - k. Solve -5*s = -4*x + 2, j + 2 = -s - x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**4 - 6*o**4 + 2*o**4)*(-8 + 3 + 1)*(3 - 1 + 1).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.776, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -327 + 716. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.1 (c) -0.5 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241594 divided by -20354?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 18 = -4*t, -37 = 2*t + 4*o - 9*o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 4*n + 553 - 436 = 0, -c - 3*n = 30 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38285243\/2013 - -19019. Is h <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 652*n + 33375. Calculate b(56).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*q - 1904 - 797, 2*k - 3*q - 2691 = 0. Let x = -507 + k. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -264? (a) -1.2 (b) 2\/15 (c) 0.3 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 9*c = -6. Suppose -c*o = 4*b - 2*b - 90, -4*b - o + 190 = 0. Let j = b - 13. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 7:48 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 78507 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**2 + 2*l**2 + 2*l**2 + (-l + 2*l - 3*l)*(0 + 0 + l) + l**2 + 2*l**2 - 2*l**2 - 17 - 6*l**2 + 17)*(-4*l**2 - l**2 + 4*l**2).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -17. Let w = b - 23. Let y(a) = -3*a + 5. Is y(w) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 + -2237907908\nAnswer: -2237907996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2737922016 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 54909 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 75007.\nAnswer: -75007.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6, 1\/316, -6\/13?\nAnswer: 1\/316","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 523215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/471 and -65\/1729557?\nAnswer: 271540449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-230151381)\/((-9)\/(18\/(-6))). Suppose -2*v - 554085629 = 5*y - 0*v, -5*v = -3*y - 332451396. Let g = y - w. Round g to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36378907.3 rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*k**4 - 1352*k**3 - 24*k**2 - 942*k + 2 wrt k?\nAnswer: 744*k - 8112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34971*g**4 - 75*g**2 - 240?\nAnswer: 839304*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2312, 4601, 6858, 9065, 11204?\n\"Answer: -3*y**3 + 2*y**2 + 2304*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -17. Let b = -9.98 + z. Let r = -1.98 - b. Put 1, 5, r in descending order.\nAnswer: 5, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**4\/6 - 13*f**3\/2 + 87*f**2 - 128*f. What is the first derivative of c(r) wrt r?\nAnswer: 4*r - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 10. Suppose 0 = 4*y + 2*t + 6, 0 = -q*y + 3*y + 5*t + 28. Let u = -1370 + 1369. Which is the third biggest value? (a) 0.2 (b) 0.1 (c) u (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 3:30 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 116 + 0*u - 63 - 14*u.\nAnswer: -14*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26554363 (base 7) in base 11?\nAnswer: -1424184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 3. Let f = 13 - 5. Suppose d - 3*m = -f, -5*d + 32 = m + 2*m. Let n be i(d). Which is the closest to n? (a) -1\/3 (b) 2 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.45 + -14. Let r = d - -0.05. Which is the third biggest value? (a) 1\/9 (b) 3\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-37)*s*s**(-9\/4)*(s**(-27\/2))**23 assuming s is positive.\nAnswer: s**(-1395\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -58\/9 (b) 0.02 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49*z - 27*z + 88 - 20*z)*(-z + 11 + 10 - 2*z**2 - 23) to the form c*z**3 + r + b*z**2 + x*z and give x.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c - 6*c**3 - 6*c + 9*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2315 + 2314.98. What is the closest to g in 0.4, 2, 0.5, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132162*i**2*u + 52*i**2 + 2399*i + 2*u + 21 wrt i?\nAnswer: -264324*u + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + 48. Let h = -42 + w. Calculate the remainder when h is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3600 > -7199\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*u + 105*u + 15*u)*(-5 + 5 + 4) + u - 1 + 1.\nAnswer: 317*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/470 and -17\/564.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -1\/3, 3\/4, -0.3 in increasing order.\nAnswer: -1\/3, -0.3, -1\/8, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 11:20 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 24*o - 243. Let i be j(32). Solve -5*d + 3*g = 2, -i = 4*d + 3*g - 33 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 - s + 208. Let k(x) = x**2 + 39. Calculate 2*j(p) - 9*k(p).\nAnswer: -3*p**2 - 2*p + 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23166 = -82*a - 776*a for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 279 and 3?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3503 divided by 1359?\nAnswer: 3503\/1359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-93)\/60 - (-3)\/4)*-5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + q - 1. Let n(l) = -22*l**2 + 8*l - 7. Give n(r) - 6*y(r).\nAnswer: -16*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1032 and 860.\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-30)*(-396)\/264\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-1)\/(-30)*(-7400)\/1040*26.\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x - 3. Let a(l) be the second derivative of -l**5\/20 - 5*l**4\/12 + l**3 - 5*l**2\/2 - 6*l. Let q be a(-6). Give f(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/5)\/((-134)\/((-446890)\/(-69)))\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d = -d - 6*d + 280 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -1627*t. Let g(a) be the second derivative of -a**4\/6 + 757*a. Give c(g(f)).\nAnswer: 3254*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (7\/(28\/16))\/3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 30*b**5 - 380961*b**4\/2 + 591038481*b**3\/2 + 21817517175*b**2 + 35341570350*b + 10664743500 = 0.\nAnswer: -69, -5\/4, -2\/5, 3210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2155729\/116 + 18583. What is the common denominator of 25\/48 and r?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -56, -80, -128, -212, -344, -536?\n\"Answer: -2*z**3 - 10*z - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -3, 5.\nAnswer: -5, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**3)\/(c*((c*c*c\/(c\/(c\/(c\/c**(-5))))*c*c)\/c)\/c)*(c**0)**(-3\/14))\/(c**(8\/5)*(c\/(c*c**(-3\/7)))\/c*c)**(-35\/4) assuming c is positive.\nAnswer: c**(95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1403447 to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*z**6 + 297*z**4 + 229*z**2 - 2*z.\nAnswer: 2400*z**3 + 7128*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**2 + 26958*d + 431072 = 0.\nAnswer: -26942, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9252 - -9255. Let g(k) = 2*k - 1. Let v(i) = 6*i - 4. Suppose -w = 3*w + 4*t + 12, -5*w - 2*t = 30. Give b*v(f) + w*g(f).\nAnswer: 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 16, -2*f = 3*o - 0*f - 53. Suppose 5*y - o - 15 = 0. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1382.7008 - 0.2992. Let m = j - -1383.1974. Round m to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2.222805nm?\nAnswer: 0.000000000002222805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 - 5*m**2 + 5*m - 23. Let z(f) = 3*f**2 - 12645*f + 12642*f + 11 - f**3 + 0. Determine 3*b(r) + 5*z(r).\nAnswer: r**3 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 403.6642 hours in seconds?\nAnswer: 1453191.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 = 5*p + 10, -p = 0. Suppose -i*b + 2*b = 0. Suppose b = -2*a + 5*r + 38, 4*a - 34 = -r + 42. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1327 + 233 = 80*y - 774 + 94 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 14*l**3 - 17*l**2 - 17*l. Let t(m) = -5*m**3 + 6*m**2 + 6*m. Let i be (18\/(-27))\/(2\/51). Let b be 2\/(-5) - 28\/5. Determine b*r(d) + i*t(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 12:55 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -9*b - 7. Let r(s) = -33*s**b + 101*s**2 - 37*s**2 - 33*s**2. Let f(l) = 13*l. Calculate f(r(m)).\nAnswer: -26*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/374125?\nAnswer: -6\/374125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-400)\/(-15))\/40)\/((-11)\/6)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1690\/7 + 242. Let y be (-3)\/84 + 15\/4 + -4. Sort y, -0.1, t in increasing order.\nAnswer: y, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -4\/5042035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**3 - 42*u**2 - 8*u + 962. Determine h(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 1698998*o. Let k(s) = -21*s. Determine m(k(y)).\nAnswer: -35678958*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.611078 to one dp.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(7\/(-56)*2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*f - 77652 + 21236. What are the prime factors of f?\nAnswer: 2, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -18. Let d be (2 - 4) + (n - -2). Solve 1 + d = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 30 = -3*r, 5877*k - 56 = -5*r + 5879*k for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t + 18 + t**3 + 4*t + 22 + 6 + 2 to the form y + m*t**2 + i*t**3 + s*t and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**5 + 17*y**4 + 38*y**3 + 15*y**2.\nAnswer: y**2*(y + 3)*(y + 5)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.949? (a) -5 (b) 2\/13 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from mmmmmmmmlnmlmmmml?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2*(-8)\/(-26). Let i = -41.7 + -11.3. Let g = 55 + i. Which is the nearest to 1\/4? (a) g (b) x (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - n**2 + 2*n - 3. Let y be c(2). Suppose -y*r = -5*a + 375, a = -r + 64 + 9. Let b = 213 - 198. What is the remainder when a is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) -4 (b) -2\/15 (c) -2\/67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 3*r - 3*r)*(-2*r - 2*r + 0*r)*(-8*r**2 - 5*r**3 + 8*r**2).\nAnswer: -20*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -2, -3, -1382, 599?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1581 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 25*h - 16. Let v(r) = 11*r - 7. Let q(j) = 4*l(j) - 9*v(j). Let i(k) = -3*k**2 - 3*k + 7. Determine -i(u) - 6*q(u).\nAnswer: 3*u**2 - 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than or equal to -15568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/2)\/((-325)\/(-26) - 13). Let i(n) = 89*n**3 - 54*n**m + 98*n**3. Let w(t) = 11*t**3. What is 4*i(l) - 49*w(l)?\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/33*(-5 - 129))\/(110\/(-15)) - -6.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 22 + 26. Let r be (639\/y - 2) + (-7)\/(-28). Let k = r + 55. Solve -o - 1 = -k*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 26*g**2 - 43*g + 22. Is w(8) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**5\/19 + 6*a**4\/19 + 366*a**3\/19 - 22*a**2\/19 - 1068*a\/19 + 720\/19 = 0.\nAnswer: -12, -2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g - 51 = 208*g + 1849 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - ((-63)\/(-56))\/3*4. What is the smallest value in k, -219, -0.1, -0.3, 5?\nAnswer: -219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**6\/2 - 6*p**5\/5 - 33*p**4\/4 + 12*p**3 + 54*p**2 - 41. Factor q(t).\nAnswer: 3*t*(t - 3)**2*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/(-36))\/(4\/1335376) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8428 + -5824. Suppose 20*n + i = 27*n. Is n a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*t - 241, 3*t - 2*i = i - 135. Let z be -3*(2 - 1) + t. Let s be ((-2)\/5)\/(z\/20). Which is greater: s or -2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o - 61*o + 136*o = -116*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2951423 is divided by 144?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 + (-58)\/(-28))*(-231)\/14784 and -91\/18.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 229331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9163*u + 146594. Determine g(16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**2\/9 + 52*c\/9 - 46\/3 = 0.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 51. Which is the smallest value? (a) -5 (b) 1\/5 (c) r (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 953660063.\nAnswer: 23, 43, 964267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 90522.84 nanoseconds?\nAnswer: 0.000001508714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -379 divided by 3?\nAnswer: -379\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046249 divided by -28277?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h**2 - 13*h + 79. Let x be o(9). Let v = 1367 + x. List the prime factors of v.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2061\/(-99) - 2\/11. Which is smaller: p or -17?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1495708 is divided by 687.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 - -29. Let l = r - -22.1. Let v = -3.1 + l. Which is the fourth biggest value? (a) v (b) -1 (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2344 is divided by 185.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - i. Let u(a) = -2 - 7*a - 3*a + 9 + a**2 + 0*a**2. Let n(h) = 2*j(h) - u(h). Calculate the common denominator of -24\/5 and n(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let d(m) = -9*m + 21. Let q(v) = -18*c(v) + d(v). What are the prime factors of q(9)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/y**(1\/3)*y**(-7\/4)*y**(2\/27))**(4\/19) assuming y is positive.\nAnswer: y**(-109\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7564 and 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + sqrt(117)\/sqrt(9) + -6*sqrt(13) + -3).\nAnswer: 30 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 158*c**2 - 1552*c - 97279. Give w(-152).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -9. Calculate the greatest common factor of j and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-5))\/(1 + 3). Let p be (6\/(-30))\/(s\/((-20)\/8)). Suppose 2*d + p*d**4 + 3*d**2 + 1\/2 + 2*d**3 = 0. What is d?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -2*v - 24, 33 = 5*q - 2*v - 2*v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1562110972 to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.03 * -1532.6.\nAnswer: 13839.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + a = 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 628896960 by -114930.\nAnswer: -5472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 1)*34\/4. Let w = 28 + o. Suppose -6 - 149 = -5*g. What is the remainder when g is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/8135 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2996 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*y = -291*y + 218*y - 716 - 84 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4 = -12. Find the third derivative of s**o + 2*s**4 + 0*s**2 + 0*s**2 wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4*f - 15 = 0, 5*t + 16 = -5*f + 36 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**5\/2 + 1427*h**4\/10 + 24033*h**3\/10 + 41909*h**2\/10 - 4770*h - 9842\/5 = 0. What is h?\nAnswer: -74, -19, -14\/5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -6.321.\nAnswer: 1.8963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwuc when four letters picked without replacement from ccbjcwujwwwgcwwjcbcb.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -259 - -389. What are the prime factors of n?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328, 329, 332, 337, 344?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 17*x**3\/6 + 30*x. Let h(r) = -3*r - r + 5*r. Give h(v(k)).\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z = 42*z - 374 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -175 + 336. What are the prime factors of q?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = i - 2*i. Suppose 5*o - 8 - i = -2*a, 3*a = 12. Let n = 21 - 15. Calculate the least common multiple of o and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 2 - 5 + 12 + 25 + 3 + 0 - 2 + (-2 + 0 + 3)*(-2 + 3 - 2))*(-w - 3 + 3) to the form b + y*w and give y.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-16)\/f)\/f)\/f)\/(f*f*f**(-12)*f))\/((f*f\/(f**12\/f*f))\/((f*f\/(f**(-1\/2)\/f))\/f)) assuming f is positive.\nAnswer: f**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + (1*sqrt(468))**2 - (sqrt(468) + (sqrt(468) + 0)*-1)**2)*6 + -5.\nAnswer: -11141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4271 is divided by 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 4.9. Let v = 5.1 - y. Sort v, 2\/3, -0.2 in ascending order.\nAnswer: -0.2, 2\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y + 10. Give b(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -87985 >= -1319794\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 1820 = -247. Suppose 0 = -4*z - h + q + 76, -5*z = -h - 244. Let i = 55 - z. Solve 2 = -3*v + 2*r, 2*v - 2*r - 2 + i = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b + 43. Calculate the remainder when 20\/10*(-83)\/(-2) is divided by g(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26291\/8089 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*q**2 - 3*q**2 - 19 + 5*q**2 + 21*q**2 wrt q?\nAnswer: 52*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millisecond in microseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 18 = -30. Let u(j) = j + 16. Let a be u(w). What is the highest common divisor of 70 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 76346569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 123960 and 676.\nAnswer: 20949240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**6\/40 - 36*k**5\/5 + 423*k**4\/8 - 822*k**2 - 1. Find s such that u(s) = 0.\nAnswer: 0, 3, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2084, -2143, -2200, -2255, -2308, -2359, -2408?\n\"Answer: q**2 - 62*q - 2023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 1456*k**3 + 249*k**2 - 249*k + 1. Calculate b(1).\nAnswer: 1457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1632, 3, -6, -4 in increasing order.\nAnswer: -1632, -6, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -187\/10, -1\/3, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvd when three letters picked without replacement from vdpgd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47783 - 67511. Let k = -12295 - t. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2 + 6 - 4)*(0 + 3 + 0 - 4 + 2 + 1 + (-1 + 5 - 2)*(1 + 0 + 2)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 19. Calculate the remainder when 2 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 20*j**2 - 15*j + 3. Let k(o) = -o**3 + 18*o**2 - 13*o + 2. Let g(t) = 6*k(t) - 5*v(t). Let d be g(-2). Solve -9*p = -2 - d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1053) - ((sqrt(1053) - (sqrt(1053) + -1)) + 1)) - (-3 + sqrt(1053))*-6*-2)*1*4.\nAnswer: -216*sqrt(13) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 0*v**3 + 0*v**3)*(4*v**2 - 2594*v + 5191*v - 2497*v - 2).\nAnswer: -4*v**5 - 100*v**4 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72806 + 9879 + 612816 - 2*o.\nAnswer: -2*o + 549889","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*p - 22*p + 40. Is (6\/(-9))\/(p\/36) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 105*z + 10387. Determine t(-99).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-54)\/21)\/6)\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1931\/6 + -321. What is the common denominator of -14*((-1)\/9 + 0) and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33.6 * 0.5\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 - 7*o**2 + 15*o + 42. Let u be q(-4). Let w = 0.03 + -3.03. Let t = -4 - -4. What is the third smallest value in t, w, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 108?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-36)\/504*28?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/8, -0.1, -7.51, -31, 1\/7, 2\/3?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1060221 + 102473*x + 1060221.\nAnswer: 102473*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from ioyokynnyn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 13*j - 44 + 348. Let g(c) = c**2 + 7*c + 9. Let a be g(-6). Solve -4*n + j = a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 432\/1892 - 8\/172. Sort 4, -1, v, -1\/5, -35 in decreasing order.\nAnswer: 4, v, -1\/5, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4368699?\nAnswer: 3, 485411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -118844402, -118844408, -118844418, -118844432?\n\"Answer: -2*a**2 - 118844400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 q, 1 c, and 1 k when four letters picked without replacement from kcckkqchcc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**2. Let y(a) = -248*a. Determine y(r(q)).\nAnswer: -992*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6685 from -565592034.\nAnswer: -565585349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*r**2 + 41*r**3 + 2*r**3 - 2*r**3 wrt r.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 3*k + 3, 2*r + k + 3*k = 2. Is (1\/(-2))\/(58465\/19490 + r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4554)\/(-48) + 1\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 31. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 3*n = 4*u + 61791, 0 = u + 5*n - 12345. Let t = 20569 - u. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13569995?\nAnswer: 5, 17, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*m - 172*m - 171*m + 517*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 107 = q, -93823*q + 93828*q - 67 = -u for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 16*f**2 + 5*f - 21. Determine p(-15).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 140579, 140580, 140581, 140582, 140583?\n\"Answer: i + 140578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6423 - -6361. Which is the nearest to -0.1? (a) 1 (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2330 = -217*n - 3095 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 4. Let k = j + -5. Let r = -5 + k. Which is the nearest to 2\/3? (a) 4 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/13 in -2, -2\/3, 1.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k**3 + 438 + 210*k**2 - 381*k - 473*k - 28*k**3 + 203*k = 0.\nAnswer: -73, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 43*y - 46*y - 324, -3*y - 948 = -3*a. Does 47 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + 4 + 0 - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9820447 by 28301.\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4230391446 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/23 + 10680*d**2\/23 - 14268474*d\/23 + 28494244\/23 = 0. What is d?\nAnswer: 2, 2669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -889023, -889308, -889593?\n\"Answer: -285*x - 888738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - -4996a5?\nAnswer: 4996b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**6*y**2 + 19525*j**5*y + 387238*j**2*y**2 wrt j?\nAnswer: 120*j**3*y**2 + 1171500*j**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 37.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/9 of a day in minutes?\nAnswer: 5120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -3*o + 4*h - 3*h + 105, -4*h = -9*o + 44*o - 30*o - 105 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 + 665*k - 28691. What is l(48)?\nAnswer: -1379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 + 11*z - 11. Calculate the least common multiple of 312 and d(1).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 5:52 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = 3. Suppose n - u - 4 = 0. Solve -2*s + 2*l = -l - 17, 5*l + n = -2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470627887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 3, -33?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -58018812 >= -58018813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - (-155)\/35) + (-291)\/(-7). Let g = d - 72. What is the units digit of 62*(-5)\/g*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2504)\/(-76) - 3) + 2. Let b = d + -32. Let r = 0 + -0.4. Put b, r, -3\/4 in decreasing order.\nAnswer: b, r, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24502 (base 7) to base 8\nAnswer: -14425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.00978 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 158543969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = l - 14. Let m = 16 - l. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 5:40 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-4)*w*(w**(-3)\/w)\/w)\/(w\/(w**4\/w*w*w)*w*w*w**(-1\/11)*w))**(-3) assuming w is positive.\nAnswer: w**(195\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 15*u**2. Suppose 0 = 3*p + 4*h - 12, 0 = -2*p - 2*h - h + 7. Let c(o) = p + 1 - 9 - o**2. Calculate c(z(x)).\nAnswer: -225*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 - 61*n + 81. Let i be c(19). Solve 5*s + i*p + 3 = -2, -3*s + 5*p + 37 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 55*r**2 + 153*r + 212. Determine l(52).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6.4. Let i = 525.6 - 529.6. Which is the second smallest value? (a) -2 (b) 5 (c) r (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 2. Let g(m) = 1. Give -3*g(p) - i(p).\nAnswer: -p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*b + 68*b + 4*c - 0*c - 58, -18*c - 28 = 5*b - 32*c for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**2 - 9*t + 1. Let p be l(-6). Solve 0 = -q - 6 + p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -11*k + 29. What is r(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3620 - 3619. Suppose -27 = -4*m + q, -m - 2*m + 20 = -q. Which is the nearest to -2\/5? (a) -4\/5 (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gegg?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -185 or -1147?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 443626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 j when three letters picked without replacement from {k: 1, i: 1, b: 1, q: 1, j: 2, v: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + n + 19, 19 = 4*r + 6*n - 47 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1949)\/(-5847))\/((-2)\/6*7). Let u be (-3)\/(-3) - (-1)\/(-3). Let q = 3 - 3.2. Which is the closest to 0.03? (a) q (b) u (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 343 (base 6) to base 13\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 800612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k + 2*b - 22, 3*b = 4*k - 65. Let v be (-1 - 10\/(-6)) + k\/(-3). What is the remainder when (4 + v - 0) + 23 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 33. Sort -0.5, 4, q, -1\/33 in descending order.\nAnswer: 4, q, -1\/33, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 46*b**3\/3 - b**2\/2 + 9. Is l(-1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2308.948 years in months?\nAnswer: 27707.376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -302018, 8, 3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(325) + (-1*sqrt(78))\/sqrt(6))*6 + -5 + -2*sqrt(325) + 3*(sqrt(13) + -1)*-6)**2.\nAnswer: 2236*sqrt(13) + 96317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 9*q - 2. Let x be (6\/(-8))\/((-2)\/24). Suppose 3*t = -24 - x. What is the tens digit of r(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight thirds of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2437, 2435, 2431, 2425, 2417, 2407, 2395?\n\"Answer: -b**2 + b + 2437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/8*8\/30*21. What are the prime factors of 0 + 233\/2 - 21\/l?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 8*i + 13*i - 30 = 0, -5*u - 2*i + 5 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -11010110110000?\nAnswer: 11010110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/66 and 163\/90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -622*c. Let r(n) be the third derivative of n**5\/120 + 8*n**3\/3 - n**2 - 14. Let o(f) be the first derivative of r(f). What is j(o(h))?\nAnswer: -622*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 1, 5*g - b - 263 = 2*b. Calculate the highest common divisor of 52 and g.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 6*u - 3. Let s be o(-5). Suppose -9*j = -8*j + 572. Let a = j - -12010\/21. What is the nearest to s in 0.3, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.840358 and -1?\nAnswer: -3.840358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/((-55)\/20))\/((-4)\/8) + 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5973866 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a72a + 2?\nAnswer: -a728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 + 138*q**4 - 3*q**2 + 112*q**4 - 1 - q - 286*q**4 as b*q**2 + j*q + v*q**4 + l*q**3 + w and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5894, -11844, -17828, -23846, -29898, -35984, -42104?\nAnswer: -48258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20970*a*c**2*j - 2*a*c*j + 21*a*c + a - 2*c**2*j - 62*c*j wrt c?\nAnswer: -41940*a*j - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + sqrt(45)\/(sqrt(9) - ((sqrt(99) - (sqrt(99)*3 + sqrt(99)) - sqrt(99) - sqrt(99))\/sqrt(11) - sqrt(9))) + 3 + -1.\nAnswer: sqrt(5)\/7 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/792 and 97\/352.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/474 + -5129\/40290. What is the common denominator of l and 58\/25?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 65 = 2*r. Calculate the remainder when 152 is divided by r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**6\/720 + m**4\/6 - 6*m. Let k(r) be the third derivative of b(r). Let a(c) = 2*c. Give a(k(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 12:41 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5768*g**5 + 51*g**4 + 177*g**4 - 669*g**3 + 5764*g**5 + 1288*g**2 - 852*g + 212 - 203*g**3 = 0. What is g?\nAnswer: 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5270007t in grams?\nAnswer: 527000.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/39 in 0.2, 7\/4, 2, 42, 0.4, 69?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.76 + 0.24. Which is the third biggest value? (a) h (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 472872\/(-125172)*(-10)\/34.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*u**6 - 52*u**6 - 6726*u**3 + 6705*u**3 + 710*u**2 + 1272*u**2 wrt u?\nAnswer: -4080*u**3 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 2) + (0 + 0 - -2). Let i(m) = m**3 - 4*m**2 + 2*m + 1. Let d be i(3). Which is greater: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 5*j + 2*j**4 + 2)*(4*j + 0*j - 5*j)*(141 - 698 + 321) - 73*j**3 - 10*j**5 + 73*j**3.\nAnswer: 462*j**5 + 472*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ilttnnnitnllttlnnt. What is prob of picking 3 l?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-16)\/36*(-59)\/((-1652)\/546)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*j = -84, -i + 2*j = -3 - 8. Suppose i*w + 20 = 23*w. Let r be 12\/(-30) + 67\/w. Is 6 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339007428.\nAnswer: 2, 3, 47, 191, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 5*a**2 + 7*a - 3. Let v be f(6). Find the third derivative of 2*x**2 + 0*x**v - x**3 + x**3 + 2*x**5 wrt x.\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 - -12) + (-1 - 0). Suppose -2*c + o*c - 36 = 2*p, 2*c - 3*p = 74. Calculate the highest common divisor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.43 times -0.29075\nAnswer: 1.2880225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 4:12 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -157*g**2 + 143*g.\nAnswer: -314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 96 = -4*n. Let j = -13 - n. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*-6015.8\nAnswer: 7218.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, -19, -74, -181, -358, -623?\n\"Answer: -3*a**3 + a**2 - 3*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (522\/72 + -7)\/((-10)\/(-8)). Solve 0 - 1\/5*i + x*i**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**2 + 2*z + 5. Let f be (-2)\/(-4) + 36\/(-8). Is w(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 56*p**2 - 7*p - 3. Let x(t) = t**3 + 13*t**2 + 5*t + 48. Let n be x(-13). Let q be j(n). Round q to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w + 1. Let j(x) = -2. Let u(p) = f(p) - 2*j(p). What is u(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3052926)\/54*-1374 + -6. Round m to the nearest one million.\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28\/17 + -276\/85. Is h at most as big as -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.9 - -13. What is the closest to w in -5, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 33815750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, 15, 0, -4 in descending order.\nAnswer: 15, 6, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*q - 2*m - 37, -5*q - 48 = 4*m. Which is smaller: -10 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2\/9 (b) 0.5 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -5. Suppose r + d = -2*r, w + 4*r = 0. Solve -w*h - 2*g - 3 = -1, -5*h = -3*g - 25 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -254738 divided by 1.\nAnswer: -254738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -2\/83, -2\/5, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/9 - -3) + (-12)\/36?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + 1*-2 + -1. Suppose -2*k - 1 = -v. Let u be -2 + (-2)\/(-1) + k. What is the highest common factor of u and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4477 and 122914.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -739\/7 + 6896\/63. Find the common denominator of 287\/(-66) + (-156)\/2574 and m.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 14374 + 2015 = 0. Let z = 25429\/14 + o. Let m = -14069\/15610 + 2\/1561. What is the common denominator of m and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -542807, -1085619, -1628431, -2171243, -2714055?\n\"Answer: -542812*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -76\/1075219 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12158504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -234*u + 1644. Let r be m(7). Let o(t) = 3*t - 6. Give o(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**2. Let h(c) be the second derivative of 10*c + 0*c**3 + 1\/6*c**4 + 0 + 0*c**2. Give r(h(y)).\nAnswer: 28*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 22934211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 9*x + 4. Let f be t(9). Factor -7*s - 9*s + 48*s**4 - 32*s**2 - 20*s**3 - 52*s**f.\nAnswer: -4*s*(s + 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*((-483)\/(-6) - 10). Put 2, -1, v in ascending order.\nAnswer: -1, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 2, 43, 17, 31 in decreasing order.\nAnswer: 43, 31, 17, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 328417?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-1)*(-4)\/6. Let a(b) = -5*b - l*b + b + 9 - b**2. Let z be a(-7). Solve -z*f - 4 = -0*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -4. Let w = -17\/7 - -99\/35. Which is the third smallest value? (a) p (b) w (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p**2 + 2*p + 5. What is the units digit of k(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**4\/12 + 2*d**3 + 6*d**2. Let t be g(-8). Let r be t*2*(-2)\/4. Sort r, 1, -0.5.\nAnswer: -0.5, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*y + 230*y - 16359 = 150*y for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 265 (base 12) to base 5\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2.7 (b) 4.2 (c) -2\/15 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55583\/181 at least as big as 308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 955336 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2162262463 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7.9 or 323?\nAnswer: -7.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g = 108 - 92 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 66?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 t when three letters picked without replacement from ttftf?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 135.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -6050*p**3\/3 + 8085*p**2\/2 - 4820. Find the second derivative of u(y) wrt y.\nAnswer: -12100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 336*u - 42613. Give w(127).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n = 24*n - 1. Sort -2, -9, n, -1 in ascending order.\nAnswer: -9, -2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 403 - 712?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 676\/(-19266) + (-61)\/(-114)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 30 = -5. Sort t, 4, -3 in descending order.\nAnswer: 4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 576 - 564. Solve -4*c - 4*q = -r, c + 8 = 2*c + 2*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -316 (b) 1 (c) -0.05 (d) 0.4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 13*a**4\/12 - a**3\/6 + a**2\/2 + a. Let l be y(1). Let t = l - -5. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.247602 less than -274?\nAnswer: -274.247602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -498 - -528. Let o be 91 - (-1 - 2\/1). Suppose 206 = 4*s - o. Calculate the greatest common factor of y and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -0.4, 18, -32, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scrr when four letters picked without replacement from {s: 1, r: 2, o: 1, n: 2, c: 1, z: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.858 rounded to one decimal place?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -403 times 26?\nAnswer: -10478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689883 is divided by 137961.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**5 - 7915*m**4 - 38890*m**3 + 887200*m**2 + 5554560*m = 0. Calculate m.\nAnswer: -1578, -8, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 126079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**2 + 168 - 170 - 3*i**2 in the form m*i + o + w*i**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*z + 15 = 0, 3*t - z - 5 = 6*t. Which is the second biggest value? (a) t (b) 0.04 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -101, -98, -95?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 22970 = 5*z, -5*t + 22970 = -3*z + 8*z. Let w = z - 1347. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9129 and 4.\nAnswer: -36516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 44940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001576 rounded to five decimal places?\nAnswer: 0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l + 1 + 4*l + l**2 + l**3 + 4*l**3. Determine x(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 3*j**2 + 3*j + 4. Let n be t(4). Suppose -4 = -v - v. Let w be 1 + 11\/(-4) + v. Which is bigger: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 198 = 3*n, -17*n - 214 = -20*n - 5*p. What is the highest common divisor of 119 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 7, 4 in decreasing order.\nAnswer: 7, 5, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + -1*(2 + sqrt(2057) + sqrt(2057)))**2 + (-6*sqrt(204)*1)\/(sqrt(1500)\/sqrt(5)).\nAnswer: 5274*sqrt(17)\/5 + 49464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 12657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 11. What is the remainder when 67 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 32. Let r = b + -16. What is the smallest common multiple of 4 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((-12)\/16)*(-3)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 266739, 533470, 800195, 1066914, 1333627?\nAnswer: 1600334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-52) + 10\/65)\/(-30 - (-4587)\/132).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 3920 = 4*b. What is the highest common factor of b and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - g**2 - g - 2. Let v be j(2). Find the second derivative of -10*x + 35*x**5 - 3*x**5 + v*x wrt x.\nAnswer: 640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, 83, 450, 965, 1634, 2463, 3458, 4625?\nAnswer: 5970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3255 is divided by 651?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -3\/8, -2\/13, 2\/49, 0?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 4:11 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 648, 652, 658, 666, 676?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 63*o**2 + 482*o + 59. Let r be n(7). Which is the biggest value? (a) -176 (b) -2\/11 (c) -2\/13 (d) r (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.877403kg?\nAnswer: 8877403000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from ffbebbff.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -36*a + 27. Let o(u) = -5*u + 4. What is 4*l(t) - 27*o(t)?\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.743 times -0.05?\nAnswer: -0.53715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - y + 267 - 1150, -454 = -2*m - 2*y. Calculate the highest common factor of 777 and m.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 3:37 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**3 + 27*p**2\/2 - 63. Find c such that k(c) = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*n**3 + 5*n**3 - 12*n**2 + 4*n**2 - 2*n**3 + 2*n**3 + 2*n**3 + (-5*n + 2*n + 2*n)*(3*n**2 - 4*n**2 + 2*n**2).\nAnswer: -8*n**3 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2319\/(-27828)*(-1 - -89)\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -6. Let t(n) = n**2 + 2 + 2*n + 3*n + f. Let p be t(-6). Calculate the greatest common divisor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**7\/70 - 16*i**3\/3 - 5*i**2 - 8. Let o(u) be the second derivative of m(u). What is the derivative of o(v) wrt v?\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 1. Let g(w) = 3*w**2 + 5*w - 9. Let s(o) = -g(o) + 4*r(o). Let t be (22\/66)\/((-2)\/(-6)). Let p = 3 + t. Calculate s(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 145, -14, -421, -1196, -2459, -4330, -6929, -10376?\n\"Answer: -20*m**3 - 4*m**2 - 7*m + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q - 28. Let j = -194\/7 - q. Which is the third biggest value? (a) -0.5 (b) 22 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 3*n + 5. Let s be t(-5). Let k = 69895 + -69900. Which is the nearest to s? (a) k (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 113 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-10))\/((11523\/(-276))\/((-5)\/60*5)).\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1272455 divided by 2\nAnswer: 1272455\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4 + 40*x**3 + 154*x**2 - 484*x = 0. What is x?\nAnswer: -11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 10. Let t = m + -141\/10. Calculate the common denominator of -23\/16 and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 31 + 4*d + 34 - 65. Let m(s) = 2*s. Give m(c(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8131 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -1145 (b) -6.2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 25*j - j - 7*j. Let q(p) = -4*p + 7*p - 5*p. Calculate y(q(w)).\nAnswer: -34*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (14 - 0) - (-140 + (-55 + 27 - -69))?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*a - 6 = 0, 4*b = -0*b + 4*a - 24. Let o = 9 + b. Calculate the least common multiple of o and ((-7)\/4)\/((-2)\/8) + -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1797 - 1471. List the prime factors of q.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 7. Let w be v(-2). Suppose 40 = -3*j + 1. Let p = j + 22. Is w <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = p + 2 + 4, 2*p = -q - 3. Suppose d - 9 = -q. Solve -5*x - d = 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -2\/11, -1, 0.4, 389 in decreasing order.\nAnswer: 389, 5, 0.4, -2\/11, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 9. Calculate n(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*s + 14*s - 23*s to the form h + n*s and give n.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (2 + -15 - (-146 + 58 - 16))\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from hhhrhrhrhrh.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230913058?\nAnswer: 2, 349, 330821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - 111?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64695, 129391, 194087, 258783, 323479?\nAnswer: 388175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -130*r - 2\/21*r**3 + 152\/21*r**2 - 2028\/7.\nAnswer: -2*(r - 39)**2*(r + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/48 - 14\/12. Let i be 1 + 0 + s\/1. Suppose i = c + 2*c - 36. Solve 2*q + 2*q = -c, 7 = -g - 2*q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 - 2*m + 2*m)*(-206 + 118 + 178)*(4*m - 3*m + 2*m)*(0 - 1 + 3 + 1 + 0 + 0 + (-5 + 2 + 5)*(0 + 2 + 0)).\nAnswer: -3780*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y - 8*y = 3312. Let x = y + -179. Factor 6\/13*j**4 + 4\/13*j**3 + 2\/13*j**x - 6\/13*j - 2\/13 - 4\/13*j**2.\nAnswer: 2*(j - 1)*(j + 1)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*v + 144790 = 0, -2*v + 206085 + 11112 = 3*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (74 + 1 - (-26 + 35)) + (33 - 16)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -167230*r**4 - 259*r**3 + 2*r**2 + 56*r - 191924 wrt r.\nAnswer: -2006760*r**2 - 1554*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.3802806 to two decimal places.\nAnswer: 21.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 2:35 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 9:21 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v - 4*v - 2*v + (2 - 2 + 1)*(1 - 1 - 3*v) - 24*v - 12*v + 19*v.\nAnswer: -21*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*x - 3, 1 - 5 = 4*x. Suppose -4*m + b*m + 8 = 0. Let f be (-1)\/(5\/m - 3). Solve -o = f*o + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1967, -7805, -17505, -31061, -48467, -69717, -94805, -123725?\nAnswer: -156471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3230 or -10?\nAnswer: 3230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/14 and 12\/(-28) + (-45)\/(-714)?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -386845\/8 + 48141. Let s = 210 + n. Find the common denominator of s and 89\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2708\/57, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - h**2 + 1. Let c(t) = 40*t**3 + 24*t**2 - 24. What is -c(d) - 24*g(d)?\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.9 in -0.26, 2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42*(-6)\/216*6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36.541 + 0.441. Let y = h - 7.9. Let i = y - -44.152. What is i rounded to two decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -415.49*20.\nAnswer: -8309.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g*m**3 + 3*g*m**2*w - 8*g*m**2 - 2*g*m - 200*m - w wrt m?\nAnswer: 18*g*m + 6*g*w - 16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 35268, 35270, 35272, 35274, 35276?\n\"Answer: 2*z + 35266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.29 - -2.89. Let n = l + -2.04. Let g = -0.4 + n. Round g to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -3*d + 12. Let q(b) = 4*b**2 + 2*b - 2. Let c be q(-2). Solve -v + 6 + c = d*p, 4*v - 25 = -3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b - 16. Let w be o(0). Let c be 108\/w + 3\/4. Let t be 18\/c + 3*2. Calculate the greatest common divisor of 9 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and 6.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*q + 264*q = 2366 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 75*d**3 + 9*d**2 - 9*d - 9. Let v(y) = 37*y**3 + 4*y**2 - 4*y - 4. What is -4*a(b) + 9*v(b)?\nAnswer: 33*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3728933 and 0?\nAnswer: 3728933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 880576195?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/1628 and 35\/148.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1793391547 rounded to 4 dps?\nAnswer: 0.1793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*i + 17. Suppose 2*f = z + 12, -2*z + i = -3*z + 3*f. Let m = 3 + z. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 - 5 + 6 - r + 5*r**2. Is z(-2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 1\/10, -138 in descending order.\nAnswer: 1\/3, 1\/10, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*y - 36, -y + 0*k = -4*k + 1. Suppose -3 = 2*h - y. Let f(t) = 5*t**3 - t**2 + 4*t - 3. Is f(h) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1451009449?\nAnswer: 17, 2521, 33857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1394, 3938, 6480, 9020, 11558, 14094?\nAnswer: 16628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = s + 18 - 0, p - 3*s = -11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 2162670.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**6\/1260 + 4*w**5\/21 - 400*w**4\/21 - 49*w**3\/2 + 3*w**2 + 46. Let g(o) be the first derivative of j(o). Factor g(v).\nAnswer: -2*(v - 40)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1149, 1111, 1027, 873, 625?\n\"Answer: -4*v**3 + v**2 - 13*v + 1165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3026 or -2990?\nAnswer: -3026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4496943 and -0.11.\nAnswer: 4496942.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 3\/5 (c) -20 (d) -5 (e) -1804\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -333 - -339. Solve 10 = q*t - t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 1211872.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*o - 11, -4*v + 20 = 5*o + v. Let z be ((-20)\/5)\/(2 - 0) - -2. Suppose z = -o*k + 2*k + 32. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18413 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 6*h**3 + 64*h**2 + 38*h - 20 = 0?\nAnswer: -10, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - (-84 + 41) - (-22 + 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*j + 288 = 166*j. Let i(k) be the third derivative of 0*k + 1\/150*k**5 + 0*k**3 + 7*k**2 + 0 - 1\/90*k**4 - 1\/900*k**j. Suppose i(a) = 0. What is a?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 824, -5, 4, 10.\nAnswer: -5, 1, 4, 10, 824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(200)*2.\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1877 + 1826 - 4*w - 3777 to the form z + y*w and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 12 = 10*r. Let v be (-5)\/10 - (-1)\/2. Let z(n) = -n**2 - 6*n. Let j be z(-5). Put j, v, r in increasing order.\nAnswer: v, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 419*w**2 - 2782 with respect to w.\nAnswer: 838*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 - 485 + 1469 - 492 - 492.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*c - 2011 - 4919 = 0 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 - 36. Let b = k + 6. What is the highest common divisor of b and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 32. Let p = o + -6. Suppose 5*n + 2*g - 9 = 16, -p*g - 15 = -3*n. Solve 4*c + n*s + 11 = 0, 10 = 3*c - 8*c - 5*s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - -3 - 1 - 2 - 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*g + 31800 = 2300*g + 35*g for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9341?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 1022.\nAnswer: -1\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) + 395\/4. Suppose -f - 2*f = -g. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.3, 2\/3, 2\/7, 0.07?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 9:05 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 1:14 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 5) in base 13?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 113521492?\nAnswer: 113521495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x - 41*x = -5*m - 110, 4*x - 128 = -4*m. What is the highest common factor of 144 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 1 (c) 3.9028 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1352*n - 5*h = 1347*n - 45, -5*n = -2*h + 33 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/42 and -53\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**2 + 5*v. Suppose 15 = -29*w + 24*w. Let a(x) = x**2 - 3*x. Determine w*z(d) - 5*a(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/5)\/w)**(-2))**(-21\/4))**(-35) assuming w is positive.\nAnswer: w**(1029\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1385.\nAnswer: 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, j: 7, d: 1}. Give prob of picking 3 j and 1 d.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 76173 a multiple of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w + 3. Suppose -2*x = 1 + 13. Let t be n(x). Calculate the highest common divisor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-10)\/8)\/(2\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001001100 - -1001111100110?\nAnswer: 1110000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2154077 (base 8) in base 9?\nAnswer: -1073112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223392 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 861\/35 - 5 - 3\/5. Suppose -93 = -w*v + 16*v. Let n = -34 + v. Is -7\/3 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 3\/16*x**4 + 34*x**2 + 0 + 1\/4*x**3 + 0*x - 1\/10*x**5. Determine g, given that p(g) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - -3. What is the remainder when f is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-6) - (-80)\/48.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2631 (base 16) to base 3.\nAnswer: 111102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 2*d + 3, -d + 22 - 11 = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17579, -17576, -17569, -17558, -17543, -17524?\n\"Answer: 2*h**2 - 3*h - 17578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2\/5, -70.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4cb9 + 3?\nAnswer: 4cbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from bobuibibu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a millennium in decades?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 p, and 1 b when four letters picked without replacement from {p: 4, b: 4, u: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**3 - 60*r**2 - 252*r - 196 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -17, 1.10994, -2\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 71*u + 1774. Determine z(-25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express a**4 + 61*a + 11 - a**3 - 2*a**2 - 15 + 6 as c*a + y*a**4 + q*a**2 + t*a**3 + g and give c.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**2 - 6*g - 6. Let j be a(-1). Let n = -4 + 10.8. Let c = n + -7. What is the smallest value in c, j, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*d - 39, d - 5*i + 69 = 4*d. Let b = 53 - 43. Calculate the smallest common multiple of b and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.7623 times 357\nAnswer: -4556.1411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 2121021201022?\nAnswer: -2121021201100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - 0. Let n(r) = r**3 + 6*r**2 - r - 5. Let s be n(j). Suppose m = -3 - s. Which is the second smallest value? (a) m (b) 1\/4 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 12. Suppose -w*s = -3*a + 14, -2 = -2*a - 0*a - 4*s. List the prime factors of (11\/a)\/(3\/9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/6*(-6)\/(-8). Suppose 3*f = -5*s - 13, -6*f = -u*s - f - 40. Which is the closest to 1? (a) s (b) 3\/2 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15856 or -15857?\nAnswer: -15856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g. Let c(v) be the first derivative of 2 - 1\/3*v**3 + 0*v**2 + 0*v. Calculate c(z(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -3, 3, -1379, 5, -13.\nAnswer: -1379, -13, -3, 3, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 0, 297, 4 in descending order.\nAnswer: 297, 4, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -173\/4. Let i = -3451 - -3450.6. Which is the smallest value? (a) i (b) -0.1 (c) x (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 637348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 241476 by 6.\nAnswer: 40246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + 10 + (-140)\/38. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942215 is divided by 235552.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -34*d**2 + 5*d - 1. Let f(w) = -2281614 + 2281614 + w. Calculate -b(q) + 5*f(q).\nAnswer: 34*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millisecond in microseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2\/17, 2, -9\/25, -1\/105?\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)\/(sqrt(54)\/sqrt(6)) + 3 - -6*2*sqrt(300)) + 2)**2*2.\nAnswer: 2420*sqrt(3) + 87896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26d61 (base 15) to base 6.\nAnswer: -2400244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = r - 3*p, -5*p - 25 = -4*r - 2*p. Suppose r*y + 3 = 5*y. Let k be y + (-2)\/(72\/100). Which is the second biggest value? (a) 0.2 (b) k (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 4628?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 60*d + 64*d - d**2 - 116*d - 3. Let t(l) = l**2 - 7*l + 2. Give -3*o(b) - 4*t(b).\nAnswer: -b**2 + 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/37010 and -34\/179?\nAnswer: 6624790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 10. Let l be (-730)\/(-630) - (-65)\/(-91). Put l, -11, z, -5 in ascending order.\nAnswer: -11, -5, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.07 (b) 0.4 (c) -107 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11234\/39 + 860\/3. Suppose -128*g + 129*g = 7, -2*y = -2*g + 16. Sort a, y, 0.1 in decreasing order.\nAnswer: 0.1, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11b (base 16) to base 6.\nAnswer: -1151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 181478923?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/62615 and -89\/214680?\nAnswer: 1502760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5 + 3*y**2 + 23*y + 3*y**3 - 2*y**3 - 27*y. Let m be j(-4). What is the nearest to 1 in -8, 0.4, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*k**3 + 4*k - 267*k**3 - 4*k + 846*k**3 - 280*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 127 - 127. Solve d = -3*l + 8*l + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 11*g + 7. Let o(t) = 5*t + 3. Let a(i) = 6*n(i) - 14*o(i). Let p(h) be the first derivative of -h**2\/2 + 22. Give p(a(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6952, 13908, 20838, 27730, 34572?\n\"Answer: -2*v**3 - v**2 + 6973*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + -7 + 4 + -2. Let i be 4\/6 - (-144)\/(-189) - q. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106275330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*u - 245 + 102 + 47 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88612014?\nAnswer: 2, 3, 47, 314227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*g**2*m**4 - 2*g**2*m + 2*g**2 + 19*g*m**4 + 2*g*m + 322*m wrt m?\nAnswer: 588*g**2*m**2 + 228*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(441)*2*3)\/(sqrt(84)\/(sqrt(12) + 2*sqrt(12)*2 + sqrt(12))))**2*1.\nAnswer: 1306368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - 8b?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -112*b**3 + 11*b**2 + 47*b + 12. Let n(t) = 37*t**3 - 4*t**2 - 17*t - 4. Give -4*f(d) - 11*n(d).\nAnswer: 41*d**3 - d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/161 and ((-24)\/840)\/(4\/(-390)).\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 7*q**2 - 1416239*q - 7 + 1416239*q + 8.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.01084 and 0.4.\nAnswer: 0.38916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 587009 to the power of 1\/2, to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 76 = -66. Let p(g) = 3*g**3 + 5*g**2 + 5*g - 5. Let f(b) = -3*b**3 - 4*b**2 - 4*b + 4. Give y*f(r) + 4*p(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8791 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4\/20*-3*(-2)\/(-3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**5\/10 - 2*i**4\/9 - i**3 + 10*i**2\/3 - 401*i. Find w, given that t(w) = 0.\nAnswer: -5\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42.47 - 47.47. What is the second smallest value in 4\/5, 0.4, 0.7, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57060154 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -449481 - -449481.1000009. Let r = 0.1 - c. Round r to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwewepewwhecd. Give prob of picking 1 d and 1 c.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 55 = -5*t, 4*y = -t - 1 + 20. Suppose -5*m + w = -555, 0 = 5*w - y - 19. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, -10.1, -5, 1\/4, 0 in descending order.\nAnswer: 1\/4, 0, -5, -10.1, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/75)\/(78\/(-7)*3955\/(-11300))?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, j: 3, l: 1, c: 1, k: 5}. Give prob of picking 1 l, 2 k, and 1 c.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(10) + sqrt(90)) - (sqrt(76) + -3).\nAnswer: -7*sqrt(19)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5.152895 tonnes?\nAnswer: 5152895000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129\/(25800\/(-80))*10*(-3)\/1092?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k + 1. Let h(o) = -o**3 + 7*o**2 - 2*o - 16. Let l be h(5). Let f = -16 + l. Let i(x) = -6*x + 3. Give f*a(d) - 3*i(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -15*l**3 + 4*l**2 - 6*l + 5. Let j be k(2). Let g = 117 + j. Solve -4*f - 10 = g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 232 = -152. Let l = f + -140. Calculate the remainder when l is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 7*w = -12. Suppose -w*j + j = -6. Let c = -698 - -708. Solve -j*u = -u + c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -713a?\nAnswer: -7141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9183232.\nAnswer: 2, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2359 = -35*c + 2634 - 3558 for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(468) + 0 - sqrt(468)) + (sqrt(468) + sqrt(468)*-2 + sqrt(468))*-3.\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/122, -0.09, 5, 0.3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 15) to base 16.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14340927?\nAnswer: 3, 1933, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1)\/(-14) - (-102)\/(-21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 79534 and 9177?\nAnswer: 238602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 13*n + 3. Let q be r(-13). What is the tens digit of -1 + (-6 + q - -21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ici when three letters picked without replacement from chbbiiziwbiibibbcc.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(216)*-5 - sqrt(192)\/(sqrt(8) + 2*sqrt(8)))\/(5*5*sqrt(1452)).\nAnswer: 46*sqrt(2)\/165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjjbbj. What is prob of sequence jjj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10183 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3\/5 (b) -4\/61 (c) -46 (d) -0.3 (e) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, q: 2, t: 8, c: 5}. Give prob of picking 1 e, 1 t, 1 c, and 1 q.\nAnswer: 8\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144595731 - 10427*i - 144595731 to the form k + z*i and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -16*g**2 + 686*g - 7192. Determine m(18).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -168441218*v**2 - 669150780 wrt v?\nAnswer: -336882436*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20277, 40580, 60771, 80850, 100817, 120672?\n\"Answer: -56*x**2 + 20471*x - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4632 and 2?\nAnswer: 4632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*i - 7 = -7*i, -4*m - 2*i = 0. Find the common denominator of 1020\/432 - 2\/8 and m\/10*(-3135)\/(-44).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2895 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 - -21445506397.\nAnswer: 21445506422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 7:24 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -3*d**4\/4 + d**3\/3 - d - 32. Let x be (6\/(-9))\/(4\/(-6)). Let r be t(x). Sort 2, 4, r in decreasing order.\nAnswer: 4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 0. Let t be 0*-2*q\/(-2). Solve -2*m - 2*m = t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 201 + -167. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(0 + (-8)\/(-10)). Suppose -12 = -u*h + h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -2*f - 19, 2*v = 2*f + 10 + 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q + q**3)*(318*q + 251 - 492 + 241 + 2822*q).\nAnswer: 3140*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 6*x**2 - 6*x - 4. Let k be u(-7). Let a = k - -12. Solve 3*p - 5*o - 3 = 0, -3*p + 4*p - a = -5*o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -166005*f**2 + 50*f - 107. Let v be z(5). Round v to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/35)*m)**46\/(m**(-9\/4))**(-29) assuming m is positive.\nAnswer: m**(-2327\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 36.9. Let n = k + 2. Which is smaller: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 2*l - 3 + 7, 5*f + 6 = 3*l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 3:41 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-5))\/((-10)\/(-5)). Let s = -0.05 - 3.95. Let l = -4 - s. Which is the nearest to g? (a) -3 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 + 785 - 785 + (-k - 2*k + 4*k)*(0 - k + 0) - 671*k**2 + 340*k**2 + 355*k**2 as g + q*k + n*k**2 and give n.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1089 - -738. Let q = c + 350. Sort 0.32, q, 0.1 in decreasing order.\nAnswer: 0.32, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/33660)\/((-12)\/144).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.9, -67, 37995 in descending order.\nAnswer: 37995, -0.1, -0.9, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -50998, -204069, -459202, -816397, -1275654, -1836973, -2500354?\n\"Answer: -51031*j**2 + 22*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -15, -5, -31 in decreasing order.\nAnswer: -3, -5, -15, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**32*t*t*t)\/t**(-24)*t**(1\/7)\/t**(-25))**(-39) assuming t is positive.\nAnswer: t**(-22971\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 15. Suppose -3*x = -6 - u. What is the remainder when 34 is divided by (-2)\/(0 + x\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97112841.\nAnswer: 3, 7, 877, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845071.\nAnswer: 67, 12613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*z - 32, 0 = -4*a + 2*z + 14 + 6. Suppose -4*d - 8 = -a*d. Let p = -6 - d. Solve 4*g = -q + 8, -q - p*q = 5*g - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -160405\/4 + 39829. Let x = i + 264. Which is bigger: x or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p - 15. Calculate z(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(20) - sqrt(100)\/sqrt(5))*1)\/(sqrt(4) + (sqrt(120)\/sqrt(3))\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -986*r + 394. Calculate the remainder when m(-1) is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x. Suppose -2 = -0*h - h. Let j(r) = 4*r**2 + 0*r**h + 0*r**2. Give z(j(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*d + 242, j - 4*d - 62 = -d. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -4*j - 15, 2*r + 1287*j = 1282*j - 24 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26253\/755 - -9237\/151. Find w such that 387\/5*w**2 - 123\/5*w**3 - 3\/5*w**4 - 393\/5*w + x = 0.\nAnswer: -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.89964 + -0.9. Round n to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/(-78)*(-75)\/10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -336034947*k**4 - 317759742 wrt k.\nAnswer: -1344139788*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8*w - 4. Let f(x) = -24*x - 14. Let n(o) = -3*f(o) + 8*s(o). Let z be n(-1). Solve -z*h = -q - 3*h - 5, 0 = -q - 4*h - 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w + w**2 + 3*w - 34 + 0*w + 33. Let h be x(-1). Suppose h*v - 3*b = -3*v + 274, 68 = v - 5*b. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 3, 8*o - 3*p = 13*o + 23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 21 = -a, -4*q - 4 = -a + 16. Let o = -15 + a. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142443, 284884, 427325, 569766?\nAnswer: 712207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 5*z + 3980. Let c(d) = d + 1562. Let w be c(0). Let r = w - z. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 913831081?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 at least 616141\/2513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75806938?\nAnswer: 2, 37903469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -510845*m**4 + 2*m**2 - 323849 wrt m?\nAnswer: -12260280*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004548793 rounded to four dps?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -14568\nAnswer: 5\/7284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -10*y**3 + 43*y**2 - 135*y + 141. Let x(l) = 22*l**3 - 87*l**2 + 271*l - 281. Let q(t) = 7*h(t) + 3*x(t). Let q(p) = 0. Calculate p.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40494401, 40494399, 40494397, 40494395, 40494393?\nAnswer: 40494391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -247*o - 2 + 243*o + o**2 + o**2 + o**3 - 3*o**2 as f*o**3 + m + g*o + b*o**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3715 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a hour in seconds?\nAnswer: 13800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 9*s**2 - s + 13. Let n be z(9). Suppose -l = -n*l + 24. Let t = l - 3. Solve 5*a + t = -5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-945)\/10*(-8)\/6. Suppose -6 = 5*f - u. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irqtir. What is prob of sequence ii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (34 - 832\/26)*(-10)\/(-4). Let z(d) = 3*d - 2. Let h(p) = -10*p + 6. Let n(y) = 2*h(y) + 7*z(y). Let m be n(l). Solve m*t = -3 + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112877 + -3.\nAnswer: -112880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*c - 18 = 5*c, -l + 7 = -c. Let j be -193*4 + 2*(-2 + l). Let k = 4617 + j. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15708 and 12803?\nAnswer: 28729932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -250 * -0.2\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-6) + (-2 - 7\/(-3)). Sort 0, l, 0.2, -7 in increasing order.\nAnswer: -7, 0, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-88)\/(-144))\/1)\/((-50)\/(-15) - 2). Let y(c) be the third derivative of -z*c**4 + 0 + 11\/2*c**3 - 13*c**2 + 0*c. Differentiate y(b) wrt b.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/21? (a) -0.1 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*s - 5*s. Let o = 5.5 + 241.5. Is s != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789601103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1883079 and -5.\nAnswer: -1883084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**3 - 14*c**2 + 9*c**2 + c**2 + 2 to the form w*c + b*c**3 + h*c**2 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4814 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -554 + 5?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 16*k**2 + 11*k + 16. Let r be q(15). Let a = r + 3. Let g = a - -23. Is -17 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2127*m**3*z**2 - m**3*z - 21*m**3 + m**2*z wrt z.\nAnswer: 4254*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9509 is divided by 4749?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 7. Let p be (-224)\/(-5) + (-2)\/(-10). Suppose 5*k + b*w = -0*w + p, -2*k + 21 = w. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126)\/70*5*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -5. Let z be 66\/(-8) + (-3)\/l. What is the units digit of z\/(1\/2 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + sqrt(1331) + 1 + -5)**2*-2 + 3.\nAnswer: -2709 + 220*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1802029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 18 = -3*l, 4*l + l = 2*f + 27. Let r(x) be the second derivative of x**3\/3 + x**2 + x. What are the prime factors of r(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - ((-12 - 2) + 10 + 7 + 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, o: 1, l: 2, c: 4}. What is prob of sequence clom?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from {n: 1, k: 2, j: 1, d: 2, e: 1, o: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -15646?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22732571 is divided by 824.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -1640*i - 45. Is k(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3538 + 3537. Sort 0.4, d, 0, 23.5.\nAnswer: d, 0, 0.4, 23.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l - 4*k = -9, 12 = 3*l + k. Let c = 0 - l. What is the least common multiple of c*(4\/(-6))\/1 and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41811 - -70701. Is 54 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15445, 30892, 46339?\nAnswer: 61786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -224, -432, -624, -800, -960?\n\"Answer: 8*w**2 - 232*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 + -28 - -5) + -7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6230 and 252943263.\nAnswer: 252949493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 16027568\nAnswer: -3205513.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9745*h**3*q**2 - 1336*h**3*q + 1333*h**2 - 2001*h*q**2 - 2*h + q**2 wrt h?\nAnswer: 58470*q**2 - 8016*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2214 less than -2215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, -25, -4\/3, -0.04, 0, 9\/35?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 3.2. Let o = -0.3 + c. Let k be 8\/(-20) + (-38)\/(-20). What is the closest to o in -4, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(704) + 3 + -3)**2 + (sqrt(275) + 1 + sqrt(275))**2 + 1).\nAnswer: -9030 - 100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 5. Suppose -k = 3*w, 0*a + 4*w - 54499996 = 5*a. What is a rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + q**2 - 3)*(72*q**2 - 51*q**2 - 6*q**2 + 68*q)*(3 - 3 - 2) to the form d*q + z + n*q**2 + f*q**3 + g*q**4 and give f.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*o - 119*o = 44. Sort o, 0, -1, 1 in increasing order.\nAnswer: o, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/35 - 2\/5. Let n be (-18)\/(-12)*24\/9. Suppose 2*k = n*f - 6, k - 6 = -5*f + 12. Solve -k*r = 3*q - z*q - 30, 3*r = 4*q - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -40. Suppose b*s - 320 = -s. Let o = s + -16. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/822990 and -53\/274330?\nAnswer: 822990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 46\/(-207) + (-2)\/18\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 656801*m**5*v + 2*m**5 - 5*m**2 + 293*m + 155*v wrt m?\nAnswer: 39408060*m**2*v + 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (13330\/77314)\/((-15)\/(-3))\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -26, 1, -17, 4, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 220011000 (base 3) to base 14\nAnswer: 65b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -200849.9326 and -11.8?\nAnswer: 200838.1326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 954505807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9058 is divided by 175.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 - 380 - 1115 - 204 - 2*p**2.\nAnswer: -2*p**2 - 1699","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6102, 0, 2 in ascending order.\nAnswer: -6102, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkhkhk. Give prob of picking 2 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24319500769 - 172.\nAnswer: 24319500597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000132731931 rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/220 and -17\/44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1640*i**2 + 1933*i. Let p(d) = 3*d. Give p(a(r)).\nAnswer: 4920*r**2 + 5799*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by -19808\nAnswer: 71\/19808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 + 199 - (-12 - -1) - 42?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6174641 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*d - 994. List the prime factors of d.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11*12\/(-528))\/(7\/4)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6\/17 + -110\/119. Which is the fourth smallest value? (a) 4\/5 (b) l (c) -2\/3 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7738*m + 38647*m - 7731*m - 7730*m - 7736*m - 7711*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2272*m**2 + 2*m + 889 wrt m.\nAnswer: -4544*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 3 = -3*p. Let f(h) = 11*h + 13*h + 16*h - 10 - 41*h. What is the units digit of f(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**2 + 5*v + 4*v - 7*v - 1)*(-1083 - 21*v - 12*v + 1092).\nAnswer: -198*v**3 - 12*v**2 + 51*v - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -2*i**3\/9 - 20*i**2\/3 - 24*i + 1135. Suppose n(t) = 0. Calculate t.\nAnswer: -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(-4 + (0 - 1)). Let z(l) = l - 1. Let s be z(5). What are the prime factors of r\/(-4) + 3\/s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (27 + -44 - -42)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.29 from -2441952.817481.\nAnswer: -2441951.527481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnnnnnmnmnnnnnnmnmn.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 66 - 78. What is the greatest common divisor of j and 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Suppose 4*f - 9 = c*j + j, 4*f - 3 = j. Suppose 0 = 4*m - f*m - 12. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1280 and 496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 3 + 16 + 4*i - 30 to h*i + l and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*t**3 - 90420*t**2 - 5614994?\nAnswer: 36*t**2 - 180840*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18120 from 73609.71.\nAnswer: 55489.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -4 - (2 + 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**6\/3 + 96*s**5\/25 - 7*s**4\/2 - 308*s**3\/15 - 36*s**2\/5 + 16*s + 1726. Solve z(v) = 0.\nAnswer: -10, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*a - 164*a - 6*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23246 - -23259.972. What is m rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4414.58 rounded to the nearest one hundred?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 8*g**2 + 6*g + 7. Let s be -3 + (2\/3)\/((-21)\/(-63)). Let i be t(s). Solve -4*u = i - 13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 37. Solve r = -2*q - j + 3 + 6, 0 = -q + 4*j - 18 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20*((-9)\/15)\/(-3). Solve 12 = -p*r + 3*o, 0 = -0*o - 5*o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1008*d + 336*d + 337*d + 0*d**2 + 3*d**2 + 335*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 64\/16*(14 + (-6)\/3). Does 22 divide (87 + 0)*(t - 41)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68462399?\nAnswer: 383, 178753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 2*m + 2. Let r be a(-2). Let y = r + 9. Suppose -32*b - 12 = -38*b. What is the remainder when y is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (3 - 8) - (-2 + 0 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -36, 0.2, 0, 0.024, 16, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 15*g - 15 = 0. Solve 3*z - 5*z - r = -8, -2*r = -g*z + 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.6891454 nanometers?\nAnswer: 0.0000000006891454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 371*a + 8894. Determine p(-24).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14411*l + 27944*l - 1173 - 14733*l wrt l.\nAnswer: -1200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.5 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 206748?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118 - -243. Let h = 125.000952 - b. What is h rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2470 and 665.\nAnswer: 17290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16018 and 1?\nAnswer: 16018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -218 - -213. Calculate the smallest common multiple of (-8)\/p - -8 - 2\/(-5) and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5017820899.409 + 0.4\nAnswer: 5017820899.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 297575 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(176) + sqrt(44).\nAnswer: 4 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1406020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1584) + (2*sqrt(1584) + sqrt(1584))**2 + 1 + -2 + sqrt(1584) + (sqrt(44)\/(2*sqrt(36)) - (2*sqrt(1100) + sqrt(1100) + 1)).\nAnswer: -35*sqrt(11)\/6 + 14252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*j = 91, 0 = 4*g - j + 179 + 230. Let b = g - -86. Let s be ((-400)\/b)\/(1912504\/637500 - 3). What is s rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5486572255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from bbfffffffbfffbbf.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2*g - 3*w - 6 = 0, -w = 2. Suppose -4*x + 355 - 67 = g. Suppose 3*m - x + 18 = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2366*w**3 - 1568*w**2 + 5*w - 15. Let f(r) = 2367*r**3 + 1566*r**2 - 7*r + 20. Let x(h) = 4*a(h) + 3*f(h). Find the third derivative of x(t) wrt t.\nAnswer: -14178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1019?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-3 - -5) + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2\/3 - 12584*a + 118767792 = 0. What is a?\nAnswer: 18876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1696580000 rounded to the nearest one million?\nAnswer: -1697000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 7*x + 3. Calculate v(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (144 - 150)\/((-9)\/(-27)*78)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 - 10 = 0. Let t(y) = y**2 - 11*y + 16. Let c be t(u). Round c to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 171*i - 555. What is the tens digit of v(42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 29. Let n be a(-23). Let w = 5 + -3. Suppose -4*h + 3*x = -52, -n = -2*h - w*x + 20. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -106*f**2 - 22*f + 11. Let a(w) = 21*w**2 + 4*w - 2. Let o(d) = 11*a(d) + 2*s(d). Let x(y) = 614*y**2. Give x(o(q)).\nAnswer: 221654*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/13, -18, 0, -2, -12\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*0\/1)\/(-19 - -17). Suppose -w + 2 = -2*w - 4*y, 4*y = x. Are w and -30\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/4 + 1\/(-4). Let h = -3 - y. Let j = h + 12. Calculate the greatest common factor of 99 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -4. Let l be 175\/(-14) + 1\/2. Let p = z - l. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a. Let y(x) be the third derivative of x**6\/16 + 17*x**4\/8 + 9*x**2 + 2*x. Let i(h) be the second derivative of y(h). What is i(m(k))?\nAnswer: 90*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2 + 3 + o**2 - o**3 + o**4 + 0*o**2. Let m(s) = 11*s**4 - 15*s**3 - s**2 + 12*s - 1. Let d(t) = -m(t) + 3*v(t). Find y such that d(y) = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211948?\nAnswer: 2, 11, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 174673 divided by -409\nAnswer: -174673\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 3*g**2 - 2*g + 5874. Let o(x) = 3*x - 1. Let r(u) = -9*u + 3. Let d(a) = 8*o(a) + 3*r(a). Give -6*b(j) - 11*d(j).\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 35. Let f = -104 - -55. Let m be 28\/f*(-21)\/6 + -5. Put a, 2, m, 0 in descending order.\nAnswer: a, 2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 529984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*k)*(-3 + 0 + 4)*(4 - 2 - 1)*(-1 + 3 + 2).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -12. Let u be (-4)\/i*(-5400)\/(-14). Let c = -154 + u. What is the second biggest value in 5, c, -1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 342*u**2 - 8*u + 9. Is f(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 243 * -7.\nAnswer: -1701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15187488.\nAnswer: 2, 3, 281, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20728722661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2736) + sqrt(2736))**2 + -5.\nAnswer: 24619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*f**4 + 15*f**4 - 21*f**4 + (-2*f**4 + f**4 - f**4)*(-2 + 4 - 4) + 7*f**4 + 7*f**4 - f**4 to y*f**2 + c*f**4 + m*f**3 + j + d*f and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 3*h**2 - 2*h - 5. Let m(w) = -w**3 + 2*w**2 + 3*w + 4. Let x(b) = 2*m(b) + 3*r(b). What is x(6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 2:42 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9061)\/2091)\/(28\/9*39\/52)?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*q - g, 246*g = -2*q + 241*g - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 + 61*d - 42. Give h(30).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*v - 39*v - 18*v - v.\nAnswer: -169*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**34)**20\/(m**30\/m*m**(-47)*m) assuming m is positive.\nAnswer: m**697","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 131, 0.5, 1\/83.\nAnswer: 1\/83, 0.06, 0.5, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 + -55. Determine w, given that 2*w**2 + 0*w**2 - 3*w**a + 4*w**2 - 6*w = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**5\/7 + 12*h**4\/7 - 711*h**3\/7 - 1726*h**2\/7 - 1296*h\/7 - 288\/7 = 0. What is h?\nAnswer: -12, -1, -2\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -204179, 5.\nAnswer: -204179, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16705, 133620, 450943, 1068874, 2087613, 3607360?\nAnswer: 5728315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51257676859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 9*k**6\/10 + 13*k**2\/2 - 31*k - 18. Let s(t) be the first derivative of g(t). What is the first derivative of s(f) wrt f?\nAnswer: 108*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*m**2 + 493*m**3 - 16071 - 16065 + 32136 wrt m.\nAnswer: 2958","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/87282 and -77\/468.\nAnswer: 174564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 16 - 11)*(0 + q - 1 + 2)*(-1 - 2 + 4).\nAnswer: -46*q - 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*f - 170*f - 136*f + 2860 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vasdosjvsaaj. Give prob of picking 2 s and 1 o.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.81474ml?\nAnswer: 0.00381474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78477?\nAnswer: 3, 7, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.5869 (b) 0.16 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78352037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t\/(t\/(t*(t**(-1\/10)*t)\/t)))\/((t*t\/(t*t\/(t*t**(-7))))\/t**(5\/4)) assuming t is positive.\nAnswer: t**(123\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -485, -1137, -2141, -3551, -5421, -7805, -10757?\nAnswer: -14331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2. Let k = -3.657 + -0.343. What is the closest to 1\/2 in k, -0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h + 3*h - 3*h**2 + 0*h + 1 + h**3 + 0*h**2. Let r = 19 + -4. Suppose 0 = -4*k + r + 1. Determine f(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 32520.\nAnswer: 7\/6504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -6)\/(6\/(1*-42)). Suppose v*k - 6 = 47*k. What is the highest common factor of k and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a litre in millilitres?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(144))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-125)\/(5000\/(-2640)) - 96.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 118, 124, 130, 136, 142, 148?\n\"Answer: 6*o + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 72*j**2 + 4*j - 3. Suppose 3*g - p = -0 + 4, p - 12 = -5*g. Is h(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -4 - 19 - 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 102*j**2 - 790*j + 89982. What is a(101)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlltntatnnxnlnln. What is prob of sequence xj?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2. Let t be (-1*(-1 + 2))\/(-1). Let r(n) = 5*n + 7. Let g(c) = -c - 1. Let f(q) = t*r(q) + 4*g(q). Give -3*a(h) + 2*f(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001 (base 2) in base 13?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000068185868 rounded to seven dps?\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5*w - 264, -3*w + 364 = 4*g + 68. Let y = 129 - g. Calculate the remainder when y is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*f = -1242, s + 8 - 428 = 4*f. Is 35 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*2 + (15 - -2). Let o = c + -13. Let p be 0\/(-1*2) + 10. Solve -3*t - 13 = o*g, t - 3*g = 2*g - p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.82 from -0.4.\nAnswer: -1.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15778860?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*w**3 - 56*w**5 + 17*w**5 + 332*w**2 + 22*w**5 + 2*w**6 + 17*w**5 wrt w.\nAnswer: 240*w**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-2) - (-1029)\/441)*12\/(-16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/k**(-2\/9)))\/(k\/k**6))**(-4\/13) assuming k is positive.\nAnswer: k**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**4 + 3*x**4 - 16*x**2 + 1269 - 1257. Let s(b) = -9*b**4 + b**3 + 17*b**2 - b - 13. Let c(f) = -5*l(f) - 4*s(f). Determine n so that c(n) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let -10*i**4 + 15*i**3 + 5230*i**2 - 20715*i + 15480 = 0. What is i?\nAnswer: -24, 1, 3, 43\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 22127833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 10. Let c = 28 + x. Calculate the highest common divisor of 21 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**5\/15 + 2906*a**4\/15 + 926*a**3\/3 - 37948*a**2\/3 - 241552*a\/5 - 104832\/5 = 0. What is a?\nAnswer: -6, -4, -1\/2, 9, 728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*p + 1 = -80*p + 2*v, 5*p + 3*v - 34 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/101077756?\nAnswer: -1\/101077756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 652, 1228, 1842, 2494?\nAnswer: 3184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**4 - 2*o**3 - 103*o**2 + 25*o**2 - 3*o**3 wrt o?\nAnswer: -24*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 236, 484, 744, 1016?\nAnswer: 1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/2199815 + -12761231\/2534186880. Find the common denominator of -85\/288 and f.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -12*d**2. Let y = -100 + 102. Let j(i) = 40 - 4*i**y - 40. What is q(j(p))?\nAnswer: -192*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3422, 3478, 3570, 3698?\n\"Answer: 18*h**2 + 2*h + 3402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 21.5?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 2*l + 10 = 4*u, -2*u - 2 = -l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 41*i**2 - 80*i + 80. Let x be f(39). Solve -p = 3, 5*u - x*p = 4 - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h**3 - 73115*h**2 + 2*h - 2226296?\nAnswer: -6*h**2 - 146230*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3113492120308 + 13.\nAnswer: 3113492120321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -e4c (base 15) to base 6\nAnswer: -22530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 2, m: 4, e: 2, y: 1, j: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 90\/24 - (-6)\/(-8). Suppose 77 + 130 = q*z. Calculate the highest common divisor of z and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 + 17*l**2 - 9*l**2 - 10*l**2 + 12*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -13*y**2 - 2. Let c be 130*((-6965)\/350 - -20) + 11*-1. Suppose 5*f = j - 94, 0*j + 4*j - 393 = 3*f. Let p(w) = 638*w**2 + 99. Give c*p(n) + j*v(n).\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 5*q**2 - 3*q - 2. Let k be l(4). Suppose k*g + 3*g + 51 = 2*s, 4*s - 89 = -3*g. What is the remainder when 44 is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 24333?\nAnswer: -24334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 20. Let s = 6 + q. Let m = 0.8 - 4.8. Which is the smallest value? (a) s (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 3:32 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3525 and 1944240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 3342510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 169, 167, 165?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/14)\/((-234)\/22932).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -12*x - 9. Let b(v) = v - 31. Let t be b(-8). Let k = t + 40. Let p(u) = u + 1. Give k*a(w) + 9*p(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -224203.9 plus -6.06764?\nAnswer: -224209.96764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q + 26. What is the common denominator of (8 + 1104\/(-115))*(-15)\/206 and q?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-18)\/w**(1\/52))\/(w**(-20)\/(w**(10\/3)\/w)) assuming w is positive.\nAnswer: w**(673\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 6*t = -33. Let r = -1 - -3. Sort t, -5, r in decreasing order.\nAnswer: t, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxv when three letters picked without replacement from zhvvhuxvxgzg.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b**2 + 85*b. Let j(q) be the second derivative of -q**3\/6 + 14*q - 9. What is j(l(h))?\nAnswer: -6*h**2 - 85*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*t**2 - 4*t**2 + 3*t**2)*(-5*t + t + 3*t) + (-5*t**2 + 3*t**2 + t**2)*(-4 + 4 - 2*t))*(71 - 42*t - 71).\nAnswer: -126*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 4)*-1 + (-3)\/(-1). Suppose 0 = -2*a - 3*z - 3, -a + 5*a - 4*z = -16. Put 0, a, -5, q in increasing order.\nAnswer: -5, a, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/80622 and 37\/189.\nAnswer: 564354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 4 + -4 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2632*m**4 + 23*m**3 + 205679*m.\nAnswer: -31584*m**2 + 138*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -798255 divided by -29565.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 8*z + 13848 = 0. Let r(t) = t - z + 1725 + 0*t. Determine r(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/6 and 44\/2841995.\nAnswer: 17051970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/14*(3*2\/15 + 1496\/(-2040))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 - 30*a**3 - 200*a**2.\nAnswer: 5*a**2*(a - 10)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j + 15. Let s(o) = -4*o + 29. Determine 3*s(u) - 5*x(u).\nAnswer: -2*u + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2893613 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 55 = 5*l, -23*p + 26*p + 5*l = 45. Solve -3*r + 17 = -4*g + 15, -p*g - 10 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -3)*(9\/12)\/3. What is the nearest to o in -2, 0.2, -4, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/(j\/(j*((j**(1\/10)\/j)\/j)\/j)))\/j**4*(j**(1\/3))**35)**(1\/16) assuming j is positive.\nAnswer: j**(233\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -20. Solve p*y + 2 = 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 17. Suppose p = -5*a + 6*p + t, -4*a - 4*p + 12 = 0. Suppose 0 - 16 = -4*m. What is the remainder when m is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*z + 2 = 41*z. Let w be -8 - -35 - (-1)\/z. Let r = -25 + w. Sort r, 2, 0.\nAnswer: 0, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 6 - 1)*(2 - 3 + 0)*(1 + 4*k - 1)*((-1 - 1 - 2)*(-2*k**2 - k**2 - k**2) + 2 + 2*k**2 - 2) to t*k + q*k**2 + l*k**3 + p and give l.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = q + 19*q. Let f(i) be the third derivative of 1\/90*i**5 - 1\/9*i**4 + 10*i**2 + 1\/3*i**3 + 0*i + q. Factor f(w).\nAnswer: 2*(w - 3)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26930 divided by 5386.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (2 + -1)) + -2 - 12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/4 + 9593*t**2\/2 + 115143*t\/4 + 43182.\nAnswer: -(t - 19192)*(t + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 7*r - 3. Let k be b(32). Let d = k + -1017. What is d rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 + -70. Let g be (6 + -5)*(0 + d). Suppose -74 - 151 = -4*m + 3*w, m + g*w = 70. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-50)\/30)\/(15\/(-9)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 491974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*n*o**2 - 196*n*o - 37*n + 2*o**2 + o + 85 wrt o?\nAnswer: -10*n*o - 196*n + 4*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2053 + -2053.25. What is the nearest to -0.1 in -0.04, 4, d?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2101102110 (base 3) to base 16\nAnswer: b775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.152 and 0.0113?\nAnswer: 0.1407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-26 - (6 - 3)) - -10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, 29\/3, -4 in decreasing order.\nAnswer: 29\/3, 5, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.64228 rounded to two dps?\nAnswer: 46.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 22 = -322. Calculate the remainder when o is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -9\/4*n**4 + 0*n**2 - 1\/5*n**5 + 4 - 49\/3*n**3 + n. Find the third derivative of l(s) wrt s.\nAnswer: -24*s - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6 + 14*q + 4 - 2. Let t(n) = -1 - 2*n - 3 - 3*n + 1. Suppose -2*d - 3*l = l + 16, 3*l = -d - 10. What is d*m(f) - 11*t(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 6:58 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 2*u**2 + 2*u + 1. Suppose 2*h - 2 = -90. What is the remainder when 3 + 5\/((-10)\/h) is divided by o(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37495125.\nAnswer: 3, 5, 33329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16986 - 16977. Solve -d*c + 8*c + 5 = u, -3*u - c = -7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13206 and 282782.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 + 2*s**3 + 2 - 13*s + 10*s**2 + 3*s**3 - 6*s**3. Let v be w(13). Factor 0*c**v + 0 + 1\/3*c**5 - 2\/3*c**4 + 0*c**3 + 0*c.\nAnswer: c**4*(c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2570*m**2 - m**3 - 2570*m**2 + 3*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*p - 3*b = -3, 5*b = 4*p + 73. Let k be (-7)\/((-105)\/4)*p\/(-8). Suppose 2\/5*i**3 - k*i**4 - 2\/5*i + 0 + 2\/5*i**2 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (178020\/161)\/(-45)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 1. Let y be h(2). Find the second derivative of -3*j - 2*j - 3*j**3 + j**3 - y*j**3 wrt j.\nAnswer: -30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 884 = -2*c, 17*v - 1760 = 21*v - 2*c. Which is smaller: -437 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0*s + 3*s)*(3 + 0 - 5) - 20*s - 6*s + 5*s.\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 29*f**2 - f + 2. Calculate the smallest common multiple of u(1) and 354.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -v + 5*w, -v + 3*w + 22 = -6*v. Let l be (v\/3)\/((-4)\/18). Let h be (l\/1)\/(-3) - -4. Solve 0*b = h*b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**4 + 1221*t**3 + 2097*t**2 wrt t?\nAnswer: -48*t + 7326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -58641, 1, -2, 25 in ascending order.\nAnswer: -58641, -2, 1, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**(-49))**10 assuming b is positive.\nAnswer: b**490","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33435 and -75?\nAnswer: -2507625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**1)\/j)**(1\/17)\/(j**4*j**(2\/7)*j) assuming j is positive.\nAnswer: j**(-636\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 44.13441ml?\nAnswer: 0.04413441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -87 + 99. Let m(y) = -y**3 + 3*y. Give m(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 3513\/4, -0.115?\nAnswer: 3513\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5677404*a**4*z + 13*a**2 - 123*a*z - 54*z wrt a?\nAnswer: -136257696*a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -192 - -199. Suppose -w*y + 441 = 14*y. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 - 5*z**2 - 4*z**2 + (-z**2 + 3*z - 3*z)*(-2 - 4 + 5) + (0*z + 3*z + 2*z)*(2*z - z - 5*z).\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 595*p - 163058. Give f(274).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 619\/5 or 124?\nAnswer: 619\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 + 413\/6. Let c = 30 - 27. What is the second smallest value in r, c, -4\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 16 = -26041*k + 26039*k, 0 = -2*y - 3*k - 27 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -619a7 (base 12) to base 3.\nAnswer: -20110222201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 852840622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 0.06 (b) 50 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(68)\/(sqrt(16)\/sqrt(4)) + -3)**2.\nAnswer: -4*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 25\/5)\/(3\/2). Let s be h\/(-3) - ((-448)\/30 - 1). Which is bigger: 18 or s?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -298 - -24877897?\nAnswer: 24877599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a**2 - a + a - 28*a**2 - 7*a**2 + 8*a**2.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -3*l**2 + 0*l**3 + 0 + 1\/90*l**5 + 0*l**4 + 0*l + 1\/360*l**6. Suppose h(n) = 0. Calculate n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 + j - 32. What is v(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4830802.2ns to days.\nAnswer: 0.0000000559120625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-234)*9\/5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**4\/24 - 2*t**2. Let l = -5 - -7. Let i(k) = 6*k**2 - 3*k**l - k**2. What is i(f(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 x, and 1 b when three letters picked without replacement from bxxjssjjsbjj.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 10:34 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 1. Which is smaller: v or 12?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 14*r**2 + 167*r - 426. Determine q(4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 1. Let n(f) = 3*f - 6. Let k(g) = n(g) - 6*q(g). Let a(w) be the third derivative of 0*w**3 + 0 - w**2 + 0*w + 1\/12*w**4. Calculate k(a(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -59*p**3 + 1432466*p**2 - 121395*p.\nAnswer: -p*(p - 24279)*(59*p - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2917278*y - 11669115. What is d(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-229 + 204)\/((-21)\/6 + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03 - 0.37. Let s = 2054 + -2056. Sort 4\/3, b, 0, s in descending order.\nAnswer: 4\/3, 0, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 614.731 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6094 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from oho.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 168 + -253. Let x = m + 84.99999839. Round x to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s + 1. Let z be u(1). Suppose 2*x = z*x + 3*r + 6, -4*x - 3*r = 6. Let v(d) = d**2 + 3*d + 3. Let o be v(-2). Solve t = -x + o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 3*g - 4. Let w be x(-3). What is the tens digit of 75 + w\/(-20)*0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvivgggvvvtvuvgv. Give prob of sequence ugv.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -4, -21, -70, -163, -312, -529, -826?\nAnswer: -1215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -12*m + 120. Let v be l(11). Let h(i) = -i**3 + 7*i**2 - 4. Let q be h(7). What are the prime factors of 354\/q*(64\/v)\/8?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 9\/35*r**5 - 4\/49*r**7 - 2\/21*r**4 + 1\/21*r**6 + 0 - 2\/7*r**3 - 1\/7*r**2 + 4*r. Suppose a(m) = 0. What is m?\nAnswer: -1, -1\/3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -3. Suppose -n*j + 32 = j. Suppose -2*s - 5 = 3*m, -5*m + 6 = 31. What is the remainder when j is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**(-44)\/((c\/(c\/c**(-2\/19)))\/(c**(2\/7)\/c))*(c**2)**(-11\/4)\/(c**(-1\/6)*c**(1\/2)) assuming c is positive.\nAnswer: c**(-5141\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*l - 22127 = -26417 for l.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1331330 and 73\/37657620?\nAnswer: 263603340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**5\/9 - 85810*i**4\/9 - 916330556*i**3\/9 + 87803592368*i**2\/9 - 256995176000*i\/9 + 170108000000\/9 = 0.\nAnswer: -21500, 1, 2, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a - 31*a + 56 = 0. Calculate the smallest common multiple of a and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22081425 is divided by 3680234?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4121, -1, -5, -2, 1 in descending order.\nAnswer: 1, -1, -2, -5, -4121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97 - 11 + 5)*(-3 - 4 + 5)*(-2*d + d - d).\nAnswer: 364*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xp when two letters picked without replacement from {p: 6, x: 5, l: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*z**3 - 41*z**2 + 7*z**3 + 12*z**3 - 5*z**3 wrt z?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104*r**3 + 4*r**2 - 13*r wrt r?\nAnswer: 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.4. Let j be 0\/(-1) + 2050\/(-30). Let n = j + 69. Sort g, 0.1, n in descending order.\nAnswer: n, g, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.268*267570.\nAnswer: -71708.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25555 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = 1015*y - 1001*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -30*x + 23. Let k(a) = 15*a - 11. Suppose -3*i - 4 = -1, 4*w - 3*i + 17 = 0. Let b(p) = w*k(p) - 3*d(p). What is the units digit of b(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)*-3 + (1 + sqrt(28))**2.\nAnswer: -23*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2473 divided by 1480\nAnswer: 2473\/1480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 28*k**2 + 16*k - 359. Is l(42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 + 4.42. Let b = -4.2 + f. Let c = 0 - -1. Sort c, -2, b in descending order.\nAnswer: c, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*t - 24 - 36. Solve -16 = -t*r + 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140\/3 + 47. Let a(z) be the first derivative of 0*z + 0*z**2 - 2 + i*z**3. Let d(q) = q. Give d(a(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -156\nAnswer: -1\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16044 = -6*o - 642. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 71320 + -4?\nAnswer: 71314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - 2*n**3 - n**3)*(n - 2 + 2)*(2 - 22 - 1).\nAnswer: 21*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 8 + 3 = 0. Let j be (-7)\/(-28) - m\/(-4). Suppose 5*o - 6 - 19 = j. Solve 0 = g + 3*a + 3, -5*a - o = -g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 135*c - 2873. Let k be l(21). Which is smaller: -328 or k?\nAnswer: -328","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 10. Let p be y(11). Let f = 23 - p. Suppose -f*u - 5060567 = -860567. What is u rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*x + 10, -2*y = 4*x - 9*x - 10. Suppose -y*o = -4*u - 97, -60 = -o - 2*o + 3*u. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2079.801 + 1850.9801. Let o = -229.3 - z. Round o to two decimal places.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21002220021222 + -11011?\nAnswer: 21002220010211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2395*j - 26349. Calculate i(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -234*d + 989 with respect to d.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5659 - 875 = -299*x for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + -29?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -540940 divided by -2924?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c + 3. Let k(j) = 5*j - 4. Let d(i) = 3*b(i) + 2*k(i). Let y(w) = -28*w + 12. Let u(q) = 12*d(q) - y(q). Let l(v) = -21*v**2. Give l(u(x)).\nAnswer: -336*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -2, 3, 0.01, 29, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*t - 74830 = 76*t - y, 2*t - y = 74830. What are the prime factors of t?\nAnswer: 5, 7, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 4 = 13*f - 3*t + 6, f + 7*t = -2*t + 7*t + 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 0.1 (c) -0.02 (d) -2 (e) 4\/247 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5555 - 5558. Suppose -872 = -4*t - 4*o, -840 = -4*t - 0*o + 4*o. List the prime factors of (t\/s)\/(-1) + (-38)\/(-57).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*b - 83, -3*d - 61 = -2*b + 4*b. Let t = 21 + d. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -91\/3 (c) -1.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 403721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cuucuc. Give prob of picking 2 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/13552 and -81\/74536.\nAnswer: 149072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27494815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + 2*k + 3. Let v be q(-1). Suppose 5 = 2*c + 3*n, v*c = 6*c - 3*n. What is the derivative of 2 + 1 - c - 28*h**2 wrt h?\nAnswer: -56*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1024744 and 1171136.\nAnswer: 8197952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-12\/11))**(-7)*(m\/(m**(-2)*m)*m)\/(m**28*m) assuming m is positive.\nAnswer: m**(-279\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 0, -13, 4.\nAnswer: -26, -13, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((-1*sqrt(80)\/sqrt(4) - -2*(sqrt(20) - sqrt(320))) + (4*-1*sqrt(30))\/(6*(-2*sqrt(6) + sqrt(6))))*-6)**2.\nAnswer: 32000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -26\/17, -1, 3, -2\/11 in ascending order.\nAnswer: -26\/17, -1, -2\/11, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1467098929\/2660 + -551541. Find the common denominator of r and -65\/228.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4869, 9529, 13761, 17349, 20077, 21729?\nAnswer: 22089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -18 + 2. Suppose -s*y + 4*x = 11 + 1, -5*y = 4*x - 30. Calculate the highest common factor of y and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 1\/9, 4, 1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**5 + 674*c**4 + 133318*c**3 + 6392136*c**2 + 7465617*c - 3055587138 = 0.\nAnswer: -303, -43, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 13555714 = -15*d - 2670219. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than 6\/120775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -557*c + 6. Let d(v) = -11135*v + 119. Determine -6*d(m) + 119*o(m).\nAnswer: 527*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5087 - -4925.24. Round g to zero dps.\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209875 is divided by 208.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -37) + 41 - 128\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 3*c - 4. Suppose 28 = 61*s - 68*s. Determine n(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2450, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h**3 + 4*h**2 - 10*h + 6. Let k(g) = -13*g**3 - 8*g**2 + 19*g - 12. Let t(u) = -6*k(u) - 11*v(u). Give t(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40653392 divided by 1563592\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -4. Let b = 4012.9 + -4013. Put 4\/9, p, b in ascending order.\nAnswer: b, 4\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 - 2*b - 4. Let v(n) = 11*n - 13*n - 2 - 3*n**2 - 3. Determine 4*a(d) - 3*v(d).\nAnswer: d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 103309 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a**4 + 2*a**3 - 7*a**4 + 0*a - 2*a**2 - a + 5 + 0*a**4 - 2*a**4 as q*a + z*a**3 + c + t*a**4 + v*a**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1159*c**3*k**2 - 2*c**3 - 2*c**2*k**3 - 4*c**2*k + 577*c + 1 wrt k?\nAnswer: 2318*c**3 - 12*c**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121305 is divided by 206?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.4 (c) -2 (d) -1111 (e) 376\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from {a: 1, r: 2, e: 1, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -5*h**3\/6 - 3*h**2 - 195*h. Suppose 0 = 5*b + 21 - 1. Let j be l(b). Which is bigger: j or -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 8 - (-22 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24618 is divided by 586.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23889 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13184 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 99?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 66328025, 132656043, 198984061, 265312079, 331640097, 397968115?\n\"Answer: 66328018*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, d: 8, u: 7, q: 1}. What is prob of picking 1 l and 1 u?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 4. Let d be o(4). Differentiate 0 - 1 + 4*a - d - 2*a with respect to a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - 19*h + 11*h + (2*h - 3*h + 3*h)*(1 + 1 - 4) - 1 + 1 + 2*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*d + 4 - 3, 3*h = -d + 2. Let w(n) = 21*n**3 - n**2 - n + 1. Calculate the remainder when 58 is divided by w(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/8*-2*(-20)\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 659051 and 8?\nAnswer: 659043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 8. Let c(m) = -4*m**3 + m. Let i be c(1). Let r = 5 - i. Determine b(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128526.\nAnswer: 2, 3, 31, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/(-9))\/(3*(-12)\/(-270)))\/(5\/(-30))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7171 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 plus 1.06312341?\nAnswer: 357.06312341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1060\/9 - -118. What is the biggest value in 1\/2, -1\/4, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 584*w - 4. Let p(v) = 3*v**2 + 1746*v - 11. Give -17*n(z) + 6*p(z).\nAnswer: z**2 + 548*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 3*h - 28, 3662*y - 3652*y - 27 = -2*h + 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335*b = 314*b + 63. Solve -9 = -b*t - 5*y, 3*y - 13 = -4*t - 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eek when three letters picked without replacement from {j: 2, m: 1, u: 2, e: 1, b: 2, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 996 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -5, -355, -88 in decreasing order.\nAnswer: 4, 1, -5, -88, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.066 - -0.195. Let w = n + -0.361. What is the closest to w in -2, 2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/28)\/((-271)\/(-11382))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 10*q - 9. Let f(x) = 5*x - 4. Let a(g) = 6*d(g) - 13*f(g). Let z be a(0). Which is smaller: -15\/13 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15344 is divided by 2556?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 5) to base 2.\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 2*k**3\/3 - 19*k**2 - 580*k + 4518. Solve y(g) = 0.\nAnswer: -10, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(0*k - 2*k + 0*k)*(2*k - k - 2*k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o - 2*o + 4*o - 3*o - 2*o + 4*o - 2*o + o - o - o + 2*o + 0*o + (5*o - o - 2*o)*(2 + 1 - 1).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*p = -2*p - 14, 0 = -r + 4*p + 14. Let t = 428 - 190. Calculate the highest common divisor of r and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 77 = -3*b - 67, -5*b + 35 = -2*r. Let z be 1\/2 + 3\/(-2). Let d = z + 1. Solve d*i = -5*i - u - 14, 0 = -b*i + u - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**2 - 22*t + 20. Let j(i) = -2*i**2 - 15*i + 13. Let d(v) = -5*g(v) + 7*j(v). Let f be d(-7). Suppose -y - 60 = -f*y. Solve q + 4*q = y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 10*o + 101 = 0, -4*o + o - 5 + 6 = -14 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38213 + -38210. Let v = -21.4 + -2.6. Sort 5, 0.5, i, v in descending order.\nAnswer: 5, i, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 - 22*h**2 - 32*h - 338. What is o(-11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -840*m + 842*m + 2*z, -2*m - 43 = 3*z for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 765939238 and 0.014143.\nAnswer: 765939238.014143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**3\/(a\/a**7))\/(a**6\/(a**6\/a*a)))**(-33))**8 assuming a is positive.\nAnswer: a**(-2376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/11720883 and -28\/6931705.\nAnswer: 644648565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 851095\nAnswer: -1\/121585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**2 + 2045400*q + 209183058000 = 0.\nAnswer: -204540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700)*2*-2)**2 + 0 - (2 + sqrt(567) - (sqrt(14)\/sqrt(32) - sqrt(7)))**2)*-5*-3 + 1.\nAnswer: -585*sqrt(7) + 2527351\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from oooommovvomov?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 1:13 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151.9947 - 152. Round k to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**4\/3 - 112*y**3 + 3188*y**2\/3 + 7552*y + 19136\/3 = 0. What is y?\nAnswer: -92, -4, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 5241985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -151245*o**3*t - 22*o**3 + 2*o**2 - 22*o + t**4 + 3 wrt t?\nAnswer: -151245*o**3 + 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -710468 - -6?\nAnswer: -710462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 7*u + 8. Is y(-11) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 256632183182?\nAnswer: -256632183181.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000724248 rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 16. Suppose 2*t + y*w = -0*t + 12, -2*w = t - 7. Solve 5*x - t*i + 17 = i, -5*x - i = 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 28. Let i = 0.2 - 0.2. Let p = i - -3. Which is the second biggest value? (a) -2\/17 (b) p (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06267*0.03.\nAnswer: 0.0018801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 7:25 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - p - 1. Let a(f) = 16*f**2 + 17*f + 17. Suppose 5*h + 1872 = -3*h. Let i = h + 132. Calculate i*s(k) - 6*a(k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**3 + 22*j**2 + 8*j - 17. Let c be o(7). Let q = c + -84. Solve q*t + 5*p = 27, -t - 5*p = 4*t - 30 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -192*n**4 - 527 wrt n.\nAnswer: -768*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o - 2. Suppose -14*y - 125 = 1. Give c(y).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 2*i**2 - i - 1. Let d be y(2). Let h be 1\/(d*(-1)\/12). What is the third biggest value in h, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**4 - 1 - 4*b + 0*b + 2*b**3 - 3*b**2 - 3*b**2 + 3*b as s*b + n*b**3 + r*b**2 + j*b**4 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from scsccsssssc?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 1, c: 1, k: 1, v: 1}. Give prob of picking 1 y, 1 c, and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*t - 38 = t, -5*k - 3*t = -105. Suppose h = -h + k. What is the remainder when (3\/2)\/((-6)\/(-64)) is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.5 (c) -1\/6 (d) -4 (e) -416\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -110, -233, -428, -707?\nAnswer: -1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 590 - 590.594. Let c = 0.5940778 + z. What is c rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**6\/300 - s**5\/50 + s**4\/60 + s**3\/5 - 2*s**2. Determine g so that l(g) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*c + 1054 = -444*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (39\/2 - -1)\/(2\/4). Suppose 0 = -3*a - 3, -5*p - 2*a = 2*a - x. Let o = 6 - -3. Calculate the smallest common multiple of o and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 0 - (4 - 28). Suppose -9 = -4*f + q. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1, -16, 0.3545, -12?\nAnswer: 0.3545","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.9, 0.1, -40, 3\/8?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from seememezsmze.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -459 - -459.0003. Let w = m - 0.0003. Which is the closest to -112? (a) w (b) 1 (c) 0.4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34\/102 - 1*(-33)\/9. Which is the third biggest value? (a) 2\/9 (b) 3 (c) x (d) -0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 5:35 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14947, -14954, -14961, -14968, -14975?\nAnswer: -14982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1019a (base 12) in base 11?\nAnswer: -1485a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 177 = 17. Solve v = 3*b + 4*i, 103*b - 104*b + 5*i - 25 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/5, 470\/63 in decreasing order.\nAnswer: 470\/63, 3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -5*s + 22, 23 = -6235614*h + 6235619*h - 4*s for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 6. Let u be q(0). Suppose -4*s - 3*l + 114 = 0, -4*l = -29*s + 25*s + 128. What is the greatest common factor of s and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, -5, -0.2, -0.19.\nAnswer: -5, -0.2, -0.19, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + (-1 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/11*114\/(-95). Let u = r + 238\/99. Let d(m) = -m**3 + 3*m**2. Let q be d(3). Which is the closest to 2? (a) u (b) q (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20775 or 20776?\nAnswer: 20776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 12*j - 27. What is t(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 231967.9629997 + -231968. Let m = s + 0.037. Round m to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23471, 22527, 21583, 20639, 19695, 18751?\nAnswer: 17807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 6.6 (b) -0.4 (c) 11 (d) 1\/9 (e) 103 (f) -12\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154351, -154359, -154381, -154423, -154491?\nAnswer: -154591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2961855, -2961873, -2961895, -2961921?\n\"Answer: -2*p**2 - 12*p - 2961841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v**3 + v**2 + 0*v + 2*v + 12*v**3 + 2. Let d(q) = 4*q**3 + 2*q**2 + 3*q + 2. Let m = -4 - -4. Suppose m = -4*o - 3 + 11. Give o*d(b) - 3*x(b).\nAnswer: -b**3 + b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70726 - -39026. What is j rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9469 rounded to 1 decimal place?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 26*t + 45 = 22*t, 5*h = t + 75. Suppose 5*z = 3*q - 8 - 16, 0 = -2*z + 3*q - h. Sort 0, z, -1.\nAnswer: z, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13902245 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 5*r + 1912 = -3*i, 4*i + 4*r - 1916 = 0. Find the common denominator of 3\/(-8) + i\/(-112) and 107\/(-18) + (-14 - -17).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**2 - 3*x - 9. Let l(d) = 14*d**2 + 10*d + 28. Let r(m) = -10*i(m) - 3*l(m). What is the first derivative of r(q) wrt q?\nAnswer: 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 4*y**2 + 3*y + 1. Let c be m(-2). Suppose p - 5*u - 58 = -0*u, c*u + 95 = 2*p. What are the prime factors of p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4*o + 4)*(-4 + 4 - 4) + 2 - 2 - 2*o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 6:22 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -395, -13, 336, -5 in increasing order.\nAnswer: -395, -13, -5, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4\/2 + 133*t**3 + 8844*t**2 - 133*t - 17689\/2 = 0. What is t?\nAnswer: -133, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1164?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m - 17 + 3 = 0. Let d be ((-1)\/m)\/((-392)\/147). Put -2\/5, -25\/7, d, 1 in decreasing order.\nAnswer: 1, d, -2\/5, -25\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/8 - (-1 + 2). Let p = 49\/38 + -593\/342. Which is the closest to 1? (a) y (b) p (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -10*f + 212. Suppose 4*j - f*j = -580188. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*c = 80. Suppose -5*t = -65 - c. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 51*q**2. Let l(n) = 2*n - 978. Determine h(l(c)).\nAnswer: 204*c**2 - 199512*c + 48780684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 6) + 4\/(-1) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1476 divided by -6.\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -142052 + -5?\nAnswer: -142057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/5 and 46\/475?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 150 + -32. Let c = -118.00162 + q. What is c rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 899076.5 micrometers to kilometers.\nAnswer: 0.0008990765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 6\/(-4)) + 10\/(-20). Solve f*t = -3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-7))\/(9\/((-81)\/(-6)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 30 = -4*f. Suppose -h - 8 + 26 = -3*s, s - 26 = -f*h. Solve -2*r - 4 + h = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -3*d + 19, -5*d + 4*m + 41 = -0*m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/15 - 410668*b**2\/15 + 21080615104*b\/15 + 42162872896\/15 = 0. What is b?\nAnswer: -2, 102668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 24, -0.5, 3\/8, 2\/321, -1\/7, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -1 - (-4)\/10. Let r = -678\/13 + 3403\/65. Which is the nearest to l? (a) 4 (b) r (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 - 2*s**4 - s**4 - s**4 + 4 - 4 + (1 - s**3 - 1)*(2*s + 1 - 1) + s**4 - 2*s**3 + 2*s**3 - 18*s**4 + 3 - 3.\nAnswer: -22*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 4:17 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -511.3 + 507. Let n = 151.7 - 145. Let j = n - v. Put -2\/3, j, -3\/7, -0.5 in descending order.\nAnswer: j, -3\/7, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than -0.085438715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7259 less than or equal to 7305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275 and 322975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2*f - 26 = f for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 25404 = 2*n - 3*n, 0 = -3*n + 4*d + 76231. Let b = -15209 + n. Round b to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*sqrt(114)*2 - sqrt(114)) + sqrt(114) + sqrt(114))\/sqrt(96))**2.\nAnswer: 3211\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 903.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n + 10. What are the prime factors of m(-6)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11757.32614537 + 11766.22614. Let v = d - 8.9. Round v to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/27))**(-36) assuming a is positive.\nAnswer: a**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1730 divided by 5.\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 4 - (-18 + 16). What is the fourth smallest value in o, -0.2, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 10:36 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116815867?\nAnswer: 7, 1283, 13007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2. Let j be y(2). Suppose j = 4*d - 12. Suppose 3*i = 4*i - 2. What is the least common multiple of i and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + (-1)\/1)*-3. Let a(m) = 7*m - 6. Let t(y) = 25*y - 18. Let g(w) = -7*a(w) + 2*t(w). Let h(n) = -n - 5. Give d*g(p) - 4*h(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -4*c - 4*c. Do c and 32 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4.687229 seconds?\nAnswer: 4687229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*h**4\/11 + 984*h**3\/11 + 24402*h**2\/11 + 9604*h\/11.\nAnswer: 2*h*(h + 49)**2*(5*h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 7*t. Calculate l(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 + 44 - -7) + -25?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, w: 1, o: 5, c: 9}. What is prob of sequence co?\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**4\/6 - 3*v. Suppose 2*k - 2*t = -4, 2*t - 2 = k + 4. Let b(u) = -3*u + k*u + 0*u. What is b(n(x))?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 7) in base 14?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9.049 * -23\nAnswer: -208.127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 2:21 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h. Let b(z) = z. Let p(s) = -b(s) + 2*q(s). Let f = -471 - -470. Let r(o) = o**2 - 3*o + 2. Give f*r(v) - 2*p(v).\nAnswer: -v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 minus -662213?\nAnswer: 662212.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p + 0*p - 1 - 3 - 2*p**2. Let q(k) = k**3 + 14*k**2 + 12*k - 16. Let h be q(-13). Give g(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2 - (5 + -2 + -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 180060 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/(-11) - (0 - 1). Let z = 35417 - 35418. Which is the third biggest value? (a) j (b) z (c) 0 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 62.06677cm?\nAnswer: 0.0006206677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*c - 3*u, -167*c + 164*c - 4*u + 11 = 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 146 + 148. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + x**3 - x**2 - 9 - x**2 - 6*x**2 + 9*x. Suppose 4*n - 48 = -3*i + 7*i, -3*n - 2*i = -16. Let b be t(n). Is 0 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w = -9*w + 90936. Suppose -a - 2752 - w = -y, 5*y = a + 30596. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(684) + -2 + sqrt(1216))**2 - ((-1*sqrt(684) - sqrt(684)) + (sqrt(19) - 1*sqrt(76)))*-6.\nAnswer: -182*sqrt(19) + 12848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 168*h + 5*h**2 - 166*h - 16*h**2 + 0 + 0 - 2*h**2 + (2*h - 2 + 2)*(3 - 3 - 2*h) + 3*h**2 + h**2 - 2*h**2.\nAnswer: -15*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 285\/34 + -17\/2. Let r = -0.5 + 0.3. What is the third biggest value in r, 1\/4, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/859520 and -61\/127980.\nAnswer: 69621120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 - 16*g**3 + g**3 + 3 - 6*g**3 + g + 2*g**2 + 4 to f*g + c*g**2 + k + o*g**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 - 5 = 4*p. Suppose -15*r = -10*r - 45. What is the remainder when p is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((4\/22)\/1). Suppose -3*n = -3*t - 51, -4*t - 49 = -t - 5*n. Let m = y - t. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r + 0*r + 0*r + (0*r + 3*r - 2*r)*(-77 + 1 - 47) + (1 + r - 1)*(3 + 3 - 4) + 0*r - r + 3*r + 5*r - r - 5*r to d*r + s and give d.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-6\/11)*d*d)\/d**14)\/(d**(-2\/23)\/d*d**(2\/5)))**(-3\/5) assuming d is positive.\nAnswer: d**(45003\/6325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 45*q - 48.\nAnswer: 3*(q - 1)*(q + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.0647 - 362.1653. Let a = 454.297 + p. Let i = a + -83. Round i to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -1810826\nAnswer: 1810820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6505706.3 rounded to the nearest ten thousand?\nAnswer: -6510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127 + 204. Let z = c - 70. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72376*b**3*x**2 - 3*b**3 + 3*b*x**2 - 2*b + 3*x**2 - 9*x - 4 wrt b?\nAnswer: 434256*b*x**2 - 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12336 divided by -6168\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 - -62. Suppose 37 = 2*s + m, -3*m = -k*m + 25. Suppose 270 + 50 = -s*o. Round o to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*((-45)\/10 - -3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127724087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - -5. Calculate the remainder when k is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 1177*h**2 + 26*h - 22. Let s be b(3). What is the greatest common divisor of 92 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 3:22 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2. Let c(j) = -709*j - 1. What is d(c(p))?\nAnswer: -1005362*p**2 - 2836*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**4 + 1435*k**3 - 135315*k**2 + 3998825*k + 18253460 = 0. Calculate k.\nAnswer: -4, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 30. What is the tens digit of ((-9)\/j)\/((-1)\/(-423))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**3*p**3 - 22270*i**3*p**2 - 23054*i**2*p**3 - 2*i**2*p**2 - 2*i*p**2 wrt p.\nAnswer: 12*i**3 - 138324*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**2)**(-4\/5)\/(w**(-3\/4)\/w**(-1\/6)) assuming w is positive.\nAnswer: w**(-109\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206865, 413727, 620615, 827541, 1034517, 1241555, 1448667?\nAnswer: 1655865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(336) + -4*((sqrt(336) - (sqrt(336) + sqrt(336)*-1) - sqrt(336)) + sqrt(336) + sqrt(336)))*1)\/(sqrt(432)*-1 - 2*sqrt(12)))**2.\nAnswer: 343\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -20463131 smaller than -429725768\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 9:10 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + c. Let z(h) = -h**4 + 2*h**3 + 9*h**2 + 9*h. Let p(o) = 18*t(o) - 2*z(o). Determine k so that p(k) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2737932 is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5*(3 + sqrt(243)) + sqrt(243) + (sqrt(243) - (sqrt(243) - (sqrt(243) - -6*(sqrt(243) + -5)))) + -4))**2 + -5.\nAnswer: -71136*sqrt(3) + 662843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5845136?\nAnswer: 2, 11, 33211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b**2 - 10*b + 5. Let x(c) = -c**2 + 2*c - 1. Let y(p) = j(p) + 5*x(p). Let z(r) = 14*r. Determine y(z(f)).\nAnswer: 1176*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 760 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + ((2*(sqrt(1584) + -1) - sqrt(1584)) + sqrt(1584) + -3)*-6 + 5)*4)**2.\nAnswer: -152064*sqrt(11) + 3666960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 27357275*a**3 - 24401*a**2 + 24401*a + 24401. Let u(d) = 5606*d**3 - 5*d**2 + 5*d + 5. Calculate 24401*u(g) - 5*x(g).\nAnswer: 5631*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 241, 547, 975?\nAnswer: 1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5515b (base 14) to base 10.\nAnswer: 206077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*c - 34, -3*c + 0*c - 4*b = -33. Let t = c - 7. Let h be ((t\/2)\/1)\/(-1). Put -4, -2, h in descending order.\nAnswer: h, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 3\/5 (c) -0.17 (d) -443\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -0.04, 2\/13, -0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -66526.55 to the nearest 100.\nAnswer: -66500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -4*f - 2*p - 18, 0 = -2*p - 10. What is the second derivative of 4*l**f - 5*l**2 - 6*l + l wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4321 - 2160 + 5139*r - 2161 as p + u*r and give u.\nAnswer: 5139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, d: 18}. Give prob of sequence dqdd.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 5*i = -3, -3*l - 2*i - 94 = -111 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -362117 divided by -3043?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = k - 9 - 46, x = -2*k + 124. Calculate the remainder when k is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 27521835.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 280793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((3*2)\/(60\/16))\/(28\/(-1400)*340)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -1641?\nAnswer: -1644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 7:10 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537*i - 53*i = -169*i + 18524 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 49004*y**3 - 12347*y + 27. Let k(a) = 12251*a**3 - 3086*a + 6. Let p(l) = -2*d(l) + 9*k(l). What is the second derivative of p(r) wrt r?\nAnswer: 73506*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*d - 160*d = -8. What is o in 6\/7 - 2\/7*o**d + 4\/7*o = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10591646 to the power of 1\/3, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11932953 + 556387. Let c = f + -8499340. Round c to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 428 - -4242. What are the prime factors of y?\nAnswer: 2, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -37*u + 2. Let f(o) = -221*o + 12. Let n(c) = -f(c) + 6*r(c). Let s(m) = -164*m. Let i(j) = 33*j. Let h(v) = 11*i(v) + 2*s(v). Determine h(n(x)).\nAnswer: -35*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-3))\/(20\/(-54)*159\/4505*-3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/215942?\nAnswer: -1\/215942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 i when three letters picked without replacement from {i: 4, r: 6, b: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*h - 475*h - 32 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3497 less than 61653548?\nAnswer: 61657045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112000010100 (base 3) to base 2.\nAnswer: -1000011010011000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48384, 96021, 143658, 191295, 238932?\nAnswer: 286569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 68996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + p**2 + 2*p + 8. Let b be y(0). Solve -b = -3*t + 1, 4*r = t + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 484 by -242.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**2 + 30*b - 12. Let y(w) = -w**2 - 4*w + 3. Let a(i) = -m(i) - 4*y(i). What is a(-16)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**4 + 2*k + 645 - 645 - 3*k**3 + k**4 as d*k**3 + u*k + o*k**4 + f*k**2 + g and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.3, -108\/971, 0.5, 11, -3 in ascending order.\nAnswer: -3, -0.3, -108\/971, 0.5, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**4 - z**2 + z + 1. Let m(r) = -5*r**4 - 2*r**3 + 7*r**2 - 6*r - 6. Let y(q) = -m(q) - 6*s(q). What is u in y(u) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14733368 - 2*f**2 + 14733368.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-759)\/6831 + 136\/90 + (-4)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o + 3. Let h(i) = i + 1. Let r(c) = -2*c**3 - 3*c**2 - c - 2. Let x be r(-2). Suppose 2*a - 2 = x*a. What is a*t(z) + 2*h(z)?\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.8 + -1.6. Let v = -8.3 - s. Let u = v + -10. Which is the third smallest value? (a) u (b) 0.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -0.7 (b) 0.012 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2\/7 + 38898*i\/7 - 77788\/7 = 0.\nAnswer: 2, 19447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 - 20*o**3 + o**2 + 20*o.\nAnswer: -o*(o - 1)*(o + 1)*(o + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 7 = 25. Solve -3*n - c = -9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46526 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*m - 2710, 1368*m - 3*s - 2735 = 1363*m. Which is the second smallest value? (a) -1 (b) -2\/3 (c) -0.3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 60970 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27108974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03 (b) -628 (c) 5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 6*i**2 + 7*i + 4. Let m be g(7). Suppose -2*z - 61 = 5*v + z, -z = -m*v - 59. Let h = v + 16. Calculate the remainder when 3 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -229 - -207. Put -3, -1, d, 1 in decreasing order.\nAnswer: 1, -1, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22993\/10 - -2304. Let f = -2851\/5 - -580. Calculate the common denominator of f and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116663 (base 8) to base 9.\nAnswer: 61336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2126*o + 5804*o + 230*o - 3018*o + 4683*o in the form l + z*o and give z.\nAnswer: 9825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3 - 1615*a**2 - 140*a - 12.\nAnswer: -6*a - 3230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 433*l**5 - 248*l**4 - 9*l**2 - 84*l - 3.\nAnswer: 25980*l**2 - 5952*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, a: 5}. Give prob of sequence akka.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, u: 1, i: 2}. Give prob of picking 3 h and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 4. Let d = 13 - 10. Calculate the highest common divisor of q and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 4*n**2 + n + 4. Let k be t(5). Let z(j) = -j**3 - 16*j**2 - j + 1. Let s be z(k). Which is the third biggest value? (a) s (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -19*b + 52*b - 30*b + 1 + 2*b**2. Determine d(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45064, 45063, 45062, 45061, 45060?\nAnswer: 45059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from ieideidvigedeiddgdgw?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3705 by -350.\nAnswer: -741\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 4)*(7*h**2 + 19*h**2 - 9*h**2) - 51*h**2 - 251 + 251 + (-1 + 1 - h)*(-3 + 3 - 2*h) - 3 + 3 - h**2 - 4 + 4 + h**2.\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - s - 1. Let h(a) = -68*a**2 + 6*a + 4. Determine -h(z) - 6*y(z).\nAnswer: 80*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13928, 14048, 14266, 14588, 15020?\nAnswer: 15568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l. Let n be h(-2). Suppose 0 = n*b - 36. Suppose -4*r = -b - 7. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(153) - sqrt(153)*-3*-1)\/(sqrt(27)\/(-2*sqrt(3))))**2.\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7611, -5118, -969, 4836, 12297, 21414?\n\"Answer: 828*d**2 + 9*d - 8448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, x: 7}. What is prob of sequence eeee?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2071347.\nAnswer: 1\/2071347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 34. Let m be q(-12). Solve -x + 5*v - 11 - 7 = 0, v = x + m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -31*y**2 + y + 1. Let k be d(1). Let b = 16 - k. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -230, -469, -708?\n\"Answer: -239*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1436619, -1436814, -1436999, -1437168, -1437315, -1437434, -1437519, -1437564?\n\"Answer: j**3 - j**2 - 199*j - 1436420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 28c (base 16) to base 13\nAnswer: 3b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 33875 (c) 12 (d) -2 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 373866759 and 585081.\nAnswer: 373866759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 21?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -768 - -772. Let v(s) = 33*s - 127. Let f be v(r). Solve 3*l - f = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 327 - 363. What is the tens digit of 2 - -1 - u\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**5\/2 - 5*x**4\/2 - 28*x**3 + 174*x**2 - 144*x = 0.\nAnswer: -8, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -3. Let c be -19 - (174\/(-18) - (-17)\/(-969)*19). What is the third biggest value in -1, c, -0.3, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/143 and 22\/32851.\nAnswer: 361361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -753, -754, -755, -756, -757, -758?\nAnswer: -759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -2*s + 6, -g + 15*s + 12 = 12*s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -38145275 divided by -778475\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -l, -2*w = 2*l - 5*w - 5. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*y + 4*b = -311*y + 12, -4 = 4*y + 3*b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.1. Let p = 603\/10 - 103\/2. Let r = p + -9. What is the closest to -1 in 3, r, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -1.04?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3*-1)\/((-27)\/(-3726)*-23)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20922825 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -796\/11? (a) 3 (b) 2 (c) 2\/9 (d) 5 (e) 0.19 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-30)*2*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -10\/91, 0.4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a1 (base 11) in base 10?\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -4*w, 0 = w + 2*w + 5*j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 o when three letters picked without replacement from xaoyxxooooyoxxxxxx?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 153*m = 150*m, -22 = -c + 5*m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 45 - 2 + 42*x**2.\nAnswer: 42*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2363 + 2365. Let z(a) be the first derivative of -13 + 0*a - 8\/3*a**3 + 0*a**r + 14\/5*a**5 + 0*a**4. What is the third derivative of z(m) wrt m?\nAnswer: 336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**2 - 275*b + 190. Calculate the smallest common multiple of 360 and z(-91).\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1267229938 to three dps.\nAnswer: -0.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 294904, 294902, 294900, 294898?\n\"Answer: -2*s + 294906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 147 + 794. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1229705258.\nAnswer: 2, 23, 53, 59, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p + 49. Let m be x(20). What is the highest common divisor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113689339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.359 - 0.159. Which is the third biggest value? (a) d (b) 7 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8671607 is divided by 60?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 711 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 292 - 293. Which is smaller: n or 3\/97?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 4:09 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2 = 13*k, -8*k + 12*k - i - 9 = 0. Let j(p) = -23*p**3 + 6*p - 6. Determine j(k).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 279 (base 15) to base 12.\nAnswer: 3b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*g + 5*g - 13*g)*(4 - 2 + 0 + 1 + 0 + 0 + (1 + 3 - 3)*(4 + 2 - 4) - 3 + 2 - 1 - 4 + 2 + 1) in the form p + t*g and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 6, o: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -761354 (base 9) to base 7\nAnswer: -3566554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v + 3. Let r be n(4). Suppose 3*i - 3*d + d = 136, 92 = 2*i - d. Let g = i - r. Calculate the remainder when g is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, z: 5, t: 4, o: 5}. What is prob of picking 2 o and 1 t?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 + -195?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((45 - (9 + 14)) + 7) - 39\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.95 - 0.02.\nAnswer: -23.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3.84292+451924745\nAnswer: 451924748.84292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/36 + (-65)\/(-9). Let a be 2\/7 - (-3414)\/s. Suppose -5*t - 2*i = -597, -3*i = 4*t - 4*i - a. What is the greatest common factor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w - 12. Let i be h(-8). Suppose 0*d = i*d + 12. Let k(b) = -2*b**2 + 3*b + 1. Let a(v) = -v. Suppose -1 = 3*l + 2. Calculate d*a(g) + l*k(g).\nAnswer: 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -16369905*p**3 - 41262*p**2 - 41262*p - 20631. Let z(i) = 1587*i**3 + 4*i**2 + 4*i + 2. What is -6*f(o) - 61893*z(o)?\nAnswer: -4761*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*l - 20 = -95*l. Suppose -i = 5*d - l*d - 31770, -3*i + 31776 = 3*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/5)\/(p**6*p)*(p\/(p**(-2\/9)\/p*p))\/(p\/(p*p*p**(1\/2)\/p)*p))\/((p\/p**15)\/(p**4\/p))**(-29) assuming p is positive.\nAnswer: p**(-44971\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -28\/13, 1535, 0.3.\nAnswer: -4, -28\/13, 0.3, 1535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofaddoyoyaaqd. Give prob of sequence ya.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002946549 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -6*v - 2, -9*v + 8*v + 89*j = -4*v - 697 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 2 - 2 + (0*u + 0*u + 2*u)*(3 - 3 - 1) + u - 4*u + u)*(u**3 - 3*u**3 + 0*u**3).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - i - 10. Suppose -18 = -i*d - 4*k, -k - 3 = -2*k. Let y(n) = 2 + n**2 + d*n - 4 + 0*n. Calculate y(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41263*m + 41227*m + 54*m**2 - 11*m**2 + (-5*m + 3*m + 4*m)*(m + 4*m - 4*m).\nAnswer: 45*m**2 - 36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -172.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxnkvkkxnkxnk. What is prob of picking 3 x and 1 n?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2. Let o(b) = 72 - 28*b - 72. Give s(o(w)).\nAnswer: 1568*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-110950048)\/(-3) - (-2)\/(-6). Suppose -36616651 - p = 4*b. What is b rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqebhchhcqhhqhqqhbqq. What is prob of sequence qbqe?\nAnswer: 7\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-1\/4)*o**(-3\/4))**32)**(-2\/111))**(-41) assuming o is positive.\nAnswer: o**(1312\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 24 = 2*j, -81*s + 76*s + 4*j - 12 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -19535\nAnswer: -13\/19535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + (740\/74 - 41)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*j + 74 = 0. Find the second derivative of 38*l + 45*l**2 - 74*l + j*l + 63*l**2 wrt l.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 0.07, 253452, 2\/7?\nAnswer: 253452","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1600880298?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -855 (b) 2 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 100641.7.\nAnswer: 100644.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**4 + 3436*y**3 + 6920*y**2 - 27552*y = 0.\nAnswer: -4, 0, 2, 861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 32 = -k. Let i = 18 + k. Calculate the smallest common multiple of 1 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*n - 3*b, -301*b + 306*b = -3*n + 46 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -5, 3, -6 in descending order.\nAnswer: 3, -1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 12*w**3 + w. Let s(n) = 23*n**3 + 2*n. Calculate 11*o(d) - 6*s(d).\nAnswer: -6*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a. Let r(v) = 7*v - 21. Let q(k) = r(k) - 3*w(k). Let n be q(3). Is n smaller than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + ((-4 + -2 + sqrt(208) + sqrt(208))*1)**2 + -2.\nAnswer: -96*sqrt(13) + 873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 393922*b*z + 499*b + 70527*z - 227 wrt b.\nAnswer: 393922*z + 499","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*m - 16*m - 17*m - 11*m - m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 113?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 1054646.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1 - 17*u + 1. Let h = 24 + -20. Suppose 4 = -y + 4*v, -3*v + h = -y - v. Let p(z) = 6*z. Determine y*w(k) - 11*p(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 - (-2 - (-21)\/(-15))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**3 - 305538*n**2 - 8554332*n - 15886520 = 0.\nAnswer: -305510, -26, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 1629 - 787 + 2*r - 842. Let c be 2\/(-7) - (-132)\/21. Let v(i) = c*i - i + i. Determine v(b(d)).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1887 by 69.\nAnswer: 629\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**5\/2 - 18*x**4 + 54*x**3 - 48*x**2.\nAnswer: 3*x**2*(x - 8)*(x - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4596 (base 16) to base 10\nAnswer: 17814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = d + d - 3, d - 2*a = 5. Suppose 0 = 2*x - 3*x - 4*l + 21, -4*l + 1 = -3*x. Suppose -d*z + x = 2*z. What is the remainder when z is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 94*o**3 + 57*o - 202. Is f(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2327 divided by 11611\nAnswer: 2327\/11611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 11*s - 63. Let k be u(6). Suppose -4*o - 4*h - 48 = -0*o, k*h = -4*o - 51. Which is the nearest to 2\/3? (a) 2\/3 (b) o (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-9) + -2)*-3. Let t = i + 0. Solve t*l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 + l**2 + l. Let s be v(-1). Let u(x) = -8*x - 5715*x**2 + 2857*x**2 + 2859*x**2 - 9. Let w(q) = -2*q - 2. Calculate s*u(k) - 9*w(k).\nAnswer: 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaaaaaiaaaaaiiaaaaa. What is prob of sequence ai?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-2*t**2 - 4 + 4) + 64*t**2 - 42*t**2 + 78*t**2 + (0*t + 3*t - 4*t)*(-3*t + t + 0*t).\nAnswer: 100*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**3 - 8*i**3 - i**3 + i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5344482 * -0.5\nAnswer: -2672241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 173753 and -27?\nAnswer: 173780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23621 - 12*b + 23621 - 6*b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 5. Let m be b(-3). Let i be 58\/(0\/(-4) - m). Suppose 7 + 18 = 5*y, 2*s + y - i = 0. What is the greatest common divisor of s and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, q: 4, x: 1, t: 7, s: 1}. What is prob of sequence ql?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cavbq. Give prob of picking 1 c, 1 q, and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -423 in descending order.\nAnswer: 3, 2, -423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 616 and 36?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 673200 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 5\/7 (c) -2 (d) -577 (e) -996\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 50*p**2 + 149*p - 220. Let z be o(46). Are 2\/5 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 62 - -8 - (30 - (6 + 22))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 = -9. Let s(j) = 7*j + j**2 - j - j**4 - 5*j + j**3. Let x(g) = -12*g**4 + 12*g**3 + 10*g**2 + 10*g. Let w(u) = p*x(u) - 10*s(u). Factor w(z).\nAnswer: -2*z**3*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-1 - ((8 - 15 - 1) + -2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41884 is divided by 181.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1015*q + 17083 = -21487 for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*k - 336 = 62*k. Suppose 19*b - k*b = -1053. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 6*c**2 - 5*c + 3. Let p be z(6). Let i be (2 + -1)*(-12 - p). Solve 5*n + 25 = -0*n + 3*f, 3*n = f - i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 5:40 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.436 - -37.564. What is the closest to 0.1 in 3, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a microsecond in nanoseconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -961, -960, -959, -958?\n\"Answer: g - 962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-2))\/(2 + -1). Suppose 25*p - 3152 - 2273 = m. Calculate the greatest common divisor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y**3 - y**3 + y - 2*y**3 + y**3 wrt y?\nAnswer: -30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3))**30*m**(-1\/15)\/(((m*m\/m**(3\/8))\/m)\/m) assuming m is positive.\nAnswer: m**(2437\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 1:55 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2*-1380968\nAnswer: 2761936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 917674794?\nAnswer: 2, 3, 2531, 20143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08865 + -4?\nAnswer: -4.08865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 9:03 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -37*g. Let p(m) = -1005*m. Let a(t) = 5*p(t) - 134*r(t). Let u(y) = -5*y. Calculate u(a(c)).\nAnswer: 335*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*1*(sqrt(72)*-1 + sqrt(72) - sqrt(72) - sqrt(72)) - -1*(sqrt(72)*2 + 2))**2 + 3 + 0.\nAnswer: 144*sqrt(2) + 2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 304 = -4*q, 0*i - 212 = 3*i - 5*q. Let y be i\/6*(-630)\/(-7). Round y to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 26*i**2 - 120*i**2 + 91*i**2. Let s(r) = -1361*r. What is s(t(n))?\nAnswer: 4083*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**2 + 11*o - 9*o - o**2)*(-11*o + 5*o - o) in the form j*o**3 + m + y*o + s*o**2 and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 94540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14797714*d**2 - d + 2398859 wrt d?\nAnswer: 29595428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/7)*b)**(-6\/29))**(-20) assuming b is positive.\nAnswer: b**(600\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(-12) - 30\/(-40). Suppose b*y + 18 = -7*y. What is the closest to -0.1 in -0.5, y, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2008)\/104 + 21)\/(16\/832)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*y + 3*y - 11*y + (4 - 2 - 1)*((3 + 2 + 0)*(-7*y + 0*y + 4*y) + 3*y - 5*y + 3*y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 4*m + 5, -2*m + 55 = -4*f + 65 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/2)\/(-9)*(-1)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**2*i**4 - 152965*g**2*i**3 + 300*g**2 - g*i + 39*i**2 + 1 wrt i?\nAnswer: 72*g**2*i - 917790*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5885 by -1177.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*a - 32 = -4*o, 3*a + 3 = 5*o. Suppose -4*z = -4*r + a, -5 = 5*r + 4*z + z. Suppose 3*v - 3 = -r. Sort -0.4, 0.1, v in ascending order.\nAnswer: -0.4, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 3*w**2 - 3*w + 11. Let y be t(4). Let m be y\/(-2)*(-3 - -13). Let z = m - -74. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2572 = 74*j - 1171 + 375 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4342\/78 - (-4 - (-66)\/18). Suppose 2*q = -0*q + 14. What is the highest common factor of j and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2114273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 25. Let s = 5 + w. Solve 0 = 5*q - s*q + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -g - 2*g. Let b(h) = 2 - 1 - 1 - h - 6*h**2. Let u(t) = -t**2 + t. Let m(z) = g*b(z) + 5*u(z). Find the second derivative of m(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-21) + 45804\/(-14). Let b = 15377 + -9818. Let h = b + y. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 3*y - 108, 508*j = 507*j + 3*y - 44. Put 0, j, -3 in descending order.\nAnswer: 0, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 times -0.8?\nAnswer: -34.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -38761000 rounded to the nearest 100000?\nAnswer: -38800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 8*n**2 + 4*n - 19. What is q(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20770413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 375*i**2. Let s(b) = -25*b**2. What is s(m(r))?\nAnswer: -3515625*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {t: 3, r: 15}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**3 + 7*o**2 - 9*o + 51. Let h(q) = -3*q**3 - 3*q**2 + 5*q - 26. Let n(f) = -4*a(f) - 7*h(f). Is n(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24348969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**0*c*c**(-6\/5) assuming c is positive.\nAnswer: c**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 416, 860, 1324, 1814, 2336, 2896, 3500?\nAnswer: 4154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**3 + 0*c + 0*c**6 + 0 + 0*c**5 + 7*c**2 + 1\/35*c**7 + 0*c**4. What is the derivative of p(x) wrt x?\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -7. Suppose 26330 = 21*b - i*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 2288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4958640 a multiple of 388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18, 25, 32, 39, 46?\n\"Answer: 7*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 3510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 941?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3547, -7096, -10645, -14194, -17743, -21292?\nAnswer: -24841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 28. Let h be v(26). Suppose h*u + 42 - 50 = 0. Solve 5*o - 4*p = 23, -2*o = -2*p - 14 + u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -16*r - 5. Let x be b(-5). Suppose -4*d + x = -49. Suppose -d = -y - 9. Calculate the remainder when y is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -83*g - 221. Determine m(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - 2*(2*sqrt(228) + sqrt(228)) - sqrt(228))\/(sqrt(108) + sqrt(108)*1 + sqrt(108) + sqrt(108)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50554, -50556, -50558, -50560, -50562, -50564?\nAnswer: -50566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -134 - -94. Let p be (-16)\/v - (-52)\/20. Factor 2\/5*f**p - 4\/5*f**2 + 4\/5 - 2\/5*f.\nAnswer: 2*(f - 2)*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 1553*o + 3099. Give u(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/15*(-10)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 46 = -11. Let g be (-14)\/z + (-932)\/(-5). Let w = g + -59. Is 33 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 8*q + 16. Calculate d(12).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98 - 107. Let o = 44914.0046 - 44923. Let s = o - r. What is s rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 3, -4, -23, -154 in increasing order.\nAnswer: -154, -23, -4, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43056 and 9660?\nAnswer: 1506960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -175*f - 7356 + 12606 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7198 and 4661?\nAnswer: 568642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r**3 - 4*r**2 + 11*r**3 + 4*r**2.\nAnswer: 29*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -2\/67, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20028869 is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8341, 8286, 8231?\n\"Answer: -55*n + 8396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/77*132\/(-54).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, g: 3, y: 3}. Give prob of picking 1 f and 2 y.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14335 is divided by 180.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -5 - (-198)\/18. Solve -4*b = -r*b + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*n = 92*n - 42*n + 2652 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - -1) + 5 + 6 + (11 - 21)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2077859 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8828, -8832, -8836?\nAnswer: -8840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/3*(-24)\/112. Let o = 20534.9 - 20535. Let d = 24\/7 - 89\/28. What is the second smallest value in o, 0, d, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64996, 259484, 583452, 1036894, 1619804, 2332176, 3174004?\nAnswer: 4145282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 227 - 233. Let z = 163 + -163.07. Put z, 3, u in decreasing order.\nAnswer: 3, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, y: 1, k: 1, x: 1, d: 2, q: 1}. Give prob of picking 2 d and 1 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*i**2 - 30*i**3 + 29*i**3 - 25*i**2)*(2 + 1 - 4).\nAnswer: i**3 + 36*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2055+10.6\nAnswer: 10.8055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 10:25 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 150\/42 + (2 - 5). Which is the nearest to 2\/11? (a) 0.5 (b) -2\/13 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 3*h + 8, 2*f + 1603*h - 1595*h - 22 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.76 + -150681.8.\nAnswer: -150683.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 324 - 190. Is 21 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 2*z + 70, -5*z + 77983 = 2*v + 78100 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2117?\nAnswer: 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.094 + 102.694. What is o rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 0.1293?\nAnswer: -0.1293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 516319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150b (base 14) to base 10.\nAnswer: -3735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88812 divided by 4?\nAnswer: 22203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4)*(5 - 5). Let q = 3 - p. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 238 - 2?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + k**2 - 4*k + 4 + 2*k. Let b be y(5). What is the greatest common factor of 168 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 4:46 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 61 + 120*k + 38 to the form n + q*k and give q.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 620*d**2 - 540.\nAnswer: 1240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ib when two letters picked without replacement from {b: 7, i: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 777 times -3.91\nAnswer: -3038.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*s - 12 + 42 = 0, 0 = 3*o - 3*s - 60. Round o to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p**2 + 18*p - 58. Is v(-16) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.422 + -4.882. What is l rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1201 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -15?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*g + 5 - 1, 0 = -4*g + 3*m + 1. Suppose 0 = -5*l, 0*v - 3*v + 6 = 4*l. Solve p = v - g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in -10\/9, 1, -0.2, -2\/81, 0?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q + 40. Let r be z(-18). Calculate the highest common factor of r and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*((s\/(s*((s\/s**(-3\/14))\/s)\/s*s)*s)\/s)\/s)\/s**(4\/11))\/(s**13\/s**1) assuming s is positive.\nAnswer: s**(-1937\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2572*h - 293. Let y be o(12). Suppose -5*l = 3*s - 120083, 5*s - y = -3*l + 41466. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoccccoaocccccacecca. What is prob of picking 1 e and 2 o?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*v = 50*v - 5. Calculate the common denominator of 3555\/90 + v*1 and 17\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wne when three letters picked without replacement from {o: 1, k: 2, w: 1, n: 1, e: 5}.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*z = 296, -12*u + 2*z = -7*u - 1414. Let s = 288 - u. Solve -2*b - y + s*y = -2, -y + 8 = -5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 152*y**2 + 233*y + 35455. Calculate a(-152).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29503445?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/396 and -35\/24732.\nAnswer: 272052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38515*k*n**3 + 65*k*n - 3*n**3 + 2528*n**2 - 19*n + 2 with respect to k.\nAnswer: 38515*n**3 + 65*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgqzgvrgzzvvc. Give prob of sequence vrgz.\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.4 (b) -0.68 (c) 0.3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (185*y - 64*y + 178*y)*(3 - 1 - 5)*(-2 - 3 + 4).\nAnswer: 897*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -68*d + 72*d. Let z be (11 - 10)\/(49\/d). What is the third biggest value in 0.5, 29\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118679 and 17237.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -5*z + 3, 2*r + z - 5*z = -8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 5*n**2 - 3*n - 13. Let r(v) = -2*v**3 - 4*v**2 - 2 + 3*v + v**3 + 14. Let u(f) = -5*p(f) - 6*r(f). Is u(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x**2 + 3. Let j(p) = -p**2 + 1. Let q(y) = 3*j(y) - m(y). Factor q(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 4*z + z)*(-5 - 1 + 3)*(z**2 - z**2 + 2*z**2).\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 640, 633, 616, 583, 528?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 i, and 1 n when three letters picked without replacement from {s: 7, n: 4, i: 7}?\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/17))\/b)**16\/(b**(1\/8)\/((b\/(b**(2\/7)*b))\/b)) assuming b is positive.\nAnswer: b**(-447\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - -6 - (3 - 1) - ((191 - 69) + -214)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3915175104.\nAnswer: 2, 3, 373, 18223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 461209\/12 + -38437. What is the common denominator of m and 0 + 1 + (-97)\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113.885 micrograms to milligrams.\nAnswer: 0.113885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 236 - 341. Let p = v - -104.8. What is the closest to 0 in 0.07, p, 1\/2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.92 - -0.08. Put 23, 3\/4, z, -5 in descending order.\nAnswer: 23, z, 3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148173398?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 - 38. Sort -0.4, -3, i in descending order.\nAnswer: i, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -8. Suppose b + 0*b - 4 = h. Solve 0 = b*l + 16 + 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (138 + -137 + 1 + -2) - 9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + -1 - (-13)\/((-52)\/(-216)). Suppose -46*i + j*i = 235. Let p = i + -10. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3 - 1 = 0. Suppose -240 + 407 + 357 = 131*o. Solve -h = -d - 5*h + u, o*d - h = 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g + 23. Let x be f(-7). Suppose 0*k + 24 = x*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 3 (b) 0.3 (c) -4 (d) -2\/7 (e) -42.5 (f) -351\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4258921 to the power of 1\/2, to the nearest integer?\nAnswer: 2064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*q + 5*q. Let y(o) = -8*o. What is the units digit of y(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*i*k*o*x + 48*i*k*o - 17*i*k*x - 32*i*k + 2*i*o*x - 2*i*x wrt x?\nAnswer: 4*i*k*o - 17*i*k + 2*i*o - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 3*u - 3*u)*(-4*u + 5 - 5)*((-25 + 10 + 18)*(-3*u - 6 + 6) + 2 - u - 2).\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17565299 to the power of 1\/2, to the nearest integer?\nAnswer: 4191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2591963?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 3. Let r be p(-6). Let h(o) = 29*o - 3. Let z be h(r). Round z to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2349144 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 4*k**2 - 11*k + 6. Let o be f(-6). Let m = o + 5. Suppose -2 + 12 = -m*x. Is -1\/8 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -372*g + 24. Let s be d(3). Let f be -1*2\/(-13) + 90\/s. Let m = -0.8 - -1.3. Put m, f, 5, -4 in decreasing order.\nAnswer: 5, m, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/13)\/((-3)\/(-39)) - -22?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124 divided by 37.\nAnswer: -124\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1752769565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -369010 (base 16) in base 8?\nAnswer: -15510020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 241 + -203. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 + (-101 - 15) - -105.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 208 and 17?\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (11 + 99\/51).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, 41, 108, 207, 338?\n\"Answer: 16*m**2 - 13*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1905 - 1910. Sort 35, 0.4, h, -3 in decreasing order.\nAnswer: 35, 0.4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 329663. Let t(k) = -33*k. Determine c(t(h)).\nAnswer: 33*h + 329663","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46 or 38?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 7680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00313601 rounded to four dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 658 - 5014 = 0. Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85658105?\nAnswer: 5, 13, 1317817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-1356)\/565)\/(27\/75))\/(4\/(-6)*1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -322*p + 1394*p - 6432 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 19251582.\nAnswer: -1\/6417194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36 and 4?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-99*k**3 - 290*k**3 + 530*k**3)*(-2 + 6 - 1 + 0 + 2 - 1 + 1 + 1 + 0 + (1 - 1 - 2)*(1 - 2 - 1) + 5 - 3 - 1) as r*k**3 + q + p*k**2 + u*k and give r.\nAnswer: 1551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p - 55. Let n be j(17). Let a be 4 + (n + 6 - 5). Solve v - 5*l + 5 = 6*v, -3*l - a = 4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 692 - 378. Let s be 32\/(-6) - 2\/3. What is the units digit of s\/(-10) + j\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1068828 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o**2 - 5*o + 9. Let x(b) = 11*b**2 - 8*b + 14. Suppose -13*f = -12*f + 5. Give f*x(h) + 8*a(h).\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.107584 to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 300 = -4*k, -3*d + 3*k - 32 = -209. Calculate the highest common factor of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 60 = 21*k. Let d(z) be the third derivative of 1\/12*z**4 + 0 + k*z**3 + 0*z + 9*z**2. Let r(j) = -20*j**2. Determine d(r(b)).\nAnswer: -40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7667355*p**5 - 13*p**4 + 5165648*p + 1.\nAnswer: 153347100*p**3 - 156*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -111100?\nAnswer: 111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**3\/3 + 3*t**2\/2 + 2*t - 92. Let m(x) = -6 - 8*x - 3 - 3*x**2 + 3. Calculate -11*c(b) - 4*m(b).\nAnswer: b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + sqrt(72)*-1 + sqrt(72) - (sqrt(72)*-2 + sqrt(72) + 1)) - -3*(1*((sqrt(72) + (-1 + sqrt(72) - sqrt(72)))*4 - sqrt(72)))**2.\nAnswer: -468*sqrt(2) + 2010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 363499.0756 - 363263. Let g = -236 + h. Round g to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 73\/5, 5\/2, -0.05.\nAnswer: -0.05, 0, 5\/2, 73\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 132491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2*33\/55*25\/9*84\/(-4)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 7:41 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65.99999938 + 66. Round q to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 241 + 258 = 8*r, -2*q + 11 = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 - 67. Solve -m*o = -2*o + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 37584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5 = -2*i + 2, -2*i + c + 3 = 0. Let r be (-52583)\/i - 2\/(-8). Let a = -17516 - r. Find the common denominator of a and 91\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l + 3 + 4*l - 5 - l. Calculate q(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = 5*h - 768. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*p - 4634 - 23569 = 992*p for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 0*t - 4*s - 46, 3*t + 3*s = -42. Let w(d) = -7*d + 64. Let r be w(7). What is the units digit of r\/(1 + t\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22848835 to the power of 1\/2, to the nearest integer?\nAnswer: 4780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -105113.9169 to the nearest 10.\nAnswer: -105110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - r = 5, 0 = -0*a - 5*a - 2*r + 20. Let s(j) = -j**3 + 12*j**2 - 31*j + 9. Let p be s(10). Which is bigger: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220125 divided by -25\nAnswer: -8805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-297)\/(-891))\/(2\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**3 - 27 + r**3 - 7 + 1 - 7*r**2 - 2*r**2 to the form y + m*r**3 + x*r + p*r**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + 0 - (1 + -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2700498*l + 2009694*l + 3339786*l + 3703406*l.\nAnswer: 11753384*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*j + 3 = -41, -4*c + 2*j + 176 = 0. Suppose -c = -5*h + 31. Find the third derivative of -h*v**4 + 30*v**4 - 23*v**4 + 4*v**2 wrt v.\nAnswer: -192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -2) + 104 + -134 - -19\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.4, 0, -853 in increasing order.\nAnswer: -853, -9.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13177 - -16828. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6368 by -2.\nAnswer: 3184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -21*v + 12. What is l(-4)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-30)*4*50\/(-120)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13\/32 + -3\/32. Put 2\/17, k, 4, 0.3 in descending order.\nAnswer: 4, 0.3, 2\/17, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**5 + 374*s**4 - 2520*s**3 - 5560*s**2 + 34784*s - 33024 = 0?\nAnswer: -4, 3\/2, 2, 8, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**5 - 18*u**4 - 50*u**3 - 30*u**2 + 52*u + 48 = 0. Calculate u.\nAnswer: -4, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 425*k - 1 + 284*k + 161*k as h*k + v and give h.\nAnswer: 870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 622669000 rounded to the nearest one million?\nAnswer: 623000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/10)\/((8\/940)\/(-1)). Suppose -66 = -4*j + 2*i + m, j - 34 = -i. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 56*i**2*p**4 + 2*i**2*p + 249*i**2 + 8914*p - 12946 wrt p.\nAnswer: 224*i**2*p**3 + 2*i**2 + 8914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 6:13 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -530, 27538?\nAnswer: -530","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3171 and 1344.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 902381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 15421 = r - 5*q, 4*r = -5*q + 61759. Let x = 264 - -884. Suppose 8*v = x + r. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/810658 and 50\/123361.\nAnswer: 5674606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 at least as big as -14360\/1451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 57429994238 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16949466673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 37*i**2. Let l(b) = 7*b**2. Give v(l(s)).\nAnswer: 1813*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.399 - 0.199. What is the nearest to -2\/9 in f, 21, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2643, -5071, -7499?\nAnswer: -9927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*j + j. Suppose s + 600 = j*s. Suppose -4*o - s = -8. Round o to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31.8 and 43.\nAnswer: 1367.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 1. Let o(a) = 2*a**3 - 4*a**2 - 65*a + 10. Let z(y) = 4*d(y) - o(y). What is the first derivative of z(g) wrt g?\nAnswer: -6*g**2 + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 11*h - 2. What is the second derivative of 15 + 5*m - 3*m - m**3 - 943*m**2 + 945*m**h wrt m?\nAnswer: -6*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4676 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**2 + 1460985*y = 0.\nAnswer: 0, 292197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1, 1\/2, 0.3, -11\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 4*d - 4, -3*i + 0*d + 1 = 5*d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 231123 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 9a8?\nAnswer: -9a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.125026 years in decades?\nAnswer: 0.0125026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 13*z**2 - 9*z + 11. Let j be l(-12). Is 22 a factor of 116 + 5\/(j\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25922749?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*(-1)\/(-3))\/1. Suppose 0 = -2*d + 92*g - 93*g - 1, -3*g = 15. Solve -1\/6*y**d + j*y + 1\/2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-2 + 4 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + r + 74 = 0, -f = f + 5*r - 48. Suppose -11*y = -f - 80. Solve 13*s - y*s = 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1596 + 1603. Solve -o*v - 15 = 13 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -860*i + 863*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1132 + 2267\/2. What is the smallest value in a, -0.052, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -96, -89, -26, 111, 340, 679, 1146?\nAnswer: 1759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rttrrttdrrrt. What is prob of picking 1 d and 1 r?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1667023.8 hours?\nAnswer: 69459.325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1505)\/3870*(-3726)\/(-189)?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -u - 3*s, -s = 4*u + s - 48. What is the common denominator of ((-3)\/u)\/((-6)\/142) and 105\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 36, 0, 3, 14, 4 in ascending order.\nAnswer: -2, 0, 3, 4, 14, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -212222012021220 (base 3) to base 10\nAnswer: -12738759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 0*s**2 - 7\/12*s**4 + 0*s**3 + 3\/20*s**5 + 11*s + 0. What is the third derivative of f(v) wrt v?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-36)*0)\/(-2 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 10. Let d be 10\/4 - 3570\/540. Let k = d - -40\/9. Which is the nearest to 0.1? (a) 30 (b) k (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w + 51. Let u be t(-8). Suppose 4*f + 4*s = -0*f + 4, 0 = -2*f - u*s. Calculate the remainder when 76 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 19 + -31 + 3 + 4 + -15?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**3 - 6*d**2 + 15*d + 18 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*h = -271*h - 60 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 936, 2038, 3332, 4848, 6616, 8666?\nAnswer: 11028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -13026706.26191?\nAnswer: 13026706.66191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j. Let x(v) = -10*v**2 + 4. Let m(t) = -t**2 - 1. Let h(f) = 4*m(f) - x(f). Let c(o) be the first derivative of h(o). Calculate c(w(k)).\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.22 - 0.78. Let q = -653 + 657. Which is the smallest value? (a) q (b) z (c) -0.5 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 26 = -5*z, z + 2*g + g - 14 = 0. Suppose -z*c + 34 = 14. Suppose 5*l = c*l. Solve 4 = -5*j + 3*u + 2, l = 4*j + 4*u - 24 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (5 - (-2 + (11 - 3)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 312 and 1216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d + 232. What is g(-8)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8*a**2 + 2*a + 3. Let k(h) = 15*h**2 + 6*h + 5. Calculate 3*k(x) - 5*u(x).\nAnswer: 5*x**2 + 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 83095 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, 3.7, 456, 2 in ascending order.\nAnswer: -5\/6, 2, 3.7, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -109*v - 1. Let w(l) = -316*l - 4. Calculate 8*d(i) - 3*w(i).\nAnswer: 76*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 54 + 42 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -44 and 0.03.\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -2. Let x(z) = 5*z + 3. Let l be x(0). Suppose a*n - l*n = -4400000. Round n to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**8\/112 + 3*y**7\/35 + 2*y**6\/5 + y**5\/10 - 15*y**4\/8 - 4*y**3 - 8*y**2 + 12*y. Determine n, given that a(n) = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 276 - 182 - (-62800)\/(-668)\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 - 517*t + 6128395. Give z(1626).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 527\/330 + -11\/15. Find the common denominator of 1406\/(-168) - (-6)\/21 and w.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/14 + (-594)\/(-378).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.27 + -0.07. What is the nearest to 1 in -4, -0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -30*u**2 + 14*u - 14. Let x(y) = 6*y**2 - 3*y + 3. Suppose -42*s + 21 = -35*s. Calculate s*f(i) + 14*x(i).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/8 - (-111)\/6. Let w = -14 + s. Let t be (w + 1)\/4 + -1. Solve t = 3*l - l - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1270, 2771, 4508, 6487, 8714, 11195?\nAnswer: 13936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55634*g**4 + 31626*g - 3.\nAnswer: 667608*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 135*f - 2 + 2. Which is the nearest to -9? (a) 2 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -76*u**6\/15 + 2*u**2 + 207*u. Find the first derivative of s(g) wrt g.\nAnswer: -608*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -228*i - 1138. Let y be v(-5). Solve 2*s - 12 = 3*l + 3*s, s + 9 = -y*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 2:21 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 246 and 39?\nAnswer: 3198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + z - o - 38695, 0 = z + 4*o - 38685. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/62)\/(1\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -28, 1043 in decreasing order.\nAnswer: 1043, -6, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 86850*l*r**2 - 16840*r**2 wrt l.\nAnswer: 86850*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 213203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23230 is divided by 7021.\nAnswer: 2167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2437424890 divided by -1?\nAnswer: 2437424890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*j - 0*j. Suppose -h = -0*h + 11. Let d(n) = n**2 + 4*n - 8. Calculate the remainder when d(h) is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.6 - -3\nAnswer: -14.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 3 = 2*x, 11*x + 79*i - 21 = 80*i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 0)*(2 + p**3 - 2) + (-p**2 + 0 + 0)*(18*p + 0 + 0) - p**3 - 3*p + 3*p as j*p**2 + a + h*p**3 + s*p and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453642147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*y - 30. Let c(n) = n**2 + 24*n**2 + 13*n**2. Calculate the remainder when c(-1) is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/5 (b) 89.789 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.1, -2, 0.9, -0.3, -112, 3 in descending order.\nAnswer: 4, 3, 0.9, 0.1, -0.3, -2, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1787469371?\nAnswer: 37, 48309983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 4:46 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(7) + (sqrt(28))**2)*5 + (sqrt(21)\/sqrt(3) + -5)**2 + 1.\nAnswer: 10*sqrt(7) + 593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**8\/784 + g**7\/245 - g**5\/70 + g**4\/56 - 7*g**2. Factor z(l).\nAnswer: -3*l*(l - 1)**3*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 58718?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + y = 2*y. Let t be (-13)\/4 - 3\/(-12). Let m be ((-1)\/t)\/((-3)\/(-2)). Is m at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 27 = 7*a - 8*a, a = 28*j - 142 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/2 + 7\/6. Let u be (-6)\/(-4)*4\/3. Suppose u*r + r - 3 = 0. Is l at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001487 to five dps.\nAnswer: -0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38875324\/1853425623 + -1\/733449. Find the common denominator of 71\/28 and l.\nAnswer: 10108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16533623891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.1 + 2.6. Let t = -7 - b. Let u = -2.5 - t. What is the biggest value in -2, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 69*g**2 + 8*g - 3. Let a(o) = 2*o - 1. Let x(l) = 3*a(l) - u(l). Let d(q) = -2*q. What is x(d(r))?\nAnswer: -276*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 - 10*r - 10. Let k(d) = -3*d - 3. What is 2*f(p) - 7*k(p)?\nAnswer: -4*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*v**5 - 6*v**2 + 0*v**2 + v**2 wrt v?\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2234 is divided by 123?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(19)*-4 - sqrt(76)\/(sqrt(576) + 1*sqrt(576) - sqrt(4)))**2 - -4*((sqrt(133)*-3)\/sqrt(7) - sqrt(76)*5).\nAnswer: -52*sqrt(19) + 10264275\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 4*t + 2. Let o be p(-3). What is the greatest common divisor of o and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcduuuucdcd. What is prob of picking 1 u and 2 d?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*v + 2 = 0. Let x = 10 + -7. What is the nearest to -1 in v, x, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f + 6. Let w be b(0). Solve 4 = -2*x + w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.9 - -0.1. Which is smaller: z or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 147*d - 144*d + 2*q, 10*d + 5*q + 5 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 86.\nAnswer: 25\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-1)\/1 - -3. Let d be 2\/8 + (-224316)\/(-16). Suppose -x = 2*x - 4*z - 20984, c*x + 5*z = d. What is x rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 22*b**3 - 6*b - 9. Let n(t) be the third derivative of -11*t**6\/120 + t**4\/8 + 2*t**3\/3 + 7*t**2 + 19. What is -7*n(f) - 3*v(f)?\nAnswer: 11*f**3 - 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6744 + -884?\nAnswer: -7738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 572*q**3 - 2*q + 1. Suppose 2*b = t - 5, -t + b + 4 = -0. Suppose -t*h = -1 - 2. Is x(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-9*4\/216)\/(10\/2)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*(-2 + 2). Let o = y + 9. Let l be (4*-3)\/(2\/(-15)). Calculate the highest common factor of o and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 0 - -2) + 9. Solve c - a = 2*p, -4*c + p + p + 14 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*f**3\/8 + 180428171*f**2\/8 - 12887725*f + 3682207\/2 = 0. Calculate f.\nAnswer: 2\/7, 3682207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 12 - 16 - 2. Suppose -2*m + 29 + 11 = 0. Let r be m*(1\/1 + 0). Solve -h*a + 2*a = r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.84 - -25.04. Let u = -23.199908 + x. What is u rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148\/1480*4\/((-8)\/75).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/5)\/(k*(k*k**3)\/k))**(-3\/5) assuming k is positive.\nAnswer: k**(72\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/7, -0.2, 49.7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -19*l**4\/4 - 19*l + 3. Differentiate c(i) with respect to i.\nAnswer: -57*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.1027 * -0.3\nAnswer: -1.53081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - f + 14 = 0, 4*f - 34 = 4*o + 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(1\/24*-2). Suppose -n + 2*s + 0*s + 8 = 0, -b = 2*n + 3*s. Solve n = -2*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 - 34\/14 - (-3689036)\/182?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102827 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y - 31*y = -21. Suppose -3*s + 2*w + y + 2 = 0, s = -5*w + 13. Let i be (1\/4)\/(1\/4). Put i, 2, s in decreasing order.\nAnswer: s, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -25*d**3\/6 + 2*d - 16. Let j(w) = 3*w**2. Determine k(j(h)).\nAnswer: -75*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 431382600 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 9 - 99. Let n be ((-4)\/(-3))\/((-6)\/q). Let a be (-4)\/n*(-198)\/(-12). Solve t = 2*t + 3*b + 1, -2*t = -3*b + a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13497662729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 4488?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.31 + 0.91. Let p = -45.7 + 49. Let x = 0.3 - p. Sort l, 6\/11, x in increasing order.\nAnswer: x, l, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 16 = -2*q + 4*y, 0 = -4*q + 3*y + 15. Let a = 4 - -1. Let r = a + -8. What is the closest to q in -4, r, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 + -80. What is the second biggest value in -0.4, p, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -88817, -88834, -88861, -88898, -88945?\n\"Answer: -5*k**2 - 2*k - 88810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -200 + g - 11*g - 10*g**2 - g + 12*g wrt g?\nAnswer: -20*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10591 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7193 - -42653\/6. Let d = k - -84. Is 3 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1132114 (base 5) to base 4.\nAnswer: 11012231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*m - 165 = -2*g, 0 = -m - 5. Let d = 442 - 418. Suppose 3*l = 3*k + d, 0 = -7*k + 6*k + 5. Calculate the remainder when g is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - t. Let y be q(1). Let l be 12*(2\/4 - 2). Let h be (2\/3)\/((-3)\/l). Solve y = -h*r - 4 - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 22.05. Let s = t + 0.35. Which is the third smallest value? (a) -3 (b) s (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + (sqrt(325) - (sqrt(325) + sqrt(325) + sqrt(325) + sqrt(325)*-2)) + sqrt(325))*-3 + 3*2*sqrt(13)*-1)**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*239591.\nAnswer: 718773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33044103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - f = -405, -3*v - f + 606 = -0*v. Suppose -v*h + 1899 = -192*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445655025 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2072)\/(-22) + 1 - (366\/(-16287) + 3400\/16643)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -495*w**5 + 261*w.\nAnswer: -9900*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ulluluuulluuuuuu. Give prob of picking 4 u.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 1 - 2)*(-3*b - 4*b + 5*b - 3)*(-1 + 5 + 1)*(-2 + 5 - 2)*(-1 - b + 0 - 3) as w*b + p*b**2 + a and give a.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/496*25920\/1080.\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 1\/5, 0.4.\nAnswer: -31, 1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 + 2*y + 5. Let o be b(-1). Solve -4*h = -t + 21, 2*h - t = 3*h - o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - sqrt(35)*-2)*-2)\/((1*sqrt(63))\/sqrt(9)).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 274884?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8649967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 24*x**2 - 5*x - 19. Let s be q(23). Calculate the common denominator of 55\/46 and s\/30*((-81)\/(-24) - 3).\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20883 or -20885?\nAnswer: -20885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2540306*y**3 - 864*y**2 - 193*y wrt y?\nAnswer: -15241836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9 + 25.1. Let g = 26.6 - n. Let u = 0.06 - -3.94. Which is the closest to 1? (a) 0.5 (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 10*n - 48. What is the smallest common multiple of n and (-9 - 1)*(-8)\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/8*-10*-8. Suppose -22*p + y = -17*p. Solve 0 = p*g - 3*g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115187027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 401*m**5\/30 + 131*m**3\/3 + 5*m**2 + 16*m. Differentiate f(y) with respect to y.\nAnswer: 1604*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -297, -299, -301?\n\"Answer: -2*j - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssgs when four letters picked without replacement from ggggssgsss?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**4\/12 - 3*r**3 - 2*r**2 + 37*r. Let n be w(-6). Suppose 66*z - n*z + 3434 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1946 times 0.0272?\nAnswer: -0.00529312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + v + 8. Let f be l(0). Let h = -7 + 2. Let s = f + h. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*v**3 - 39*v**3 - 19*v**3.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 756057 to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 2. Let n be q(-4). Let u be n\/(-14) + (-333)\/(-7). Calculate the greatest common divisor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**6\/30 - 13*m**5\/4 - m**4\/4 + 197*m**3\/6 - 65*m**2 - m - 24. Solve q(h) = 0.\nAnswer: -2, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 5*a + 9. Let h be v(-6). Suppose 0 = 3*w + 3*r - 4 - 35, h*w - 39 = 5*r. Calculate the remainder when w is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t + 12. What is the units digit of q(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -48, 0.8, 0.5, 1.2, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001225556 rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30398292 is divided by 1065.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76)\/57)\/((-30)\/9)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64126 less than -5?\nAnswer: -5.64126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 2)\/(-2 - -1). Factor 2 + 2*n**3 + 4*n**3 - 3*n**4 - 4*n - 2*n + h.\nAnswer: -3*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.9 - 14.2. Let x = 1\/88 - 17\/88. What is the third biggest value in -5, f, x, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 155\/6 (c) -0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 253.3 to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 75499\/515 - (0 - 2\/5). Calculate the greatest common factor of 105 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jza when three letters picked without replacement from zjawzw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**0*z\/z**(-11))\/((z*z*z**(-2))\/(z\/(z**12*z))) assuming z is positive.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 14, d: 5}. Give prob of picking 1 p and 1 d.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 93 and 21?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -281*s**2 - 5672*s - 1078. Determine n(-20).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 1007\/24. Let k(u) be the third derivative of 0*u + 1\/240*u**6 - 3*u**2 + 0*u**5 + j*u**3 - 1\/48*u**4 + 0 - 1\/840*u**7. Factor k(q).\nAnswer: -(q - 1)**3*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 8*r + 4. Let p be i(7). Let l be (-2 - p)*(0 + -1)*-17. Solve 5*b = -l + 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 3\/7*c**2 - 4\/7*c + 8\/7*c**3 + 1\/2*c**4 - 3. Factor h(w).\nAnswer: 2*(w + 1)**2*(7*w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9992.\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kks when three letters picked without replacement from {k: 7, s: 1, p: 10}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94841259 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**5\/3 - 311*b**4\/3 - 818*b**3\/3 + 536*b**2\/3 + 274*b - 75 = 0.\nAnswer: -75, -3, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 67*n + 1. Let t be a(1). Suppose 3*z - 10 = -2*g, 3*g - z = z + 2. Suppose -g*q + t = 2*q. Calculate the remainder when q is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-1 - (-1 + 4 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 674, 2709, 6092, 10817, 16878?\n\"Answer: -c**3 + 680*c**2 + 2*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1212.499948208 - 1212.5. What is k rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4356 - 6*z - 4356.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 0 + (-4 - -1)\/((-36)\/192)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - -51. Let t = 246 - 219. Calculate the remainder when l is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4 = -o, -o + 0*o - 4 = v. Let k(x) = x + 20. Determine k(v).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**6 - 29930*a**3 - 110690*a**2?\nAnswer: -120*a**3 - 179580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (900\/24)\/(4\/64). Suppose 5*j + 2*z = 127 + m, -j - z = -143. What is the remainder when j is divided by 47?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a. Let m(h) = -37*h - 43. What is y(m(d))?\nAnswer: -259*d - 301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - i**2 + 0*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/13, 315\/2, -0.1 in descending order.\nAnswer: 315\/2, 12\/13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 + 231*j**3 - 5160*j**2 + 40256*j - 105984.\nAnswer: -(j - 207)*(j - 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/2 + (-36)\/(-27)*-3. Let b be 10\/42 + 1\/((-18)\/n). Determine l, given that -2\/7 - b*l + 4\/7*l**3 + 2\/7*l**2 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9d0 (base 15) to base 4\nAnswer: -202230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, z: 2, w: 1, d: 1, t: 2}. What is prob of sequence zdtw?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 8. Let t be (307\/(-12))\/((-5)\/3). Let d = t - 68\/5. Is r > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2634 times -0.1\nAnswer: 263.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4450993 (base 11) to base 2.\nAnswer: 11101110001011110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -2028?\nAnswer: -2024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**3 - 4*b**2 + 18*b + 17. Is m(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*x - 2054 + 3914 = 0 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11001222021102 - -1?\nAnswer: -11001222021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w**2\/w*w*w\/(w\/(w*w**(-1\/2)*w*w))*(w*w\/(w*w**(-1)))\/w*(w\/(w*w\/(((w*w**(-2\/17))\/w)\/w)))\/w assuming w is positive.\nAnswer: w**(149\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2 + 10. Suppose 6*c - t*c + 694 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379 = -3*t + 391. Suppose -2*j + 22 = n, t*j + 5*n = j + 33. Solve -j = -5*o + 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 2. Let w be 0\/(-2 + b + -2). Let o be w - 1 - 4\/1. Put -3, 0, o in decreasing order.\nAnswer: 0, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 2. Let u be n(0). Suppose -4*f + 9 = -f. Let s be 1*(3 + 3\/f). Solve -8 = -u*q - s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/21440 and -39\/40.\nAnswer: 21440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -40 and -1.19509012.\nAnswer: -41.19509012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**3 - 6*k**2 - 5*k + 5. Let q(b) = -6*b**3 + 5*b**2 + 4*b - 4. Let n(l) = l**3 - 16*l**2 - 18*l + 12. Let z be n(17). What is z*f(i) - 6*q(i)?\nAnswer: i**3 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 442, 1.7, 0.2, -3, -0.3.\nAnswer: -3, -0.3, 0.2, 4\/5, 1.7, 442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 8. Let q(f) = f**2 + 5*f + 5. Let i be q(n). Solve i*d - h - 17 = -5*h, 10 = 4*d + 5*h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1661181939 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -24. Let o = -2 - d. Is o at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -515*j**2\/8 + 513*j\/8 + 1\/4.\nAnswer: -(j - 1)*(515*j + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s - 1. Let r be u(10). Suppose 0 = -4*c + 4*w + 100, -5*w + r = -0*c + 2*c. Calculate the remainder when 43 is divided by c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 minus 446.9410211?\nAnswer: -446.6110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 937.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(2\/4 + (-2)\/12). Find the third derivative of -39*c**l + 11*c**2 - 12*c**2 - 5*c**4 - 4*c**4 wrt c.\nAnswer: -216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293953 is divided by 1843?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + a + 1. Let v(t) = 0 - 6 + 4 + 4*t**2 + 14*t. Suppose -2*j = 2*j + 4. Let r(x) = j*v(x) + 6*l(x). Factor r(p).\nAnswer: 2*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((16128\/98)\/18)\/(20\/14)\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 plus -185838.689?\nAnswer: -185838.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 13 = w, 2*w = -0*w + 4*l - 28. Let m = w - -17. Suppose 303 = 3*x + 3*q, 0 = -q + 2*q + m. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7441 and 37121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + q + 2*q**3 - 4 + 0*q + 1 + 2 to g*q**2 + n*q + o + t*q**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 3*r**5\/10 + r**4\/12 - r**2\/2 - 7*r. Determine w(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(-9*t + 3 + 3 - 7).\nAnswer: -18*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2518\/303 (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10288)\/38580)\/(172\/(-10))*(-18)\/(-4).\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.08 - -0.08. Let u = v + 2.06. What is u rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77702 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72662951?\nAnswer: 29, 107, 23417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2666*c**2*f**2*z**2 + 23785*c**2*f**2*z + c*f**2*z - 62967032*c*f - z**2 wrt c?\nAnswer: -5332*f**2*z**2 + 47570*f**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-15) + -2 - (-26)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 535 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6a - 18eb?\nAnswer: -1966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5205 and 5139070?\nAnswer: 1735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 8 - -24 - 25\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 36*j**2 - 4 + 3*j**4 + 35*j**2 as s*j**4 + b*j**2 + x*j + f + c*j**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 1.6, -32, 0.03197?\nAnswer: 0.03197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 2*f - f + (2*f + 0*f - f)*(-1 + 1 - 1) - 2*f - 1 + 1)*(2*f**3 + 10*f**2 + 2*f**4 - 10*f**2).\nAnswer: -2*f**5 - 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -129\/2 + 63. Let d = 0.1 - 0.4. Let y = 0.7 - d. What is the nearest to 1\/4 in b, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1152 = -0*z + 3*z. Suppose -2804*r = -2792*r - 6192. Suppose 6*d - z = r. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -481583\/28 + 17197. Calculate the common denominator of u and 97\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**4 - 7*i**4 + i**4)*(4 + 3 - 3 - 1).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*u - 24*u - 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z. Let o(v) = v. Suppose 8*n = 11*n + 42. Determine n*o(i) - 6*m(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 16*w - 1. Suppose -x - 4 = -3*p, 2*x - 2 = -p - 3. List the prime factors of i(p).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.382237ml to litres.\nAnswer: 0.000382237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggr when four letters picked without replacement from {g: 12, r: 7}?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/19? (a) -21 (b) 3\/5 (c) -4 (d) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 23*z + 247. Calculate d(-14).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**4 + 480334*y**3 + 6725018*y**2 + 12009026*y + 5764344 = 0.\nAnswer: -12, -1, 240181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/28 - 18\/(-42)*43.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 186*z**2 - z + 2. Let t(j) = 0 + 0 + 185*j**2 - 40*j + 2 + 39*j. Let o(k) = -4*t(k) + 5*u(k). Is 21 a factor of o(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (-1 - (6 + -13)). Let a be 3897\/9 + y + -4. What is the greatest common factor of 27 and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrryyyyyyry. What is prob of sequence rryy?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(6*sqrt(8)\/sqrt(2)))\/(sqrt(4400) + sqrt(4400)*1)*-3.\nAnswer: -sqrt(2)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(-2*(2*-1*sqrt(245) + sqrt(245)))**2.\nAnswer: -980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 95?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k + 12 = 0. Suppose -k*y - 20127 + 69687 = 0. Suppose 0*m - 2*w = -2*m + y, -20 = -4*w. Round m to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 2)*(-2 - 5 + 8)*(2*i + 3*i - 6*i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a hour in seconds?\nAnswer: 4950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d7 + 1166?\nAnswer: 145d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a millennium in centuries?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 15*k. Let b(a) = 15*a. Let w(h) = -5*b(h) + 4*r(h). Let n(v) be the second derivative of 0*v**2 - 1\/6*v**4 + 4*v + 18 + 0*v**3. What is n(w(s))?\nAnswer: -450*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-213 - -206) + -12 + -2\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/2, -1, -0.92, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502777712?\nAnswer: 2, 4051, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 517*q = 510*q + 14. Let m(i) = -i**3 - 8*i**2 - 7*i + 4. Let h be m(-7). Sort h, 5, 23, q in decreasing order.\nAnswer: 23, 5, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - u + 5. Let i(f) = 4*f**2 - 6*f + 15. Let j(o) = i(o) - 3*w(o). Determine j(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - v**2 - 3*v - 4. Let q be t(3). Suppose -q*r = 5*k - 15, -3*r - k + 7 = 4*k. Let x be (-2)\/(-8) - (-60)\/16. Solve -x*c + r - 16 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**2\/2 - 2*j + 2. Suppose 719*f - 711*f = 16. Give i(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.34, -7, 1\/7, 3240, -2 in decreasing order.\nAnswer: 3240, 1\/7, -0.34, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*d + 3218 + 1350 = -3293 + 1713 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 11. Let r be d(12). Solve -q + 2 + r = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t + 0*t - 3*t**2 + 78*t**3 + 3*t - 79*t**3 as o + a*t**2 + q*t**3 + w*t and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -288, -1131, -2542, -4527, -7092, -10243, -13986, -18327?\nAnswer: -23272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79960155?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-15 + -7 + 17)) + (3 - -2 - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = 2*y, y - 4*y - 6 = 0. Suppose 0 = n*m + 4 - 8. Factor m*p**2 - 2 + 4 - 6*p + 10*p.\nAnswer: 2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 18 = 2. Let s(b) = -b**3 - b. Let w(v) = -v**3 - v + 0*v + 0*v**3. Let y be (990\/360)\/((-2)\/(-8)) - 6. Give a*w(d) + y*s(d).\nAnswer: -d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-9) + (-62)\/(-3). Let h be 6\/1*1\/2. Suppose 0 = -h*f + 3 + 12. Solve f*p - 4 = -2*z - 14, 4*z - p = -j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -15.4. Let p = -1 + d. Let w = -382 - -763\/2. Sort w, p, -3 in descending order.\nAnswer: p, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 106?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -342\/7 + 1061\/21. Let t be (-104)\/(-50) - (1 - -1). Which is the fourth biggest value? (a) w (b) -1\/6 (c) t (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4*z - 19*z - 2*z + 8*z + 6.\nAnswer: -17*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 831*f**2 - 1661*f**2 - 2*f + 832*f**2 + 12*f.\nAnswer: 2*f*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 2. Let o be v(5). Suppose 3*d - 15 = -o*b, -2*b = 4*d + b - 17. Is (-1)\/(-1*d\/22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*((-2)\/14)\/(305\/(-236985))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 130\/(-7) - (-4040)\/(-2828).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1633)\/(-16330) - (221\/10 + 2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4*d**4\/5 - 1622*d**3\/5 + 45176*d**2\/5 - 43558*d\/5 = 0?\nAnswer: 0, 1, 29, 751\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 348 and 10704.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**2\/2 - 10*y + 29. Let j be i(-4). Let h(b) = -b + 2. Give h(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -1\/2*j**2 - 5*j - 1. What is the units digit of h(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 35*x + 7. Let n be p(34). Suppose -5*r - 6 = -26. Suppose u - n = -v, -3*u - r*v = 42 - 161. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/14*(-104)\/(-16) and 17\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -3*n + 5*i, -i + 32 = 4*n - 10. Calculate the remainder when n is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5 - 351*b**3 + 398*b**3 + 5 - 4*b - 2*b**2. What is the least common multiple of a(2) and 12?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.686846 * -0.2.\nAnswer: -0.1373692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkgnxk. What is prob of sequence kx?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7120*m**2 + 7106*m**2 - 9928*m + 131 + 9929*m)*(3*m - 5*m + 4*m) as a*m**3 + h*m**2 + u*m + j and give u.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -2*g**5 + 7*g**2\/2 - 1. Find the second derivative of j(m) wrt m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 6:33 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -873 - -944.49. Round y to zero dps.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355 (base 11) in base 2?\nAnswer: 11011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -683, -1315, -1899, -2435, -2923?\nAnswer: -3363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326594467 is divided by 1366504?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 9:28 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -725\nAnswer: -1\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.9862313mm?\nAnswer: 0.0009862313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 6)*(-b + b - 2*b**3) + 2*b**3 - 4*b + 4*b - 8 - 29*b + 3*b**3 + 7 - 4*b**3.\nAnswer: 3*b**3 - 29*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3560, -14226, -31992, -56858, -88824, -127890, -174056?\n\"Answer: -3550*t**2 - 16*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -1. Solve 0*c + 15 = -w*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f. Let l(m) be the first derivative of m**4\/24 - 11*m**3\/6 - m**2 - 6*m - 52. Let p(y) be the second derivative of l(y). Calculate p(b(z)).\nAnswer: z - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 37*x + 664. Let f be u(-8). Calculate the highest common factor of 128 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 - -91. Let u be ((-6)\/20)\/(x\/(-40)). Factor -u*i**2 + 0*i - 2\/5*i**3 + 2\/5*i**5 + 0 + 2\/5*i**4.\nAnswer: 2*i**2*(i - 1)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282511528 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -331*v**2 - 375 wrt v.\nAnswer: -662*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -871, -870, -883, -910, -951, -1006, -1075?\n\"Answer: -7*s**2 + 22*s - 886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -3*z. Let t be (-1 + z)\/(2 - 0). Let j = -10818 - -10821. Which is the closest to -0.2? (a) -1\/4 (b) j (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73740 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/15 in 3\/5, 0.5, -511?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8867540 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5375 or -3574\/5?\nAnswer: -3574\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-76)\/(-190190)*70 - 4\/(-26). Factor -20\/11*m**2 - 34\/11*m - 16\/11 - a*m**3.\nAnswer: -2*(m + 1)**2*(m + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 5*x**2 - 4*x + 1. Let m be (-4 - -1)*-1 + -3. Suppose 3*k + 3*n + 2 = n, -3*k - 3*n - 6 = m. Let j = 5 - k. Calculate p(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j = 90. Calculate the greatest common factor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 0*h**2 + 3*h**2)*(0*h + h - 2*h) - 3*h**3 + h**3 + 0*h**3 + 3*h**3 - 2*h**3 - 2*h**3 - 11*h**3 - 30*h**3 - 89*h**3.\nAnswer: -135*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s - 4. Let t be p(-4). Suppose -2 = -2*f - t, -3*f = z + 7. Let o(n) = -n. Let b(r) = r + 3. Let g(q) = -b(q) - 2*o(q). Determine g(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - ((2 - 6) + 7). Let x = 0 + -4. Let d be -2 - (g + (x - -3)). Solve k + 1 = -d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44559 (base 11) to base 12\nAnswer: -31439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4101 - -4?\nAnswer: 4105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 + 5 - h**2 + 3*h**2 - h**2.\nAnswer: (h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 10. Let j be c(-8). Suppose -j*f - 2*i = -34, 27 = f - 0*f - 4*i. Calculate the remainder when (-3)\/(-3)*(-17 - -167) is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**5\/60 + g**4\/24 + 29*g**3\/6 - 7806*g**2. What is k(-9)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 25.24. Let h = 0.7746 + i. What is h rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20101332313 (base 4) to base 5.\nAnswer: 1023431212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7459 - -7433 - (-118 - 2)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 6)\/(-2)*20\/15\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17*(-5)\/60 + 6\/(-8)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2040 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2730 = -9*r - 11*r. Sort r, -2, -6.\nAnswer: -6, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6128 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + g**2 - g + 5. Let j be v(0). Suppose 0 = -3*a + 23 - 5. Let z be (-2)\/a*-3*3. Solve -c + 3*l = -0*c - 4, -2 = -j*c - z*l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 3*j**2 - 3*j + 4. Suppose 397*f - 2 = 398*f - 4. Give w(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**2\/2 - 109593*o + 12942417\/2 = 0.\nAnswer: -73121, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25560 - 490 = -10*q. Suppose -39*j + q = -34*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 + 76. Sort 2\/23, -2\/5, z in descending order.\nAnswer: z, 2\/23, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -7. Suppose 5*t + 12 = 2*t. Let s = t - q. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16490 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310*r - 62*r - 248*r + 93*r**3.\nAnswer: 93*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37926 and 338324.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4514685, -9029370, -13544055, -18058740?\n\"Answer: -4514685*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*p - 1145, -p + 391 = 5*b - 6*b. Does 19 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 8*n - 8 = 0. Let k(o) = -o**3 - 3*o**2 - 4*o - 6. What is the tens digit of k(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(209) - 6*(sqrt(209) + (sqrt(209) - 3*sqrt(209) - sqrt(209))))\/(sqrt(275)*-3))**2 + -4)*2.\nAnswer: -9244\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20.764535 and -10?\nAnswer: 10.764535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3)\/(x\/((x*x**(-5)*x)\/x*x))*x**(4\/5)*(x\/((x\/(x**(3\/5)\/x*x))\/x))\/x*x)\/((x**(2\/7)\/x**(2\/9))\/(x**(-2\/7)\/x*x*x**(7\/5)*x)) assuming x is positive.\nAnswer: x**(352\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -69 and 5.7.\nAnswer: -393.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b*o*q**2 - 20*b*o*q + b*q**2 + 4*b*q - 182*o*q - 2*o - 6*q**2 wrt b?\nAnswer: 4*o*q**2 - 20*o*q + q**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 171 - -73. Suppose 0 = -4*a + 3*a + c. Calculate the remainder when a is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*h + 28 = 0. Suppose c - 19 = 3*m, -h*c - 4*m = c. Solve -2*g = -0*y + y - 11, -c*y + 5 = -5*g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 24*f + 8*f + 56, 26*f + 46 = 5*n + 29*f for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000295 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8909666s in days?\nAnswer: 0.0000218861875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 64 + 13 = -5*b, 2*b = -4*y - 86. Put 3\/4, y, 2\/5 in increasing order.\nAnswer: y, 2\/5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 67, 137, 277, 487, 767, 1117?\n\"Answer: 35*k**2 - 35*k + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 13*v**3 + 3*v + 3. Let j = 135 + -130. Let h(o) = -25*o**3 - 5*o - 5. What is j*f(g) + 3*h(g)?\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.394 - 1.894. Let t = -1 - -1. Which is the third smallest value? (a) s (b) 2 (c) t (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79389156.\nAnswer: 2, 3, 7, 11, 151, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 9*s + 2*i - 4166, 3*s - 3125 = -i. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-9) - (-300)\/(-252)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**3*o*z**3 + 13*i**3*o*z + 121*i**2*o*z**3 + 44*i**2*o*z**2 wrt z?\nAnswer: -12*i**3*o + 726*i**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -14\/5, 10 in ascending order.\nAnswer: -14\/5, 0.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 39*r**3 + 4*r. Let g be q(-2). Let y = 53 - g. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/10))**17*(p\/(p*p*p**(-2\/21)))**(7\/2) assuming p is positive.\nAnswer: p**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7403384, 7403409, 7403434, 7403459, 7403484?\nAnswer: 7403509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -1\/3, 1\/21, -463?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -79*t**5 - 8*t**4 + 91*t. Let w(q) = 53*q**5 + 5*q**4 - 61*q. Let n(r) = -5*p(r) - 8*w(r). What is the second derivative of n(x) wrt x?\nAnswer: -580*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1513854 is divided by 443.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from ivdesyyv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert d12c (base 14) to base 3.\nAnswer: 1211020221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17247501 by -556371.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/225 and (-4792)\/(-3850) - (-1400)\/(-1225).\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -357 and -0.618.\nAnswer: 220.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 1122093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + -49 - -32) + 26.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 51774567 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**2 + 1\/6*v**3 - 6*v + 0 + 5\/4*v**4. Calculate the remainder when s(-2) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*4*6)**2.\nAnswer: 793152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsu when three letters picked without replacement from {a: 1, u: 8, s: 3, h: 2, r: 2, q: 4}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**22*i*i**(-2\/3) assuming i is positive.\nAnswer: i**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1 + 262\/264). Suppose -11*p = -6*p - 1555. Suppose 4*b = -0*b + 2*w + j, 3*b - p = 5*w. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7658 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8798 and 5.\nAnswer: -43990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1617702 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*x - 206*x = -4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (741\/(-9))\/(1\/(-18)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27182422 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 8*t - 6. Suppose 0*f - 5*f = -10. Suppose -x - f*x - 15 = 0. Determine a(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/42*1964\/(-721279))\/(2\/14).\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, 119, 624, 1637, 3332, 5883, 9464, 14249?\nAnswer: 20412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86573 is divided by 410?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32\/12)\/(1 - 82\/84). Suppose 0 = -6*k + i + 86. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574890?\nAnswer: 2, 3, 5, 19163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*o = -0*o + 2, 5*d + 4*o = -4. Let j be (2 + 0)*(d - 2). Sort j, 0, -2.\nAnswer: j, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v**2 - v + 1. Let q be x(1). Suppose -5*y + 15 = -q*g, 0 = -5*g - 3*y + 2 + 23. Solve -l = -g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 896 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1506499567.\nAnswer: 1279, 1177873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6396 and 1084356?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 10:20 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 349897663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 489.7 - 441. Let f = -49 + t. Put -1\/5, f, 3\/7 in descending order.\nAnswer: 3\/7, -1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6447 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 530\/(-7155) + ((-2152)\/(-12))\/(18\/(-2)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 2*o. Let a be i(0). Which is smaller: a or -2\/213?\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111 - -193. Let o = -78 + y. Suppose 2*d = 5*d - 4*q - 31, -q - o = 0. Solve -20 = w - d*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25\/548 - -9005\/2192. Calculate the common denominator of q and 37\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 0. Let g = -22 + 22.4. Which is the closest to r? (a) g (b) -0.1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2409178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100483, 109390, 118297, 127204?\nAnswer: 136111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(0 + 1 + 2)*(2*n**3 + 5*n**4 - 2*n**4 - 4*n**3).\nAnswer: 9*n**4 - 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -10188 != 2\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**(2\/9))\/(m**(2\/25)*m))\/((m\/m**(1\/17))\/m**(2\/11)))**(-1\/5) assuming m is positive.\nAnswer: m**(-16109\/210375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7540 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**4 - 183*p**3 + 186*p**3 - 5 - 14*p - p**4 + 4 to the form a*p**2 + j + u*p + t*p**3 + b*p**4 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -463?\nAnswer: 3\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1060 is divided by 597?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2711.82 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -2)\/(12\/84). Let h = 0 + n. Suppose h = -2*z + 3*z. What is the greatest common factor of 105 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13\/4 - 7\/4. What is the closest to 0 in i, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 212087\/107184 - -1\/2233. What is the common denominator of 41\/304 and m?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -312.4036882 to 1 decimal place.\nAnswer: -312.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*l + 12, 4*l - 3*a + 0*a + 12 = 0. Let v be (-216)\/l - 6\/3. Suppose -2*w = 3*w - v. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rp when two letters picked without replacement from rprpjrpnpjrrn?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66299334 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -108 - -132. List the prime factors of (d\/18 - 2)\/(4\/(-762)).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -254306 (base 8) to base 5.\nAnswer: -10311022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/6 and 4 + 4 + (-235)\/(-60)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 0*l - 1 - 2*l + 4. Let n be y(2). Let b be (-35)\/(-45) + -2 + 1. What is the third smallest value in n, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4157\/20 - 958\/5. Is 15 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163*y**6 - 242*y**2?\nAnswer: 19560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 600686 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 20 - d**3 - 4 - 8.\nAnswer: -d**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 10. Suppose 24 + 72 = x*b. Let f = b + -10. Solve 3*s + 14 = f*n, n + n = 5*s + 18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlg when three letters picked without replacement from gvlpvnnnnxgnnpnpng.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/30 + -12 + 12. Suppose w - 3*t = 2*w - 2, 2*w + 4*t = 4. Suppose -2*s = 3*a - 0*a - 15, 3*a - 15 = w*s. Which is greater: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 861*z**3 + 5859 wrt z?\nAnswer: 2583*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1069 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*(3 + -1 + sqrt(2057) + 2 + (1*(sqrt(2057) + 1 - sqrt(2057)) - sqrt(2057)) + 3*(-1 + sqrt(2057) + sqrt(2057))))**2.\nAnswer: 792*sqrt(17) + 222168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/3)*u*u*u\/(u*u**(-11)))**9 assuming u is positive.\nAnswer: u**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126 - -131.1. Let k = -0.09 + 5.09. Let f = k - m. Which is the closest to f? (a) -0.1 (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 13*n**2 + 16*n + 42. Calculate k(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(6*(sqrt(684) + 2) + 1)*6)**2 + -2.\nAnswer: 1213056*sqrt(19) + 32131726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 37 + 1. Let f = -24 + o. Let u(l) = -l**2 - 5*l - 1. Let q be u(f). Which is smaller: q or -6\/17?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2) + 13\/2. Suppose y - 25*s = -14*s + 11, 0 = -3*s - 3. Let z = -3 - -3. Solve -5*x + 2*a - o = y, z*x = x + a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1000100100011010000010011001?\nAnswer: 1000100100011010000010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2588 = -120*c + 3216 - 1364. Calculate the remainder when 1921 is divided by c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**3\/3 + 13648*i**2\/3 - 1928660*i\/3 + 69618056\/3 = 0.\nAnswer: 73, 3266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20404976 divided by 64984?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(4 + 1 + ((-2 + sqrt(1539))*-1 - (sqrt(1539) - (sqrt(1539) - sqrt(1539)*1))**2*-5))*1.\nAnswer: -154040 + 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30.108 + 1.548. Round t to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -4*c - j, 5 = -j + 8. Let n be (2*c\/(-8))\/((-15)\/(-40)). Which is smaller: -13 or n?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1539429439 by -521.\nAnswer: -2954759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 - -1.01. Let x = -71 - -68. Which is the closest to x? (a) -5 (b) w (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20358.5 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 889687 times -183\nAnswer: -162812721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 13 + 3 = 0. Suppose -430 = -2*h + q. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/10*(-360)\/(-8190)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10324 + 9804 = 16*k. List the prime factors of k.\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 254 and 20574.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.18934128 to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k, -2*b + k = 0. Let h = 16 + -15. Sort b, h, 4.\nAnswer: b, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 16.748. Let k = z - 0.252508. Round k to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*(5*sqrt(114) + sqrt(114)) - sqrt(114)) + sqrt(114))*-6*-4)\/(sqrt(24)\/sqrt(4)*3 + sqrt(6) + 6*(-2*sqrt(6) + sqrt(6))).\nAnswer: -288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 551038734 to the nearest integer?\nAnswer: 23474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 11, 259\/4, 2\/11, 78?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 478187041 to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)*4 + sqrt(45)\/(sqrt(3)*-2))\/((sqrt(3) - (sqrt(432) + (sqrt(432) - (2*sqrt(432) + sqrt(432))) + sqrt(432)))*-2).\nAnswer: -31*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(245) + -2)*1 + -1*1*sqrt(245) + -3)*4 + -3)**2.\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-113)\/14)\/((-18)\/(-315)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 0 - -13)*6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-8*y - 8*y + 10*y) + y + 3*y - y + 3*y - y - y + (-2*y + 1 - 1)*(1 - 1 + 1) + 3*y - y + y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g**(-21))\/g*g)*g**(-8\/9))\/(g**(-13)\/(g**6\/g)))**41 assuming g is positive.\nAnswer: g**(14063\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 - 7.57. Let v = t - -37.6. Let z = 25 - v. What is the biggest value in z, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1905 divide 7090410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 18*(-1 - -2)*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1261 and 67027?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15921 + 15921.00014747. Round h to six decimal places.\nAnswer: 0.000147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1091365\/(-40))\/(-11)*8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 19. Let f(c) = -c - 1. Let k be f(-4). Let o = d + k. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68612, 274454, 617524, 1097822, 1715348, 2470102?\nAnswer: 3362084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -70 - 51 + 141 - 144*a. What is the tens digit of z(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2269 = -5*v, -4*f + 1136 = -4*v - 1136. Let l = -230 + f. Calculate the remainder when l is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16745073*i**5 + 2*i**2 - 2*i - 5787570 wrt i?\nAnswer: -1004704380*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (7 - 15) + 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2138 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -259.6 - -259.2. Put 3, o, -72\/5, 0.3, 5 in ascending order.\nAnswer: -72\/5, o, 0.3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 15*k + 426. Calculate m(-27).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*s - 26. Let z = s + -11. Sort -7, z, 0.\nAnswer: -7, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2\/3, -3, -651, 0.5 in descending order.\nAnswer: 0.5, -0.1, -2\/3, -3, -651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 4*o + 28 + 76, -5*o = 4*z - 99. What are the prime factors of z\/(1705\/53400) - (-2)\/22?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.057 (b) -5 (c) -1\/4 (d) -2\/25 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -2 (c) 1 (d) -257\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*c - 35*c + 352 - 352.\nAnswer: 104*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*(2 + 1*sqrt(833) + 4 + (sqrt(833) - -3*(sqrt(833) - (sqrt(833) - (sqrt(833) - (sqrt(833) - sqrt(833)*-2)))))) + 4)**2.\nAnswer: -224*sqrt(17) + 13344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28257716.\nAnswer: 2, 29, 47, 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 10) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5514112 and 60352.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154992.\nAnswer: 2, 37, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 + 195546844*v - 14339463074385126.\nAnswer: -2*(v - 146660133)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**2 - 57*u + 12. Let b be j(8). Suppose -4*t = -8, -8*w = -7*w + b*t - 50. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a**3 - a**2 + 2*a - 1. Let g(l) = 2*l - 3. Let x be g(2). Let z be 4*((-1)\/(-4))\/x. Determine n(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(-1*sqrt(9)*-4) + (sqrt(140)\/sqrt(5))\/sqrt(4) + sqrt(7) + 2 + sqrt(63))**2.\nAnswer: 21*sqrt(7) + 3151\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 4*p**5\/5 + 7*p**4 + 68*p**3\/3 + 34*p**2 + 24*p - 429. Solve h(c) = 0 for c.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/11 + 129456*z\/11 - 20373890\/11.\nAnswer: 2*(z - 157)*(z + 64885)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 6)*((-96)\/(-56))\/(-3) - (-6420)\/(-210)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -67*b - 1376. Calculate the least common multiple of d(-24) and 464.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302680?\nAnswer: 2, 5, 7, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 345 - 340. What is the nearest to 2 in p, 14, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j + 21. List the prime factors of q(-15).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 f, and 2 z when four letters picked without replacement from {p: 2, f: 2, c: 10, z: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3808 = -2*t - 11*z, 5*t + 40*z = 36*z + 9520. List the prime factors of t.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 515, -43, 0 in descending order.\nAnswer: 515, 2, 0, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (435\/(-290))\/((-3)\/1)*72. Factor d*w + 0 + 1\/4*w**3 + 6*w**2.\nAnswer: w*(w + 12)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -453356?\nAnswer: -453356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 713368 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -12, 8, 48, 114, 212, 348?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1447 (base 9) to base 6.\nAnswer: 5024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 2, 7, 10, 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 13*i - 21. Let g be h(5). Let a = 56 - g. Suppose c + 5*v = 27 - 7, -3*c = 3*v - 60. Calculate the remainder when c is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1518 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(187))\/sqrt(11) + -3 - (-4*sqrt(153)*-1 + -3))**2.\nAnswer: 8228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 + 69. Suppose m = -0*o - 5*o. Let i(k) = -k. Let h(c) = c**2 - 6*c + 1. Give o*i(t) + h(t).\nAnswer: t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*t + 15 = 57*t. Suppose t + 12 = q. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -8) + ((1 - -13) + -7 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*i**3 - 7*i**2 + 7*i**2 + 9*i**3.\nAnswer: 39*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/11)*k**6)**30*((k**(-1))**(-31\/3))**(-4\/7) assuming k is positive.\nAnswer: k**(46516\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11338 a factor of 1860506589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5 = -4*c, 2*a = -2*a - 2*c + 10. Solve -3*n + 4*j - 18 = 0, 15 = -2*n - n + a*j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8 + 8 = 0. Suppose 4*v = 6*v - k. Factor 1\/2*x**3 - 1\/2 + 1\/2*x**v - 1\/2*x.\nAnswer: (x - 1)*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 33*t**2 - 125*t - 148. Determine h(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3544 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*o + 2132 + 376 = 132 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 - 46\/((-4)\/4). What is the remainder when 6508\/y - (4\/(-13))\/(-2) is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/135*-9 - 14\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*x + 5. Let g = 246 + -231. Solve g = -v + x*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4\/(x\/x**(3\/2)*x))**(2\/5))**(-11) assuming x is positive.\nAnswer: x**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -0.3. Let t = -0.066 + -50.934. Let p = 51.4 + t. Which is the closest to -1? (a) p (b) k (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 3 - 4 - 2*u)*(1807 - 34*u + 1802 - 3614).\nAnswer: 68*u**2 + 44*u + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -196 + 200. Differentiate -12*r + 459 - 2*r**3 + 2*r**3 - 513 - r**t wrt r.\nAnswer: -4*r**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21987870*s*w**2 + 9917600*s - w wrt w?\nAnswer: -43975740*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11111111 (base 2) to base 9\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.34 + -0.326. Round h to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -12, 119371, 2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40015 is divided by 315?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-56574)\/(-1428) + 2\/(-17) and (162\/(-280))\/(22\/55)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 a, and 1 v when three letters picked without replacement from qxwwvaqavqaqqxxwqxxx?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 5*u**2 - 6*u + 3. Let f be r(-3). Suppose 35 = 4*q - f*g, -g = -2*q + g + 20. Solve q*h = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5282a + a?\nAnswer: -52820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 3. Let l(g) = -2*g**3 + g**2 - 1. Let d be l(1). Let c be b(d). What is the derivative of -2 + 6 - c - t wrt t?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4 - (-3 - -2 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.2 + 15. Let x = -3 - -3. What is the closest to x in -3, 2\/15, g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-448)*-96)\/(34\/4).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(252)\/sqrt(7))\/(-2*sqrt(243) + sqrt(3)).\nAnswer: 2*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1602*q + 879*q - 10845 = 0 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = -57*r + 34*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 12*p - 45 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43576503*c**3*u - 781146*u - 6 with respect to c.\nAnswer: -130729509*c**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -109048.2046 to the nearest 1000.\nAnswer: -109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/7385 and 61\/2110?\nAnswer: 14770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -429 + 387. Let b be 3 + ((-3)\/(-9))\/(10\/(-30)). Which is smaller: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158253 is divided by 39562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35432257561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 59*c**2\/2 - 2*c - 957. Let t(f) = 11*f. What is q(t(l))?\nAnswer: 649*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = r, -2*t + 7*t + 4*r = 58. Suppose -4*j - 4 = 2*d, 8*j = -4*d + 3*j - 5. Suppose d = -3*p + 6*p - 24. Solve 33 = 5*c + p, 0 = -3*b + 4*c - t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -44. Solve 0 = -4*s + 8, 2*s + n = v + 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1869978\/(-88))\/((-18)\/24).\nAnswer: 29, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + sqrt(90)\/sqrt(5)) + -4 + 0 + sqrt(6)\/sqrt(3) + 3)**2.\nAnswer: -260*sqrt(2) + 369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 0.5, -26, 3, -1\/3.\nAnswer: -26, -0.6, -1\/3, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 - 5*s + s - s - 2. Suppose -4*x - 6 = 2*b, 3*b + 2*x - 1 - 2 = 0. Let j(l) = l - 5*l + b*l. Give -6*j(i) + p(i).\nAnswer: 2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(176)\/sqrt(4)*-3.\nAnswer: -6*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 4104*z**2 - 5606064*z - 2554497791. Let b(a) = -a**2 + a + 24. Let q(f) = 3*b(f) - h(f). Factor q(k).\nAnswer: (k + 1367)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -4.5, 0.1, 0, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 3*l. Let c(k) = k**2 + 2 - k**2 + 2*k**l + k - 2*k**3. What is the remainder when 70 is divided by c(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p + 3. Let v = 4 + -1. Let l(d) = 8 - 3 - 3 + d + 3*d. Give v*u(o) - 5*l(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1100725 rounded to four decimal places?\nAnswer: -0.1101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -4\/7 (c) 0.4 (d) -6 (e) -2\/477 (f) -5\/2 (g) -0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(425) + sqrt(425) + 0 - (sqrt(425) - 3*-2*sqrt(425))) + 2)*1)**2.\nAnswer: -140*sqrt(17) + 20829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -73, 16\/7, -0.13?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -14) + (6 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 365.0263 - 365. What is t rounded to 3 decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.067 - -0.067. Let o = -0.7 + 4.7. Which is the closest to n? (a) 0.1 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104890.\nAnswer: 2, 5, 313, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/2 - 9987*d**4\/2 + 39912*d**3 + 39964*d**2 - 478920*d - 718488 = 0. What is d?\nAnswer: -2, 6, 9979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*x**3*y**4 - 2270*x**3*y**3 - 52520*x**3 wrt y.\nAnswer: -48*x**3*y**3 - 6810*x**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -3) + 10 + -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/2 (b) -0.36 (c) -15 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 193 (base 11) to base 14\nAnswer: 11d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-10))\/(24\/(-1980)). Let w = k + -40. Let v = w - 1. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1652, -3297, -4944, -6593, -8244?\nAnswer: -9897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 3:56 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 637975 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 12.9535412878284.\nAnswer: 16.9535412878284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7086 + 49412 - 5371 = 19*o. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 14*t - 21. What is y(-10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3155*n**4 + 6353*n**4 - 3199*n**4 - 21*n**2 + n to o*n + q*n**3 + r + l*n**4 + z*n**2 and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 8 = -4. Let t(i) = -i**2 - i + 6. Let j be t(b). Is j greater than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 8*i - 2840 = 0. Suppose i = 4*h + 76. Suppose 5*l + h = 4*o, 0*o - 2*o + 3*l + 63 = 0. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/4)\/(3\/30). What is the greatest common divisor of 60 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6647?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u. Let y(j) = -129988416*j. What is i(y(c))?\nAnswer: -259976832*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvxxdxxdv. What is prob of sequence xvv?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/((l*l*l**(2\/7))\/l)*l**(2\/19)*l**(1\/3)*l*l**(-6) assuming l is positive.\nAnswer: l**(-1934\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 + 140 + 583)*(2*x - 4*x + 3*x + (-x + 4*x - 5*x)*(1 - 5 + 2) + x + 3*x - 5*x + 5*x - 2*x - x + 4*x + 5*x + 0*x + (-3 + 1 + 4)*(-x + 0 + 0)).\nAnswer: 9945*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 372\/48 - 22\/8. Solve -3*q - y + 3 + 12 = 0, l*q - 17 = y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9221723*4\nAnswer: 7.6886892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppj when three letters picked without replacement from {x: 4, p: 3, j: 1, y: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239 - 7*x - 479 + 0*x - 7*x + 241.\nAnswer: -14*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -571, -11 in ascending order.\nAnswer: -571, -11, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184 = 29*u + 41*u - 24*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from {f: 1, k: 2, v: 1, a: 2, z: 2, q: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/u**(-4\/11)*u)**43\/(u**30*u*u**(1\/57)) assuming u is positive.\nAnswer: u**(98200\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -367 by -367.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + o**2 + 1. Let x(s) = -4*s**3 + 3*s**2 - s + 1. Let k(i) = 2*w(i) - x(i). Let a be (1 - 2)\/(-1 + 2). What is k(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a centimeter in micrometers?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4 - 1.4. Which is the smallest value? (a) -2 (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -171, -262, -367, -492, -643, -826?\nAnswer: -1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1833 and -49\/45.\nAnswer: 27495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 273848*t + 47779 wrt t?\nAnswer: 273848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, r: 3}. What is prob of picking 2 r and 1 n?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 893355498*q - 1786710991*q + 893355497*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 303266 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 399*t - 534*t - 1259*t - 483*t in the form v + p*t and give p.\nAnswer: -1877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13117711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 132 + -50. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -487699 divided by -242?\nAnswer: 487699\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -695 and -4.\nAnswer: -699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -787, -6312, -21329, -50584, -98823, -170792, -271237?\n\"Answer: -791*b**3 + 12*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*i + 8 = 0, 0 = -3*u - 2*u - 3*i - 11. Suppose 0 = -3*g + 2*g + d - 4, -3*g + 4 = d. Suppose 3 + 3 = -2*q. Sort g, u, q in descending order.\nAnswer: g, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 4576*x.\nAnswer: -2*x*(x + 2288)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -200. Suppose 0 = 2*x - 5*j - f, x - 2*j - 68 = 27. Calculate the highest common factor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 51173, 55292, 62159, 71774?\n\"Answer: 1374*m**2 - 3*m + 49802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1323187*j**2*p**2*v**3 + 2*j**2*p**2 - j**2*p*v**2 - 31*j*v**3 - 33*p*v + p + v**2 wrt p?\nAnswer: 2646374*j**2*v**3 + 4*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((1 + -2)\/(-1))\/((-32)\/(-1312)) is divided by (7 + -5)*9\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*i**3 + 604*i - 604*i - 2*i**3 - 2*i**3 + i**2 - 2*i**2 + (4*i + 1 - 1)*(3*i - 3*i - i**2).\nAnswer: -29*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10) - (-44)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (6 - (-11 + 25)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7628 - -11732. Is p a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0092295405 to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -30.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + 44\/(-12))\/1. Let y be 5 - (6 + -2 + -2). Suppose 4*h = y + 1. Which is the nearest to 0.1? (a) -1\/7 (b) h (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163.5 - -164. What is the smallest value in -1, y, 0, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/6)\/(5\/(-3)). Let k = -11050 - -11050.5. Is a > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**3 - 1500*q**2 - 39140*q + 84240 = 0. What is q?\nAnswer: -26, 2, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*q, 0*b - b = 5*q - 20. Suppose -4*z + 9*z = 3*l, 0 = -q*z. Which is smaller: l or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -6*x + 8. Suppose -5*f = -3*j - 14, 3*j = -0*j - x*f + 26. Solve -j*d = -8, -3*s - 5*d + 0*d + 14 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 19*o + 65. Let v be t(-4). Which is smaller: -82\/3 or v?\nAnswer: -82\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 2*i = 5*n - 52, 289*i - 286*i - 39 = 3*n for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -84123*f - 49220 wrt f?\nAnswer: -84123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a millennium?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -1aaab353?\nAnswer: 1aaab350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*h**2 + 79608465767 - 79608465767 - 253*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1360)\/(-408)*4\/40\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8796087708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2290*a + 403 = -2303*a for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2601, -21431, -72555, -172119, -336269, -581151?\n\"Answer: -2691*y**3 - y**2 + 10*y + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3214 - -22502\/7. Which is the third smallest value? (a) -3\/29 (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1634.684 - 1638. Let b = d + 2.75. What is b rounded to 2 decimal places?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 13 - 2*a - 12 + 2 to q*a + t and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10358 * -0.05.\nAnswer: -517.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.28, -276, 0.06 in descending order.\nAnswer: 0.28, 0.06, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112012202 (base 3) to base 16.\nAnswer: 755c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -1 + 0)*3. Solve n - 3*h - 8 = 0, 3*h - 1 = -5*n + y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 + 4*u**4 + u**3 - 4*u**4)*(1 + 0 + 0)*(-33*u - 9*u - 7*u).\nAnswer: 49*u**5 - 49*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110011010011 (base 2) in base 9?\nAnswer: -42184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -74, -166, -258, -350?\n\"Answer: -92*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3\/2, 4, 19\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 - 24211031?\nAnswer: -24211105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: -0.01 - -33983415755\nAnswer: 33983415754.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 10. Let c(g) = -2*g**2 + 4*g + 1. Let l be c(3). Let q be m(l). Let i = 106 + -106.5. What is the nearest to -1\/3 in i, -4, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/(m\/(m*m**(-2\/3)\/m*m)))\/(m\/(m*m**(-3\/2))*m**1) assuming m is positive.\nAnswer: m**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 139 - 46)*(-j**2 - j**2 + 5*j**2)*((-2*j - 4 + 4)*(-4*j + 4*j + j) + j**2 + 3*j**2 - 3*j**2 + 0*j**2 - j**2 - 2*j**2 - j + 4*j**2 - j - 3*j**2).\nAnswer: 1260*j**4 + 840*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10572 - -10571.5001. What is f rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 885\/285 + ((-18)\/(-12))\/((-2)\/4). Which is the smallest value? (a) h (b) 3 (c) -196\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 7*m**2 + 9*m - 6. Let p be v(6). Suppose s = -3*a - a + 18, 0 = -4*s - 5*a + 72. Calculate the remainder when 17 is divided by p\/(-9)*s\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1419)\/(-9) - (-5)\/15. Suppose 0 = -5*m - 4*c + 241, -c + k + 86 = 5*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*k - 3238. Suppose 0 = -3*y - 4*c + 4832, 2*y - y + 3*c = k. Suppose j + y = 5*j - 4*t, 0 = -3*j + 5*t + 1211. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.277825402 + -123.722123598. Let y = 123.955 + 0.045. Let w = y + l. What is w rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-4)\/(-10))\/(2\/(-40)))\/(-2). Solve -9 + d = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7125091180?\nAnswer: 2, 5, 3701, 96259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 772*v - 171. Calculate g(0).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 10 = 0, 5*q = -3*o - 43 + 15. Let k = 0.1 - 0.7. Which is the closest to 0? (a) -1\/3 (b) o (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7237 times -25?\nAnswer: 180925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*h**3*j - 986*h**3 - 32*h**2*j wrt j.\nAnswer: 23*h**3 - 32*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -668*v + 670*v - 122 = 0. Calculate the remainder when v is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61766311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2. Let i(v) = -6*v - 2*v + 2*v + 2*v. What is i(c(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.44431*-0.231.\nAnswer: 0.10263561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3151 + -0.0617. What is w rounded to 2 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 4*w + 9. Let k(h) = 3*h**2 + 12*h - 26. Let z(n) = -11*j(n) - 4*k(n). What is z(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2162*j = -24080 - 25646 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -64.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 7. Suppose j + 0*k + 4 = 2*k, 8 = -j + 4*k. Let z(q) = -q**3 + q**2 - 4*q - 5. Let r be z(j). Which is the nearest to 1? (a) r (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8194940825904 and -0.28?\nAnswer: 8194940825904.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.126 in -2, 0, 5, 4332?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11400830 and 70?\nAnswer: 11400830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 21 = 79. Let l be (-424)\/v*2 - -4. Let g = 10894\/235 - l. Is g != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94.2 - -99.2. Put 0.4, 0.09, -1\/2, x in decreasing order.\nAnswer: x, 0.4, 0.09, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z**3 + 33*z**2 + 9*z - 18. Calculate n(-6).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78414648*h**2*i**3 - 1783*h**2*i**2 - 17682*h*i**2 wrt i?\nAnswer: 470487888*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 9*o + 14. Let i(d) = -d**2 - 9*d - 15. Let h(a) = 7*f(a) + 6*i(a). What is the remainder when 23 is divided by h(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**4 - q. Let b(a) = -12*a**4 + 2*a - 16. Let g(p) = -b(p) - 2*m(p). What is the derivative of g(o) wrt o?\nAnswer: 56*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -17. Suppose c*q = -3*i + 2406, -3*q = q - 5*i - 2390. Round q to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5178 + 5177.7778. Round h to three dps.\nAnswer: -0.222","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 12*b - 50. Calculate u(24).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, r: 6, d: 2}. What is prob of sequence rodr?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 - 133*v**3 - 4218*v**2 + 13600*v - 9248.\nAnswer: -(v - 2)*(v - 1)*(v + 68)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2 + ((-370)\/(-148) - ((-485)\/22)\/(-5))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1580 (base 10) to base 16.\nAnswer: 62c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 3*t + 7. Let x be g(-4). Solve 5*o + 24 = -x*p, 0*o - p + 9 = -4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.35309965 + -15.64690026. Let u = -16 - f. What is u rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1761*w**3 - 1760*w**3 + 3522*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.52401 to two dps.\nAnswer: 24.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -4*g + n - 266, 5*n = 5*g + 220. Let m = 115 + g. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/7809 + 13019\/15618. Let r(d) be the third derivative of -1\/24*d**4 - 6*d**2 + 0*d + p*d**3 + 0. What is r(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4264\/(-598))\/41)\/2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-4)\/6*3. Let h = -4 - g. Let l = h - -4. What is the nearest to 0.1 in 3\/8, -2, l?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u + 5. Let w be v(8). Suppose -7 = d - w. Let k be (-3 - d\/(-6)) + 1. Which is the closest to k? (a) 5 (b) 0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wffj when four letters picked without replacement from {k: 9, f: 2, b: 2, j: 1, w: 3}?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 32. Let d = w - -21. Let i be (-448)\/128 - (-14)\/4. Solve 0 = -4*p - i + d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 71, -1685, 2\/11, -2, 4\/7, 4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -14*j + 6672. List the prime factors of j.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prrl when four letters picked without replacement from {r: 3, u: 4, p: 6, l: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 15 = 0, 5 - 23 = 3*h + 3*k. Let y be 2 + h + (-6)\/(-3). Solve z = 2*z + y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20056, 20359, 20674, 21007, 21364?\n\"Answer: v**3 + 296*v + 19759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2678 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - y - 77*y**3 + 80*y**3 + y.\nAnswer: 3*y**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from sssvssssvs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6544881 and 4851.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.042271415 rounded to 3 dps?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*((-2)\/(-4) - 0). Suppose -3*w = -4*h + 23, b = w + 8 - 3. Suppose -420 = -108*g + 12. Are g and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + (-222)\/8 + 1. Let v = y - -33. What is the common denominator of v and 5\/406?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, j: 1, q: 2, c: 2}. Give prob of picking 1 q and 2 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 799\/303620*8\/(-1).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -7. Let k = n + 8. Let q = k + -6. Which is the second biggest value? (a) q (b) -0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1001 = 72*d + 583 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2607840 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 27*f + 25. Let r(k) = -24*k - 24. What is -3*m(j) - 4*r(j)?\nAnswer: 15*j + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/c**4*c**(1\/5))**(-36) assuming c is positive.\nAnswer: c**(144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1)*(165\/(-20))\/(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -24. Let i = 78 - 71. Calculate the remainder when j is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 + 676*t - 35076. Give l(274).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*t - 36 = 297*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/w**(-6))\/(w**(1\/5)*w\/(w\/w**(3\/5))) assuming w is positive.\nAnswer: w**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o**3 - 1786*o**2 + 6160*o + 2326575. Determine s(-357).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27853.18l?\nAnswer: 27853180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o**2 + 3*o. Let x be d(-3). Let m = x + -58. Differentiate 8 + m*u - 4*u + 6 + 4*u with respect to u.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(1\/4)\/p*p))**31*(p*p*p\/p**(2\/7))\/(p*p**(-3)))**(-30))**(-14\/5) assuming p is positive.\nAnswer: p**2349","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 17.290437.\nAnswer: -1.7290437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 14873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -3, 54?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 296*u**2 + 21*u - 10. Is r(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -5, 408, -224\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213310312 (base 5) in base 7?\nAnswer: 33250523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -13. Let i = 6 + -4. Suppose 7 = -0*k + i*k + 3*o, -k = -4*o + 2. Solve 0 = a - k - u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2014435 (base 9) in base 13?\nAnswer: -2b7357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 - 1. Let f be o(-1). Suppose 0*m - f*m + 81 = 0. What is the greatest common factor of m and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccacaccccc. Give prob of sequence caca.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 8 = -1. Let h be v - -3*23\/(-6). Let l = 179\/14 + h. Which is the biggest value? (a) l (b) 3\/7 (c) 2\/17 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-5340.617\nAnswer: -16021.851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34234051 to the nearest integer?\nAnswer: 5851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/21)\/(6\/(-90)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -46052624 divided by -529\nAnswer: 87056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 1587.\nAnswer: 3174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14527861 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6 - 275 = -5*r, 4*r - 2*i - 216 = 0. List the prime factors of r.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147575 + 350909?\nAnswer: 203334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*b**3*c**5 + 8*b**3*c**4 - 132*b**3 + 2*b*c**2 wrt c.\nAnswer: -960*b**3*c**2 + 192*b**3*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125.2 + -125. What is the nearest to 2 in r, -2\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29604?\nAnswer: 2, 3, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 9912 = 2728. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + 1da?\nAnswer: 1cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 143233241 - -113?\nAnswer: 143233404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -1 + 4*6. Suppose 0 = 4*h + 3 + 5, -4*h = -4*z + d. Suppose -9*n = -z*n + 240. What is n rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t - 9 - 2 - t**2 - 16*t. Let k be o(-13). Suppose -2*r = 6*v - k*v - 16, -5*r + 24 = 2*v. Solve -r*f + 7 = i, 5*i + 0*i = -4*f - 13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 1)*(-61*d**3 + d + 5*d**5 + 61*d**3).\nAnswer: -15*d**5 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h + 13*h - 20*h - 4*h + 2*h + 82*h - 19*h.\nAnswer: 41*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 249*o**4 - 629 - 681 + 1198. Let q(u) = -249*u**4 + 112. Let t(a) = -2*q(a) - 3*v(a). What is the first derivative of t(b) wrt b?\nAnswer: -996*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 417250294*a**2 - 251533066*a wrt a.\nAnswer: 834500588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(277*o - 31*o + 17*o)*(25*o**2 - 16*o + 16*o).\nAnswer: 6575*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 12*b + 21. Calculate r(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**6\/12 + 2*l**3 + 12. Let s(x) be the third derivative of k(x). Let y(w) = -w. What is s(y(b))?\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -81, -91, -105, -123, -145, -171?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/207467285 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4025 or 16159?\nAnswer: -4025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/11874 and 17\/9.\nAnswer: 35622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291 + 288677412732.\nAnswer: 288677413023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16640)\/(-160)*(-2)\/(-13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 19*g = 14*g + 27, c - 9 = -g. What is the units digit of 57904\/44 + c + -1*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*i**4 - 46*i**4 + 92*i**4 + i**2 - 4*i**2 - 9*i - 2*i**3 as x*i + a*i**4 + s*i**3 + g + o*i**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4 - 2\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxv when three letters picked without replacement from {p: 4, k: 4, v: 1, x: 6}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 311324 (base 5) to base 3\nAnswer: 112000022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**4\/14 + 26*u**3 + 1611*u**2\/7 + 4806*u\/7 - 6937. Factor f(a).\nAnswer: 2*(a + 3)**2*(a + 267)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-10)\/12) + (-174)\/58.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.10317 milliseconds in minutes?\nAnswer: 0.0015517195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 260 (b) 0.07 (c) -3\/5 (d) 2.87 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -239\/4 + 60. Let m(x) = x + 7. Let v be m(-9). Put v, c, 2 in decreasing order.\nAnswer: 2, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/(-2)*(-19)\/76.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 525010*a**3*h - a**3*o + h*o + 74*h - 7*o + 171 with respect to a.\nAnswer: 1575030*a**2*h - 3*a**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2792028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/1980 and -43\/3300.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 201 = 939. List the prime factors of r.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 - 169?\nAnswer: -169.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1940082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w + 4*w + 4*w. Let j(b) = -12*b. Let o(g) = 3*g. Let v(h) = -3*j(h) - 11*o(h). What is s(v(a))?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -7*q + 8*q, -3 = x - q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 797714, 1595416, 2393118, 3190820, 3988522, 4786224?\nAnswer: 5583926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 8*x + 30. Suppose -3 = -3*z + x. What is the tens digit of (-48)\/(-28)*21\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 - 49*l**2 - 112*l - 39. Let i be k(-22). Solve -2*n = -4, i*n - 37 = r - 32 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - (-5 + 3)) + (-2 - -1) + -508 + 513\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - v + 6 = -10, -6 = 2*a - v. Let g be 29*(-2)\/3*-4. Let x = g + -78. What is the closest to 1 in a, -3\/5, x?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v. Let t(a) = -14*a + 5. Let q(d) = -99*d + 36. Let g(b) = -5*q(b) + 36*t(b). Calculate g(n(s)).\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b4cc8 (base 13) to base 11\nAnswer: 202322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n + w - 30, 0 = -2*w + 4. Sort n, -4, 1 in increasing order.\nAnswer: -4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 2. Let l be m(-2). Let i be (2 - l) + (-3)\/(-9) + -3. Is i at most as big as 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 13*h**2 - 6*h + 3. Let g be i(13). Let u = 79 + g. Differentiate -x**3 + u - 11 - 3 - 16 wrt x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(4400) - (sqrt(4400)*-3 - sqrt(4400)))\/(sqrt(4) - -2*sqrt(576))*2)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2 - 4578*m + 32193 = 0.\nAnswer: -1533, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1738708 is divided by 111.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -10*p**3 - 1198*p**2 + 237*p - 365. Determine i(-120).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*w - 264 + 44 = 0, -3*w - 15 = 0. Calculate the greatest common factor of 120 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29394*b**2*c**3*h**2 - 77*b**2*c**3 - 8*b*c**3 + 199*b*c*h**2 + 102*c*h - c - 2*h**2 wrt b.\nAnswer: -58788*c**3*h**2 - 154*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 0 + 2. Let o = 6 + -38. Is x\/(-3) - o\/6 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-1 - -2) - 175\/225. Let p be 2\/2 - (-1 + -4). Suppose -25 = p*r - r. What is the second biggest value in f, 1, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n**3 - 3*n**3 - n**3 + (-n**2 + 0*n + 0*n)*(-n - 3*n + 3*n) + (-n + 1 - 1)*(9*n**2 + 3*n**2 + 4*n**2).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(45) + -3)) + -5 - (-5*(sqrt(80) + 0 - sqrt(80)))**2.\nAnswer: -2*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u - 2. Let a be t(2). Find the common denominator of (-62)\/18 - (0 - a) and 119\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdy when three letters picked without replacement from {d: 2, x: 2, w: 1, y: 1, m: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -23484.87 to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621134824.\nAnswer: 2, 77641853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m. Let c(d) be the first derivative of -d**4\/3 + 15*d**2\/2 + 2*d + 30. Let o(k) be the second derivative of c(k). Give o(t(l)).\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -46, 18, 4, 5, 1.\nAnswer: -46, -19, 1, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqcn when four letters picked without replacement from {c: 1, n: 1, r: 1, q: 2, f: 1, v: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - a + 1. Let t = 6 + -4. What is the units digit of o(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -290, -292, -294, -296, -298, -300?\n\"Answer: -2*y - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*q + 944996, 5*w + 4*q = w - 756016. Let u be (w - -1) + 6 + -6. Round u to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(252) - sqrt(252)*-1 - sqrt(252))*5 + (3 + sqrt(252) + -3 + -2)**2.\nAnswer: -174*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4371567*q - 25542851 with respect to q.\nAnswer: -4371567","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.08 - -0.08. Let k = -1\/8 + 5\/8. Let y be -1 + (-3 - 39\/(-9)). Which is the nearest to y? (a) k (b) -1\/6 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, h: 2, p: 1, v: 1}. Give prob of picking 2 v and 1 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 12 = -3*m, 0*y = -m + 4*y + 4. Solve -m = -0*p - 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.102 and -4?\nAnswer: 0.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*r - 2564, 7*g - 872 = -r + 3*g. Let j = r + 274. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4151 + 4150.9. What is the nearest to 3\/8 in 2\/27, l, -0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -5*j**4 + 8*j**2 + 16*j - 997. Let z(a) = -a - 1. What is -r(f) - 16*z(f)?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*w + 4*g, 4*w = -2*g + 33 + 1. Suppose 0 = w*m - 520 + 520. Is m at most 1\/272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(((-25)\/5)\/5))\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)*1 + sqrt(198))\/sqrt(2) + sqrt(176)\/sqrt(4) + (sqrt(121)*-1)\/sqrt(11))**2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(75\/10 - 7) + (-1368)\/(-336)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 t when four letters picked without replacement from {t: 3, f: 5, e: 8}.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (780\/1430)\/((-12)\/(-22716892)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5*m - 902, h - m - 157 - 157 = 0. Calculate the remainder when h is divided by 85.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -955*x**3 + 513*x**3 + 436*x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*z = 10, z = -3 - 2. Solve 5*u + 22 = -3*o, -k*u + u - 4 = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(133) - (sqrt(133)*-2 - sqrt(133)) - sqrt(133)) + sqrt(133) + (sqrt(133) - -1*sqrt(133)*-2))\/((sqrt(7) - (sqrt(77)*2)\/sqrt(11))*4)*-4*2 + -2.\nAnswer: -2 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -656*g - 14 + 1288*g - 629*g.\nAnswer: 3*g - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (16\/(-18))\/((-1)\/(-6)) and 71\/(-12) - (-5)\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 3*c - 9. What is q(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 48 + 268. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 5*n = -o - 120, -90 = -5*o - 5*n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emeemum. What is prob of sequence mmm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -16. Let p = 35 - j. What is the smallest common multiple of 2 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 867140 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 16 = -5*n + 22, -29 = 3*x - 4*n. Let h(d) = 6*d - 3 - 6 - d**3 + 3*d - 5*d**2. Let m be h(x). Solve 4*q - 5*a + m = -2*a, q - 3*a = -11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 4\/6*39. Let z be (-4)\/14 - 176\/f. Let h = -2230 - -2227. Sort h, z, 4, 5 in increasing order.\nAnswer: h, 4, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.896512cm in kilometers?\nAnswer: 0.00009896512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/985980 and 43\/1084578?\nAnswer: 10845780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36752*j - 1523325 = 12638*j - 1417478 + 2980745 for j.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 20\/4 - 2. Suppose k - x = -j, 0*k - 2*k + 2*j + 26 = 0. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**2 + 19266*p + 154320 = 0. Calculate p.\nAnswer: -8, 6430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*b**3 - 927*b**3 + 194*b**3 + 205*b**3 + 339*b**3.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 123*f + 324*f - 12 - f. Let c be n(7). Round c to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/11 - 339092*r**3\/11 - 14372923058*r**2\/11.\nAnswer: -2*r**2*(r + 84773)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -758*m = -663*m + 172615000. What is m rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*j + 24*j - 12*j - 15*j**2 + 2 + 11*j**2 to the form r + c*j**2 + y*j and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 2*n**2 - 2*n + 1. Let z be v(1). Let x(t) = 4*t - 54. Let h be x(14). Calculate the highest common divisor of z and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*c. Suppose c = 6*x - 3*x - 75. Suppose -17 = -3*r + x. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmd when three letters picked without replacement from mujwdjddwduwgmwggu?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.2, 0.4, -5.853 in decreasing order.\nAnswer: 2, 0.4, 0.2, -5.853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1866 - -2879. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 - 118*u\/5 + 244\/5.\nAnswer: -2*(u - 2)*(u + 61)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -30986.\nAnswer: -45\/30986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + 6*sqrt(152)\/sqrt(4) - sqrt(342)*-3)\/(sqrt(288)*3*5))**2.\nAnswer: 304\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 568*k**2 + 5181*k + 502. Determine q(-9).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**31\/q**(-21) assuming q is positive.\nAnswer: q**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o + 16. Calculate the smallest common multiple of k(21) and 22.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 3:42 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h**3\/2 - 223*h**2\/2 - 121*h - 16 = 0 for h.\nAnswer: -16, -1, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**3\/6 + n**2\/2 + 4*n. Let l be h(1). Solve 14 = l*d + 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a**2 - 3*a**2 - 8*a**2)*(-6937 + 2*a**2 - 1381*a**2 + 6937).\nAnswer: 2758*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (-114 - 2)\/(-2). Let i = p + 19. Let v = -23 - i. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1860?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15\/2*c**3 + 21\/2*c - 9\/2 - 6*c**4 + 57\/2*c**2 = 0.\nAnswer: -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + m = 0, -2*j + 7*j = m. Let n = 40 + -7. Suppose -d + j*d = -n. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from {m: 4, u: 6}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 28. Let n be m\/18 - 1 - 1. Let z = 0.1 + -0.2. Which is the third biggest value? (a) z (b) n (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029 minus -1.521?\nAnswer: 1030.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 12*k**2 - 2*k - 20. Let m be u(-12). Suppose -m*s + 95 = -85. What is the remainder when 88 is divided by s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (18 + -7) - (-3 + -4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.81674 millennia to centuries.\nAnswer: 568.1674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005192515444 rounded to five dps?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -879713.8 * -0.08\nAnswer: 70377.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 29. Suppose -4*o + t + 86 = -t, 5*o = i*t + 105. Let l be (0 + 1)\/(o\/(-7) - -3). Let q(s) = s**2 + 5*s - 9. What is q(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 9*x. Let o(t) = -43 + 210 + 2*t - 52 - 74 - 45. Give w(o(m)).\nAnswer: 18*m - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -9048\nAnswer: 9049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12449212*t**2 + 12666143.\nAnswer: -24898424*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/44))\/h**(2\/49)*h\/(h\/(h*h**12*h))*h\/(h**(5\/7)\/h*h*h))**(20\/9) assuming h is positive.\nAnswer: h**(153805\/4851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 9:25 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(140\/72))\/((2\/10)\/(-1))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**3\/3 + h**2 - 9*h + 1. Let u be r(-5). Let n = u - -14. Calculate the remainder when 77 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1902 divided by -6.\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c + 2*c - 3*c)*(26 - 26 + 5*c**2) to q*c**2 + a*c**3 + i*c + l and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -152*z. Let a be n(1). Calculate the remainder when (24\/16)\/((-6)\/a) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/7 + (-48)\/(-14) - 1. Let k(o) = o**3 + 8*o**2 + 12*o + 4. Let q be k(-6). Solve -q*n + 10 = -j*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b - 23 = 0. What is the derivative of 5*r - 11*r - 3*r - b wrt r?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vppp when four letters picked without replacement from {p: 3, f: 3, v: 3, w: 4, o: 3}?\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -117 + 6 - (894 + -987)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q = 2*x + 18*q + 1, -2*x + 5*q = 13. Sort x, -7, -5, -4 in decreasing order.\nAnswer: x, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + 0?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1*(-6)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - c - 24. Let l be a(6). Does 4 divide (l\/(-5))\/(30\/(-500))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - (-1 + 0)) + 22. Suppose -4*k + 21 = -f. Suppose k*h - 5*h = -10, -2*a - 5*h = -136. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 159 - 155. Suppose n*b - 40 = -16*b. Solve 3*g - 6 = 5*a, -b*a + 6 = -4*g - 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5342 - -0.43536. What is x rounded to three decimal places?\nAnswer: -0.099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**4*o - 5*k**4 + 2*k**3*o - 108*k**3 - 30090*k**2 + o wrt k?\nAnswer: -48*k*o - 120*k + 12*o - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-154) + 1 + (-800)\/2800\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/15, 11747\/18, 0.2?\nAnswer: 11747\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (28\/(-4))\/(-1 - -3). Let c(w) = -2*w**2 - 136*w - 137. Let z be c(-67). Are z and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0622889 to three dps.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjfsfsfssjffsf. What is prob of sequence sj?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**3*z + 60205*b**3 - 137*b**2*z + 35*b*z wrt z.\nAnswer: -2*b**3 - 137*b**2 + 35*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.5 + 3. Let j be 329\/98 - (1080\/(-84))\/(-15). Which is the closest to 0.1? (a) j (b) 9 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2149052833 to the power of 1\/3, to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136018 - 170958 - 219411 = 7208*v - 29035 for v.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -664, -1372, -2070, -2752, -3412, -4044, -4642, -5200?\nAnswer: -5712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 834 by -78763.\nAnswer: -834\/78763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30592981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.43474 rounded to two dps?\nAnswer: 8.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(8\/5 - (-16)\/40). Solve o = -5*l - 3 - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.55 - -2.55. What is the fourth smallest value in h, -0.3, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**5 - 245*o**4 + 58097*o**2 - 93157489*o wrt o.\nAnswer: -40*o**3 - 2940*o**2 + 116194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5293*t**2 - 4*t + 5295*t**2 - 8*t - 5*t + 3*t + 14*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/15 - -57\/10. Find the common denominator of (-317)\/216 - (4 - (-186)\/(-48)) and p.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/68245, 0.3, 7\/2, 1?\nAnswer: -2\/68245","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 82 + 21*n.\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-4*s + s + 6*s) + 715*s + 1007*s - 50*s.\nAnswer: 1678*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8500 is divided by 109.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 600\/(-450)*(18\/16)\/((-9)\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bggggbgg. What is prob of sequence gg?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4 + j**3 + 42*j**2 - 4*j - 88.\nAnswer: -(j - 2)*(j + 2)**2*(5*j - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17321 = -1701*a + 66650 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 326 + -325. Suppose 4*m + x - 9 = 0, 2*m - 26*x = -21*x - z. Solve -2*p = 5*v - 26, 0 = -m*p + 3*v - 5 - 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*b**6 - 117*b**5 - 7*b**4 - 525586*b**2?\nAnswer: 600*b**3 - 7020*b**2 - 168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 5 = 3*x, -3*f + 4*x - 95 = -85 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 - 20*u + 8 - 2 + 18*u as x*u**2 + w*u + h + l*u**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -0.1, 1592, 3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -107828514 + 71191500. Let l = -2882396 - -12419410. Let u = l + k. What is u rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34788 and 936.\nAnswer: 208728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1439 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 565814?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443 = c - 450, -4*s + 3*c - 21 = 0. Factor s - 1\/7*u**2 + 0*u.\nAnswer: -u**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-152)\/32 + 2. Factor 0 - t**4 + 1\/4*t - t**2 + 3\/2*t**3 + x*t**5.\nAnswer: t*(t - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + b + 17, 0 = -2*d - b - 2*b. Factor -27*x**2 + 27\/2*x**d + 18*x - 4.\nAnswer: (3*x - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -1.63483?\nAnswer: 1.73483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*k**2*v - 364*k**2 + k*v - 1111*k*x**2 + 237*v*x**2 + 4136*v*x - 14*v + x**2 wrt k?\nAnswer: 12*k*v - 728*k + v - 1111*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-84)*56\/176\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34380 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 - 5*r - 5. Let u = 5212 + -5215. Let b(h) = -2*h**2 + 3*h + 3. Calculate u*f(z) - 5*b(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 496326443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1759022620 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/65403 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*a + a + 20*a + 2 + a - 2 + (-1 - 3 + 6)*(2 + a - 2).\nAnswer: 42*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 13. Let u = 1031493.00041 - 1031500. Let f = p + u. What is f rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a factor of 1249353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*h + 56*h + 850 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + 1*(sqrt(68) - (sqrt(68) - (sqrt(68) + (1*sqrt(68) - sqrt(68))))))*-3)\/(sqrt(108)\/sqrt(3) + sqrt(4) + sqrt(8)\/sqrt(32)) + 4.\nAnswer: -24*sqrt(17)\/17 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -35794 (base 10) to base 4\nAnswer: -20233102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + 7.4. Let p = -5.4 + u. Let k = 1.599984 - p. Round k to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 0, 1, 23, 0.02, 0.03 in descending order.\nAnswer: 23, 3\/2, 1, 0.03, 0.02, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -171*y + 24 - 282*y - 432*y - 225*y. Let j be u(-12). Let a = -293519\/22 + j. Calculate the common denominator of -75\/4 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - 2*sqrt(77)*-1) + 5*2*sqrt(77))\/((sqrt(28) + sqrt(28)*1)*-3).\nAnswer: -13*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/501 - -545\/11022. Is 0 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 13*y - 243. Determine p(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 10:56 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30875 + -30594. Which is the fourth smallest value? (a) 2 (b) r (c) -0.2 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.003 - -0.003. Is 0.17 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(-2)*x*x*x*x)\/x)**(5\/4)\/(x*x\/(x\/x**(2\/7))*x*x\/(x\/x**(1\/3)))*(((x*(x\/(x**2\/x*x))\/x)\/x)\/(x\/(x**9*x)))**34 assuming x is positive.\nAnswer: x**(20507\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 277, 286, 295, 304, 313?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -408, -364, -388, -516, -784, -1228, -1884, -2788?\nAnswer: -3976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five halves of a decade?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**2 - 108580*f + 108575 = 0.\nAnswer: 1, 21715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13441132 is divided by 239.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1272757401?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*k + 4*t = 8, -3*k = -t + 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1869, 3752, 5635, 7518, 9401, 11284?\n\"Answer: 1883*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 8*s**2 - 16*s + 16. Let t(y) = -y + 1. Determine -i(p) + 16*t(p).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1539787339 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4 = -4*o, 4*o - 2*u = -7 - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + 26.7. What is the biggest value in b, 1, 0, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 0. Let i(t) = -1. Let p be 2 - 0\/((-5)\/((-15)\/(-6))). Let a(y) = 6*y**p - 9*y**2 - 6 + 2*y**2. Give v*i(r) + a(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukkuukukuuuuukuuuu. Give prob of sequence kk.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5019 divide 155363145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 564 divide 3193624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 223 - 222.99. What is the nearest to -1\/4 in q, 7\/3, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135762.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1369\/140355?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28588009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(3\/8)*(y\/(y*y\/y**(13\/3))*y)\/y)\/(y\/(y*y**(2\/13)))**(4\/11))**(-1\/9) assuming y is positive.\nAnswer: y**(-13777\/30888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5365 (base 9) to base 16.\nAnswer: -f6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24772, -23345, -21916, -20485, -19052?\nAnswer: -17617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18519 = 18369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1123, 0, -3, -59, -8, 1.\nAnswer: -59, -8, -3, 0, 1, 1123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*q + 2*q. Let w be ((-24)\/(-36))\/(2 - 5\/q). What is the units digit of (w\/(-8))\/((-9)\/108)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -5*z**8\/168 - 3*z**4\/4 - 7*z**2\/2 - 6. Let h(b) be the second derivative of k(b). Find the second derivative of h(o) wrt o.\nAnswer: -200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**5\/10 - 17*f**4\/4 + 82*f**3\/3 + 114*f**2 - 1833. Factor u(a).\nAnswer: -a*(a - 6)*(a + 2)*(a + 38)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117910475?\nAnswer: 5, 331, 14249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -170.9 - -170.8648. What is l rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 + 10*i**4 + 744*i**3 - 2*i**2 - 741*i**3)*(2 - 2 - i).\nAnswer: -10*i**5 - 3*i**4 - 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in hours?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 10:54 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 233 - 122 - 34*i**2 - 111. Let m(s) = -4*s. Determine y(m(c)).\nAnswer: -544*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 2328 + 378. Let h = u + -251. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j**3 - 5*j**3 + 0 - 3 + 17*j**3 + 13*j**3 in the form i*j**3 + q*j + r*j**2 + g and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (-6)\/4*(-24)\/(-9). Let z be (63\/(-15) - -3)\/(r\/5). What are the prime factors of 5\/(19\/z - -4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 3:56 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 581 = -w - 4*w, -1442 = 5*x + 2*w. Is x\/(-5) - (-2)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -30, -0.1, 2.78?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p**2. Suppose -4 = -2*d, -3*c + 6*c = 3*d. Let f(n) = 10 - 3*n**c + 3 - 13. Calculate r(f(o)).\nAnswer: -81*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -56 and 184?\nAnswer: -10304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.5 + 4. Let q = 2 + u. Let i = -2.97 + -0.03. What is the biggest value in i, 2\/9, q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1088 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (6 - 4) - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 19 = -p, -41*p - 4 = 4*t - 37*p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, n: 2, v: 4, i: 1, k: 1, b: 2}. Give prob of picking 1 b, 1 s, and 1 k.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 122502\/33 + 2\/(-11). Suppose -2*x = 0, -4*t + 3*x = 1112 - w. Suppose -r = 109 - t. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtd when three letters picked without replacement from {t: 4, d: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 374166009?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*j, 257 = 4*p - j + 114. Solve -1457*b = -1448*b + p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.1*3.66.\nAnswer: 102.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1954*j = 3917*j - 1927*j + 360 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 90316 * 42\nAnswer: 3793272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 1:32 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/((0 + -2)\/2). Suppose 464 = x*p - 548. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.08 + 9. Let m = q + 0.58. Which is the biggest value? (a) -0.4 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 7601689.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*s**2 + 158*s**2 + 152*s**2 - 457*s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -991?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111101 + 110000110100?\nAnswer: 110010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*p + 18. Calculate the remainder when p is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1965 and 327500.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -5, 0.4, 4, 7\/17, 5.\nAnswer: -16, -5, 0.4, 7\/17, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 200, 2.\nAnswer: -1, 2, 3, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 + 63*l - 271*l + 3 + 813*l**3 - 301*l**3 - 76*l wrt l?\nAnswer: 3072*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -9 (b) 0.5 (c) 0.0988\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = b + 1. Let w(d) = -d**2 + 0*d**2 + 2*d + 9*d**3 - 7*d**3. What are the prime factors of w(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.27 - 0.27. Let f be (-1)\/(0 + 1 - 2). What is the nearest to f in 1\/2, 0.4, s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24012020?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 4. What is l(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 14*q**2 - 15*q - 1. Let z be l(15). Let o(d) = d**2 + d - 1. Let m(y) = -y**2 + y + 1. Calculate z*m(i) + o(i).\nAnswer: 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55843739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5855637 and 1164?\nAnswer: 2271987156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/(1827\/(-532))*-12*2\/16.\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s = -5*z + 25, -7 = -3*z - s. Suppose 0 = -2*u - f + 52, 17*u - 22*u + z*f + 156 = 0. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*w + 324 = 549. Solve -w*z = 11*g - 9*g + 1, 0 = -4*z - g + 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + 6*i**3 - 3*i**3)*(75 - 9*i - 75)*(-7 + 0 - 5)*(-12 - 8 + 9).\nAnswer: -2376*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**3\/2 - 10*q**2 - 11*q. Let i be w(11). Suppose 1 - i = -t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 8*d - 13*d. Let h = d + -10. Calculate the greatest common divisor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -35\/3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1787172 at most as big as -1787173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100011001100011000 - -1001110100?\nAnswer: 11100011010110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -11*v**2 + 4097*v + 4193. Let d(q) = -15*q**2 + 6145*q + 6279. Let g(l) = -5*d(l) + 7*z(l). Factor g(x).\nAnswer: -2*(x + 1)*(x + 1022)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 12 = -2*d. Is -4*d\/(-8) - -21 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 + 626*f**3 - 42349*f**2 + 41724*f.\nAnswer: -f*(f - 549)*(f - 76)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 165251 to the power of 1\/2, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aib. Give prob of sequence ab.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074068 <= 1074138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-2)\/(-1))\/(30\/360*120).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 14. Let m(t) be the second derivative of 1\/6*t**4 + t**3 + 0 - 2*t + a*t**2. Determine q so that m(q) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (941*q**5 + 644*q**5 - 371*q**5)*(8 - 9 - 14).\nAnswer: -18210*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 354820 divided by -565.\nAnswer: -628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13829 is divided by 75.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 36 = 9*h. Which is the nearest to -0.2? (a) -2 (b) 2\/9 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*y**2 - 742 - 324*y**5 - 105*y**5 - 364*y**3 + 132*y**3 - 2*y + 237*y**3 + 98*y**5 wrt y?\nAnswer: -19860*y**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -1\/2 (c) 1\/11 (d) 0 (e) 0.08 (f) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, a: 4, e: 4, g: 3}. What is prob of picking 1 e, 1 n, and 2 g?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 13*t - 90. Let p(o) = o**3 + 5*o**2 + o + 4. Calculate the least common multiple of x(10) and p(-4).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 158 = -2*u + 218, -2*u = -5*j - 376. What are the prime factors of u?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4651 - 68477362?\nAnswer: -68477362.4651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8003, -16002, -24001, -32000?\nAnswer: -39999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**4 - n**4 + n**4 + (-4*n**3 + n**4 + 4*n**3)*(2 + 99 - 33).\nAnswer: 65*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 5, x: 3}. What is prob of sequence xw?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 19*u**2 - 50*u + 20. What is y(16)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1088)*-4 + 5)**2.\nAnswer: -320*sqrt(17) + 17435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 + z**2 - 6*z - 6. Let x(b) = -b**3 + b + 1. Let s(o) = k(o) + 6*x(o). Let i be s(-1). Let l = i - -6. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -320\/11. Let q be -2 - 2\/(-2) - (-19 - -22). Let r = 479.5 - 479. Which is the biggest value? (a) r (b) t (c) q (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -79 (b) -19 (c) 4 (d) 2\/29 (e) -2 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 295832599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 417 and 3?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 2 = -66. Find the second derivative of -80 + 5*v**4 - 5*v**n + 78 + 120*v**5 - 18*v wrt v.\nAnswer: 2400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90013.43 decades to millennia.\nAnswer: 900.1343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (798\/(-513))\/(-6*14\/24).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1384850520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 - 46. Suppose -2*b = -i - 6. Solve d - 24 = b*g - 4*g, 0 = -g + 4*d - 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298203\/(39\/((-52)\/(-4))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35969559 or 35969564?\nAnswer: 35969564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - -101410230?\nAnswer: 101410302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.34 + 0.3. Suppose 0 = 19216*l - 19239*l + 46. Which is the nearest to -2\/5? (a) 1 (b) w (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144 - -146.47. Let v = -1.49 + x. Round v to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -804 = 3*g + 1863. Let v = 40 - g. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-30))\/(2\/432*36).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(500)*2 + (sqrt(500) - sqrt(500)*2) + 1 - (4*sqrt(500)*-2 - sqrt(500) - (sqrt(500) + -3 + 0)))*-4)**2.\nAnswer: -14080*sqrt(5) + 968256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*o**3 - 244*o**3 - 2160*o**3.\nAnswer: -2232*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1952 divide 36184224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27\/68504 + 634540\/488091. Let b = 164227\/57 - 2881. Let m = b - o. Calculate the common denominator of 71\/6 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -794 - 3790 = 191*a for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**3\/6 + 7*a**2 + 45*a. Let r(c) = -2*c**2 + 3*c + 1. Let b be r(-2). Give z(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276 + 4*c - 268 - 164 + 708.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - sqrt(242)*-2) + -1)**2 + (0 + sqrt(242))**2 + -3 - ((sqrt(242) - ((sqrt(242) + sqrt(242) + 2)**2 + -4)) + -5).\nAnswer: 11*sqrt(2) + 3391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 377*u - 38095 = 379*u, -p + 5*u + 7596 = 0. What is the lowest common multiple of 9 and p?\nAnswer: 68589","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-6)\/(-2) - 6. Suppose -4*c - 2 = -2*m + 20, -m + 18 = -3*c. Which is greater: a or c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 4, 74, -13 in decreasing order.\nAnswer: 74, 12, 4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3301 = 3*m + 1142, -4*d = -3*m - 2177. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*i + 12 = -31*i. Suppose 5*w + 2 = b, -i*w + 41 = 4*b - 36. Suppose 0 = -b*y + 15*y + 102. Calculate the remainder when y is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(99) + -4) + (sqrt(99) + -1 + -3 - sqrt(99))*-2 + 0 + -3.\nAnswer: -3*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21241523 (base 6) to base 5\nAnswer: 130041200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5.303*0.078\nAnswer: 0.413634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44862?\nAnswer: 2, 3, 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((2\/7)\/((-504)\/3871))\/((-242)\/(-6)) and -41\/3.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence it when two letters picked without replacement from ttttttttttttittttt?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.39 (b) 282601 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 40*p + 38 - 122 = 0, -4*r - 2*p - 25 = -5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 813 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -373*d + 446.\nAnswer: -373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2*z = 2, 2*z - z + 5 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 234*s + 106*s + 119*s to r*s + n and give r.\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**5\/30 + 5*b**4\/12 + b**3\/3 + 56*b**2 + 6*b. Calculate u(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 136 - 198. Suppose 2431 + 397 = -4*u - 4*g, 2*u - 4*g = -1432. Let h = u - -648. Is a < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80\/18 + -4 - 112380\/(-108)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -960 + 960.00000927. What is z rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1064*z**2 - 29 + 76 - 28 - 19. Let d(v) = -v. What is d(i(r))?\nAnswer: 1064*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6346 - -1004?\nAnswer: 7351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -7*i**5\/20 - i**4\/2 - i**3 - 4*i**2 + 78*i. Let s(z) = 14*z**3 + 11*z**2 + 11*z + 15. Calculate -11*a(c) - 6*s(c).\nAnswer: -7*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of t**3 + 7174*t + 4621 wrt t?\nAnswer: 3*t**2 + 7174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -22865606.\nAnswer: 5\/22865606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/21348 and -85\/270408?\nAnswer: 811224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence alll when four letters picked without replacement from aaalaaadal?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pc when two letters picked without replacement from lclccep?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 - 5*m + 8. Let q(r) = -3*r**2 - 11*r + 16. Suppose 0 = -7*w + 3*w - 12. Let d(s) = w*q(s) + 5*y(s). What is d(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 5\/4*m**4 - m + 7\/3*m**3 + 4 + 0*m**2. Let j(h) = -8*h**3 - 3 - 6*h**2 + 4*h**3 + 4. What is -7*j(n) - 6*k(n)?\nAnswer: -2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5324594 and 330?\nAnswer: 79868910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -289630 + 289470.0109. Let i = z - -160. Round i to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*j + 13, 3*p - 17 = 12*j - 7*j. Let m be ((-2)\/2)\/(1\/5). Sort j, m, 4.\nAnswer: m, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 5. Let y be ((-70)\/21)\/(4\/(-6)). Suppose 2*i - 2 - 4 = 4*j, y*i + 17 = 2*j. Let r be q(i). Solve 3*a + r*a - 6 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.42 - -0.02. Let z = 1.8 + g. Let f be 40\/48 + (-4)\/3. Which is the second smallest value? (a) z (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*f - 35 - 89. Suppose 3 = -5*z - 17, 5*y + 14 = -z. Put y, 5, f in ascending order.\nAnswer: y, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1347 = -3*t - 552. Is (t\/9)\/(2\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - k. Let u(p) = -28*p**2 + p. Let f(r) = 6*a(r) + 3*u(r). What is the second derivative of f(v) wrt v?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-6)*l)\/((l**3\/l)\/l*l))\/((l\/l**(2\/11))\/l**(2\/17)))\/(l**(-6)*l*l**(-5)*l**(3\/5)*l**7*l*l) assuming l is positive.\nAnswer: l**(-5891\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106495\/46116 - 20\/1647. Calculate the common denominator of j and 71\/560.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 times -5\nAnswer: 0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7\/5 + -26\/15. Let p be (0 - 2)\/((-1)\/2). Let w be (-1)\/10 - (-6237)\/21780*(-4)\/(-6). Which is the biggest value? (a) d (b) p (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -3316*i**3\/3 - 3466*i. Let a(f) = 2*f**2. Determine u(a(p)).\nAnswer: -13264*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16.0778 in 8, 0, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -150648093.\nAnswer: -10\/150648093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 11. Let a be q(-10). Calculate the lowest common multiple of (4\/10)\/(a\/(-5)) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7258 at most as big as 108848\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6921 and 100057.\nAnswer: -692494497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 8:27 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 19*d - 375. What is the remainder when 45 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3297 - 260.8042?\nAnswer: -3557.8042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132 - -527. Suppose z = 9*b - 6814. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1858128999?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 9. Let w be i(16). Let y(q) = 0 + 2*q**2 - 3*q**2 - w*q - 4. Determine y(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*j - 14, 0 = -3*l + j - 0*j + 9. Let g be ((-5)\/(-2))\/(l\/4). Let s(i) = -i - 2. Let d be s(g). Is d <= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/358055 and 12\/18845.\nAnswer: 358055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 3*f - 3. Let n be k(-4). Sort 2, n, -2 in decreasing order.\nAnswer: 2, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - 11263\/(-14))\/(9\/102) + -2. Calculate the highest common divisor of 15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f**2 + f + 12. Let z be k(-10). Suppose 94 = -2*q + z. Suppose -141 = 3*c + 3*h - q, 5*c = -h + 335. Does 35 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.52 + 1.52. Which is the closest to w? (a) 1 (b) -0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 14032\nAnswer: 1403.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.359 - 13.3. Let k = s - 3.359. Let n = 1.7 - k. Which is the smallest value? (a) -5 (b) -0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 239, 524, 819, 1124?\n\"Answer: 5*z**2 + 270*z - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1505.\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1514 divided by 1\nAnswer: -1514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*q - 776 = 0, -2*n + 0*q + 394 = -4*q. Is n\/(1 - 0) - 4 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 43*f**2 - 16*f - 345. What is the remainder when x(-4) is divided by 86?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -50, -115, -218, -365?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1237 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**3\/6 + 15*p. Let z(o) = -6*o**2. Calculate z(w(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1902 divided by -6\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -31\/4. Suppose -5*r + 1 + 4 = 0. Which is greater: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.0849.\nAnswer: -0.3396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 4) in base 13?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 301780741, 301780743, 301780745, 301780747, 301780749, 301780751?\n\"Answer: 2*d + 301780739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -26. Solve 6 = 4*s + 5*j, -3*j = -s - i + 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**2 + 243585*m - 243580 = 0. What is m?\nAnswer: 1, 48716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*s = -2, 0 = -5*f + f - 2*s + 80. Suppose -k + d + f = 6*d, -4*k = -2*d + 38. Let w be ((-5)\/40)\/((-2)\/(-112)). Is w at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*o - 294 - 32 = 33*o + 56*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 480167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 9. Suppose 80 = 3*m + 2*m + 2*i, v = -4*i + 20. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 11 + 267*p - 793*p + 255*p + 262*p + 51*p**2. Let w(d) = -25*d**2 + 4*d - 5. Give 4*f(j) + 9*w(j).\nAnswer: -21*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**33*u)\/u**(-1\/27)*u\/(u**(1\/44)*u)*u**13 assuming u is positive.\nAnswer: u**(55853\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 8:55 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 407 - 289. Suppose -13*q - j + 157 = 0. Solve s = -2*n - 6 + 1, -n - q*s = -10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w + 11. Let s be i(-7). Let t = s - -13. Solve 0 = -z + t*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -103*a + 4451. Determine s(49).\nAnswer: -596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -9*n - 76. Let c be z(18). Let i = 431 + c. List the prime factors of i.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t. Let k(r) = -3*r**2 + 6*r - 1 + 4*r**2 - 1. Let q = 7 - 14. Let w be k(q). Let m(h) = -4*h. Determine w*s(f) + m(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 49827453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -531\/29 or -18?\nAnswer: -531\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 7*q + 6*q - 25*q - 4*q**2.\nAnswer: -4*q**2 - 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - u + 1. Let a(f) = 2 - 2*f - 3*f**3 + 4*f + 0*f - 4*f. What is -a(l) + 4*c(l)?\nAnswer: -l**3 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78 - 33 + 32)*(1 + 0 - 3 + 1 - 2 - 1 - 6 - 3 + 2 - 3 - 2 + 4 + (-1 - 5 + 4)*(0 - 3 + 1))*(2*j - 4*j + j).\nAnswer: -632*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/4*6\/24. Let x(q) = 2*q**2 - 6*q - 3. Let f be x(4). Let r(v) = 2*v**2 + 11*v + 10. Let b be r(-4). Sort b, f, p in ascending order.\nAnswer: b, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (70\/15 + -2)*-3. Let r = o - -15. Differentiate -r + 12*p**2 + 9*p**2 + 7*p**2 - 9*p**2 with respect to p.\nAnswer: 38*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 12*p + 31. Let v be a(-4). Let m(w) = 9*w**3 + w. Calculate m(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 549750 and 17592.\nAnswer: 2199000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2006 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**4\/24 + 5*g**2 - 12. Let t(w) be the second derivative of l(w). Let f(a) = a**2. Give t(f(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8 + 60\/6 + -4570002. What is j rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -1 + (-3 + 8 - 9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 9 = 4*w, 4*w - 2*i + 19 = -5*i. Let x(v) = -v**3 + 6*v**2 - 4*v + 1. Let l be x(4). Let f = l - 12. Put -3, w, f in decreasing order.\nAnswer: f, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 + 155*o**2 + 1300*o + 1140. Let q(t) = -t**3. Let h(p) = 3*q(p) + z(p). Determine u, given that h(u) = 0.\nAnswer: -6, -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8*c**3 - 6*c**2 + 2*c + 7. Let h(k) = k**3 - k**2 + 1. What is f(m) - 6*h(m)?\nAnswer: 2*m**3 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 42*b**2 - 21806*b - 17700. Determine u(520).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 11 + (5 - 13)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -0.01, -0.25, -2\/13, 12, 1\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13094 + 13098. Which is the fourth biggest value? (a) -0.3 (b) y (c) 2 (d) 3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (sqrt(242) - -1*sqrt(242)*4))\/(3*(sqrt(11) - -2*sqrt(11))))\/((sqrt(88)*1*-4)\/(sqrt(64)\/sqrt(200))).\nAnswer: sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 552075.4 tonnes?\nAnswer: 552075400000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - 191 - 271 - 268 + 730.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.94 - -1.024. Let t = o - -0.116. Let w = 0 + t. Which is the nearest to w? (a) 5 (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**4\/4 + 22*u**2. Let v(r) = r. Let p(s) = 2*a(s) + 11*v(s). Let i(h) = h. Determine p(i(w)).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -865*i**4\/24 + 2*i**3 + 8*i**2 - 2*i. Is p(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/3)\/((-18)\/675). Calculate the common denominator of 126\/20 - (-3)\/6 and f\/18 - 15\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + 0 - (-24)\/(-12). Let v(l) = l**3 - 3*l**2 - 5*l + 5. Calculate v(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/3871595 and -47\/60970?\nAnswer: 7743190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1526*m - 663528 = -1538*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -20. Suppose 2*t = 7 + b. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*b - 5*f - 125, 43 = 2*b + 5*f. Solve 5*q - 2*t = 15 + 2, -4*q = t - b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -34*q - 13. List the prime factors of t(-4).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 3*z + r + 95, -4*r = -12. Suppose 7 = 5*x - 13. Suppose y + 5*i = 1, x*i = -8 - 0. What is the remainder when z is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j - 5*j - 2*j + (1 + 1 - 1)*(-j - 1 + 1).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 201005\/15 + 20\/12. Suppose 18*i - 106676 = y. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00450907836 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.48, -3\/5, -3\/2, -2, -2\/3.\nAnswer: -2, -3\/2, -2\/3, -3\/5, 0.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1800\/1500)\/(2\/(60\/(-18))*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2687431786 to the nearest integer?\nAnswer: 1390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/126*7)\/((-8)\/(1536\/(-18))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = 5*m + 151 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and -0.0878.\nAnswer: 0.007902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20619 + -13694. What is the thousands digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 - 2*j - 1. Let w(q) = -10*q**2 + 6*q + 2. Let y be (-2 - 2) + (-13)\/(169\/(-26)). Determine y*w(t) - 7*p(t).\nAnswer: -t**2 + 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 60119.33m?\nAnswer: 60119330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t**2 + 2*t - 4. Let f(z) = z**2 + 8*z - 9. Let j(i) = -2*i**2 - 23*i + 26. Let a(p) = -17*f(p) - 6*j(p). What is 3*a(q) - 2*v(q)?\nAnswer: -3*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, -7, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 15 (b) 0.2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**3 - 1. Let h(z) = -5*z**2. Determine c(h(a)).\nAnswer: -75*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -2\/11, -3\/2, 46, 52, -5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3 - 1. Let o(d) = -65*d**2 - 2*d + 2. Let s be o(x). Is 0 - 4 - (s + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 5*n = 2, 7*a = 10*a - 3*n - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.9 and -23.8.\nAnswer: 307.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10956052 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 5*s**2 + 4. Let a(b) = -16 - b**2 - 20 + 16 + 20. Give n(a(z)).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*c - c = 0. Suppose c = -2*n - 3*j + 222, 2*j = 2*n - 2*j - 222. List the prime factors of n.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176290223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 10:01 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6\/49 - -85\/294. Let d(x) be the second derivative of -f*x**4 - 1\/15*x**6 + x - 1\/5*x**5 + 0 + 0*x**2 + 0*x**3. Factor d(b).\nAnswer: -2*b**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + sqrt(68))**2 + sqrt(187)\/(sqrt(55)\/sqrt(5)).\nAnswer: -7*sqrt(17) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -2\/2281 (c) -256\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 294100358 minus 0.32?\nAnswer: 294100357.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 43\/80?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/2))**25*(f**(1\/2))**(10\/3)*(f**(1\/3))**(-1\/9)\/(f**(-2\/5))**(-5\/4) assuming f is positive.\nAnswer: f**(1043\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 + -13.4. Let s = i - -10. Let m = 0.3 - 0.2. Which is the second biggest value? (a) m (b) -0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -113 + 253 + 170 - 46*x wrt x?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.29 + -0.29. Let q = f + -11.8. Sort 2, 2\/9, q in decreasing order.\nAnswer: 2, 2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3246 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 3*a**2 + 2. Suppose -8*c - 15 = -3*c. Let b(t) = -3*t**3 - 7*t**2 + 5. Determine c*b(x) + 7*v(x).\nAnswer: 2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23795156.\nAnswer: 2, 7, 11, 23, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 0.4, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000 (base 2) in base 9?\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4 - 624734*u**3 - 1249462*u**2 - 624730*u = 0. Calculate u.\nAnswer: -312365, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -627.8 + 543. Let o = -4.2 + h. Let x = o + 88.999918. What is x rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 5*q**2 + 5*q + 5. Suppose 4*s + 16 = -8. Let f(r) = -2*r**2 + 3*r - 3 + r**3 + 6 + 0 - r**2. Determine s*i(x) + 10*f(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfssssssssssffsssfs. What is prob of sequence fffs?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 215098579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14865\/9910*(24\/81)\/(-2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 9:41 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -2336 and -2351 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 8 - 4)*(-s + 4*s - 2*s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of ((-18)\/(-54))\/(5\/217260) + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825033 is divided by 274925?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 - -101. Calculate the remainder when f is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 m when four letters picked without replacement from lmllljlljllm.\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-22)\/(-11))\/((-2)\/(-5)). Solve -1 = 3*p + j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**5\/20 + 13*q**4\/12 - 13*q**3\/6 - 9*q**2\/2 + 2*q. Let g be 24\/18*((-234)\/36 + -4). Give u(g).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1)*g)\/(g\/g**(2\/13)))**(-1\/20)\/((g\/(g**(-2\/3)*g*g))**(4\/17))**(-18) assuming g is positive.\nAnswer: g**(-3137\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 k when three letters picked without replacement from lkgtgwk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333583 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 p, and 1 z when three letters picked without replacement from pppppppipppqzepeip?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 374 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -10*d + 6. Let o(m) = -22*m + 13. Let x(w) = 6*o(w) - 13*q(w). Let u(f) = -2*f**2 - 64. What is u(x(a))?\nAnswer: -8*a**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4\/7))**(-2\/69))**(2\/25) assuming h is positive.\nAnswer: h**(16\/12075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89 + -88. Let y = -19 - -17.5. Let t = y - -1.7. Which is the nearest to w? (a) t (b) 0 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 859533.19961 + -859491.2. Let g = -42 + s. What is g rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/89 + -97\/356. Let v = -0.252 - 1.768. Let q = -0.02 - v. Which is bigger: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 241382817*z**5 - 16*z**2 + 5*z + 1024359?\nAnswer: 14482969020*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/47 - 1\/564. Let y(o) be the third derivative of 0 - 7\/240*o**5 + 0*o - 1\/160*o**6 + 1\/32*o**4 + r*o**3 - o**2 + 1\/168*o**7. Factor y(q).\nAnswer: (q - 1)**2*(q + 1)*(5*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -136?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*f - 4, 4*f = -5*q - f - 15. Let p(v) = -2*v**3 - 4*v**2 - 3*v - 1. Determine p(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(17) + (sqrt(119)\/(1*sqrt(7)) - sqrt(17)))*-3 + ((-1*(sqrt(68) + -2) - sqrt(68))*3)**2.\nAnswer: -162*sqrt(17) + 2484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.17, 3, 1\/10.\nAnswer: -0.17, 1\/10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*f**2 + 39*f**2 + 49*f**2.\nAnswer: 19*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58182396 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5 - 3*f + 5 + f. Let i(w) = w. Let g(z) = 4*z - 7. Suppose -4*q - 3*s = s + 24, 19 = -4*q + s. Let c(p) = q*i(p) + g(p). What is c(k(l))?\nAnswer: 2*l - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 87758484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*d - 18345 = 0, 219*a - 220*a - d = -18350. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-3)*1*(-625)\/250?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 1. Let m be (w\/(-70))\/((-2)\/10). Let r = 3\/2 - 1. Which is the nearest to r? (a) m (b) 2\/15 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4540280 is divided by 31312?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 - 0.2. Let n = 0.4 - -0.1. Let d = n - v. Which is bigger: d or -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2109543.43 take away -17.0173?\nAnswer: -2109526.4127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*m + 3628 - 89728 = 0. What is the highest common factor of m and 6405?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 20*c + 57. Let g(p) = 8. Calculate 6*g(n) - m(n).\nAnswer: -20*n - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33214 + -33179. Solve 1133*c + v = 1128*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k + 3. Let i be w(2). Let q be i + 4 - 1*-15. Calculate the greatest common factor of q and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00410338 rounded to four dps?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*f**2 - 26*f**2 - 17*f - 27*f**2 - 30*f**2.\nAnswer: 2*f**2 - 17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1113 divided by 8072?\nAnswer: -1113\/8072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.95 + -6.7. Let p = j - -0.15. Which is the closest to -0.1? (a) 3 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**9\/26460 + c**8\/1680 - c**7\/294 + c**6\/140 + 27*c**4\/4 + c - 9. Let r(q) be the third derivative of w(q). Factor r(j).\nAnswer: -4*j*(j - 3)**2*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 763 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h*m**2*n**2*s - 5781450*h*n*s + 70*m**2*n**2 + 256*m*s + 57*n**2*s wrt h?\nAnswer: m**2*n**2*s - 5781450*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -221 - -220.99749. What is g rounded to 4 decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 9:04 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x + 5. Suppose -94*f - 113*f + 4872 = 141*f. Calculate the remainder when b(5) is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -451342 (base 6) to base 13\nAnswer: -14360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 5) in base 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 50 = 15. Solve -4 = r*n + 5*s - 24, 3 = 3*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h + 15. Let m be x(3). Let o(v) = -3*v - 1. Calculate o(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 40*p. Is 11 a factor of x(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -6. Let j be (-2)\/t - (-30)\/(-8). Sort j, 4, 0.2.\nAnswer: j, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5933690 (base 10) to base 11.\nAnswer: -3393084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = q - 15, 7*n - 8*n - 23 = -5*q. What is the third smallest value in 3, 0.4, n, -1\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-5) + 15531\/5270 and 41\/5.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -3*w**8\/896 + w**7\/80 + 539*w**6\/960 + 477*w**5\/160 + 389*w**4\/96 + 5*w**3\/2 - 150*w**2 - 4. Solve c(k) = 0.\nAnswer: -4, -3, -1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-70)*-2 + (-4)\/(-15).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102089218 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 10:39 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jcjjjjjcjjjcjjjcjjjj. What is prob of sequence jcjc?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -v + 5 - 2, 4*v - 3 = d. Let g = 20 - 27. Let q = 13 + g. Put d, q, -0.5 in increasing order.\nAnswer: -0.5, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1. Let r = 55\/2 + -27. What is the nearest to 2 in r, w, -3\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pijjjcjpcjcpc. Give prob of sequence ijj.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/2)\/(q*q*q**(-32)*q))\/(q**30)**18 assuming q is positive.\nAnswer: q**(-1025\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -7 - 9) + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 118, 246, 416, 622, 858?\nAnswer: 1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-88231)\/47509)\/((-2)\/4*4\/14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1840 less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 31\/5 of a kilometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 322515 or 322598?\nAnswer: 322598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36813473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 5:33 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 700\/(-15)*45\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -325 - 4658a?\nAnswer: -468b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**5\/20 - j**4\/4 + j**3\/2 + 9*j**2\/2 + 20*j. Let h be s(-3). Put h, 4, -8 in descending order.\nAnswer: 4, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68981?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 491, 8 in descending order.\nAnswer: 491, 8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3132 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/2310 and 92\/8085.\nAnswer: 16170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-6)*7\/((-1470)\/14)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -659 in 187, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 + 1828*l\/5 + 427302\/5.\nAnswer: -2*(l - 1107)*(l + 193)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -56 + (1 - (-4 - -7)). Let c = q + 118. Suppose 0*s + 5*k = 3*s - 140, s - 5*k = c. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58*n**4 + 5*n + 462 wrt n?\nAnswer: 232*n**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-591)\/(-21) - 5\/35. What is the greatest common divisor of 92 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1135, 210, -1331, -3488, -6261, -9650?\nAnswer: -13655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 100*l - 32763. Give y(237).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 - v + v)*(6*v - v - 3*v) + 8*v**4 - 45*v + 45*v.\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y\/y**0)\/y*y\/(y\/(y**4\/y)))\/(y**(2\/5)\/y**(-3)))\/((y**(-2\/7)*y)**43)**2 assuming y is positive.\nAnswer: y**(-2094\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 p when four letters picked without replacement from pkkkppkppppkk?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33466243 - -2?\nAnswer: -33466241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -61684 (b) -4 (c) 3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74*s*y - 2*s + 61*y wrt s?\nAnswer: 74*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171 (base 10) to base 14.\nAnswer: c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h + 47 + 31*h + 15*h - 53*h. What is p(-11)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 + 0*r**2 + 4200*r**4 - 2*r + r + 42 - 4199*r**4 to k*r**4 + v*r + b*r**2 + n + w*r**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d + 4*d - 8*d + 0*d. Let o be a(1). Let x(v) = 3*v + 1. Give x(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -218*n + 42 - 42 as j*n + b and give j.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f = 21*f - 34*f + 35 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*h + 61 = 447*h + 690 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3041679.\nAnswer: 3, 1013893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 487 and 608263.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/5 (b) -197 (c) 5 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21656 is divided by 112.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43900598 to the nearest integer?\nAnswer: 6626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.22 + -0.09. Let t = f + 1.87. Suppose 5*m = 5*j + 25 - 0, 3*m - 9 = j. What is the nearest to -0.2 in j, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4860 and 1277625?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 6, p: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 0.25, 16\/5, -37?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (10 - 13) + -2 + -15?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -126600 divided by -5?\nAnswer: 25320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 5*h + 9*h + 13, 5*r - 5*h - 5 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -11, -25, -45?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -18. Suppose -v = p + 13. Let q = p + 39. List the prime factors of q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -2*d - 5*v - 6, -5*v = -2*d - 14. Let z = -40 + 42.7. Put d, z, -1\/4 in increasing order.\nAnswer: -1\/4, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tynbf. Give prob of sequence bf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*s + 50*s - 255 = g, 5*g - 4*s - 45 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93338503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**4*z**2 - 10*q**4 - 3*q**3*z**2 + 2*q**2*z**2 - 17*q**2*z + z**2 wrt q.\nAnswer: -48*q*z**2 - 240*q - 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-28))\/(2\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 64.3779156843.\nAnswer: 63.9779156843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 + 8*m - 63. Let g(l) = -2*l + 25. Let d(s) = 2*g(s) + y(s). Give d(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3577398 (base 10) to base 14\nAnswer: -691a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 5*a = 98, 145*f + 1617 + 2149 = a for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 2 + 2)*(b + 6 - 6) + (-5 + 2 + 2)*(10*b + 17*b - 42*b))*(-b**2 + 4*b**2 - 2*b**2)*(1 - 2 + 3) to m*b + h*b**2 + q + l*b**3 and give l.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 0.2 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 1631*k + 76143. Give j(-47).\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76405 a multiple of 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 153*w - 21 + 48 as s*w + m and give s.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3556516 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -55 - 140. Suppose -5*l + b = -0*l. Let p(k) = -k. Let o be p(-2). Solve -2 = o*u - 4*t, 5*u = 4*t - 2*t - l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21821, -21885, -22051, -22373, -22905?\nAnswer: -23701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/19)*k*(k**(-19)*k*k)\/k)\/(k**(2\/5)\/(k\/(k*(k**(-2\/33)*k)\/k))))**(-3\/4) assuming k is positive.\nAnswer: k**(13631\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -8*y. Suppose -4*c - t = -24, 20 = 3*c - 3*t + 2. Let z(v) = c*v + 4*v - 7*v. Calculate z(p(n)).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -226, -457, -770, -1165?\nAnswer: -1642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 4*i**2 - 9*i + 11. Let a be n(5). Let x = a + 62. Suppose v - 2*g = -v + 6, -x*v + 2*g = -11. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/65156 and -113\/23270.\nAnswer: 325780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17588 + 0.409600408\nAnswer: 17588.409600408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -8 - 10 + 13*f + 25*f - 1. Let i be h(13). Suppose 0 = -0*p + 5*p - i. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -993 and 9.05.\nAnswer: -8986.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -195.36607 and 0.3?\nAnswer: -58.609821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -414*a*q**3 - 15*a*q**2 + 30*q**4 - 1391*q**2 wrt q?\nAnswer: -2484*a + 720*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-43)*s\/(s*s**(-17)))**10 assuming s is positive.\nAnswer: s**(-260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {q: 1, w: 1, j: 4, m: 9, e: 4}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**5\/10 + 305*q**4\/2 - 609*q**3 + 913*q**2 + 2*q - 1903. Factor s(m).\nAnswer: -2*(m - 913)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.5 in -1\/6, 3, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*a + 4 = 0, 4*x + 2*a - 14 = 3*x. Find the third derivative of x*j**4 - 11*j**4 - j - 9*j**3 - 39*j**2 + 8*j**4 wrt j.\nAnswer: 72*j - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 189 + -183. Let g(f) = w*f + f - 6*f - 3*f. Let m(b) = -4*b. Let a(d) = -9*d. Let v(y) = 3*a(y) - 7*m(y). Calculate v(g(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*y + 6*y. Let b = -30 - y. Let z = 55 + b. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 10) to base 9.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*o + 11463 = 519*o + 3191 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2)*36\/(-72). What is the nearest to -1 in -0.02, -3, q?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1)*o*o\/o**2)\/(o*o**(2\/11))**33)**43 assuming o is positive.\nAnswer: o**(-1591)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i - 63. Let h be 20\/3 + 2\/6. Calculate the highest common factor of h and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110101000110 - -101?\nAnswer: 110110101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + z + 39 = 0, 3*j - 6*z + 5*z - 125 = 0. Let b = j + -37. Is (-419 + 0)\/(b\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2.8, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 83 = 97 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7912774674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35582, -71526, -108166, -145850, -184926, -225742, -268646?\nAnswer: -313986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 790062\/31834 - (-4)\/22.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 2*x - 9. Let f be b(-12). Let u be f\/21 + (-2)\/(-14). Let c(p) = -p**2 - 8*p - 3. Determine c(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108*g**2 + 10*g - 89*g**2 - 5*g + 6*g wrt g.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i = -349 - 926. Does 25 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.7832658 nanoseconds?\nAnswer: 0.00000000001305443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 84, 79, 72, 63?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12471234 is divided by 206.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6171361 rounded to 2 decimal places?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 - 4*y + 6. Let q(m) = -13*m**2 + 10*m**2 + 17 - 11*m + 9*m**2. Let p(o) = 17*i(o) - 6*q(o). Determine d, given that p(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1881574 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -15*k + 54. Suppose -r + g - k = r, 9 = 2*r + 3*g. Find u such that -1\/8*u**3 - 3\/8*u**4 + r + 3\/8*u**2 + 1\/4*u - 1\/8*u**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 + 112. Suppose -q = -a - 34. Does 17 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**3 + 2 - 7 + 5 - 4 in the form i*x**3 + a + g*x**2 + c*x and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12003101 + -34?\nAnswer: -12003135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.25 and -1955153.1.\nAnswer: -1955153.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2 + 15377820*y + 15377823 = 0. What is y?\nAnswer: -1, 5125941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1515, -3020, -4481, -5880, -7199, -8420?\nAnswer: -9525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 801*c**2 + 9*c**2 + 49*c**2 to the form t*c**2 + j*c + a and give t.\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9765, -9755, -9745, -9735?\nAnswer: -9725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 38*t**2 + 37*t**2 + 6*t)*(10*t - 11*t + 17*t).\nAnswer: -16*t**3 + 128*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 6. Let z be q(-7). Let v be (z - -3)\/(0 + 1). Factor 0*k + 0 - 1\/2*k**v.\nAnswer: -k**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -5, 458, 0, -16 in decreasing order.\nAnswer: 458, 3, 1, 0, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12631*u + 272 = 12635*u. Solve u = -6*i + 32 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30891 is divided by 30883.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-4))\/(b\/b**(-2\/15)))\/(b**(1\/7)*b*b*b*b**(-4)) assuming b is positive.\nAnswer: b**(-239\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/2*-5*2\/(-12). Do g and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 420.0521 - 0.0521. Let l = w + -433. Which is smaller: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*s**3 + s**2 + 469*s + 23743?\nAnswer: -12*s**2 + 2*s + 469","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -13*k + 85. Calculate the lowest common multiple of a(5) and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeegegeeeggeee. What is prob of sequence ee?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330 a factor of 42436290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**5\/20 - 11*z**4\/6 - z**3\/3 + 35*z**2\/2 + 161*z. What is the remainder when k(-22) is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*b**3\/4 - 6637*b**2\/4 - 15943*b\/2 - 470 = 0 for b.\nAnswer: -94, -5, -4\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1809 + 426*i + i**2 + 183*i - 609*i + 23*i**4 + 24*i**3 wrt i.\nAnswer: 552*i + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 1. Let y be n(1). Let d = y - -42. Is d a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 506658*t - 41*t**2 - 506658*t. Let i(g) = 3*g + 0*g - 4*g. What is b(i(o))?\nAnswer: -41*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 58? (a) 58 (b) 3 (c) 0.1 (d) 67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*i + 8*i, -5*x - 4*i = -15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2471332.41 milliseconds?\nAnswer: 0.028603384375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2351 + -0.4351. What is the biggest value in -4, -9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*f**4 - 130*f**3 - 91*f**4 - f**2 + 256 + 2*f - 256 in the form u*f**2 + q*f**3 + w*f + h*f**4 + b and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggggxxgggg. What is prob of picking 1 g and 2 x?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-423)\/(-188))\/(3\/4). Let t = 102 + -103. Which is smaller: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + (-2)\/6)*3. Let x(z) = z**3 - 21*z**2 + 58*z + 2. Let i be x(18). Suppose i*l - 265 - 105 = 0. Which is the closest to 0? (a) -1 (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(3\/(-3))*42\/63.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 11, -16 in descending order.\nAnswer: 11, -11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 1 - 1)*(8 - 8 - 2*m)*(-2 + 1 + 5).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 76383?\nAnswer: 76384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3 = -3*f - 3*r, -4*f - 5*r - 1 = 0. Is f not equal to 37\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173 - 87 - 473*h - 183*h - 84.\nAnswer: -656*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybybyby. What is prob of picking 3 y and 1 b?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14337503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = -2*d + d. Is (d\/(-3))\/((-4)\/(-10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -18. Let q(a) = -2*a**3 + 2*a**2 + 5*a + 5. Let n(w) = -w**3 + w**2 + 2*w + 2. Calculate c*n(j) + 2*q(j).\nAnswer: j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5 - 4*p - 6*p - p. Let b be j(-7). Let w = 17 - b. Round w to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-16)*o)\/(o**(2\/25)*o)*((o\/((o\/o**(-7\/4))\/o*o))\/o*o)\/(o\/(o\/(o*o*o**(2\/13)))) assuming o is positive.\nAnswer: o**(-24679\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 10*s**2 + 14*s - 8. Let a be j(10). Suppose 4*m = 5*l - a - 145, 0 = -2*m - 6. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + n**3 - 4*n**2 - 35 + 35 as o + d*n**3 + i*n**2 + z*n and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -1163*h**3\/3 - h**2 + 1495*h + 7722. What is the second derivative of n(d) wrt d?\nAnswer: -2326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -9018.\nAnswer: 9018.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3 + 6*z**2 - 8*z - 24 = 0. Calculate z.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbf when three letters picked without replacement from {n: 2, u: 1, r: 1, e: 3, f: 6, b: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2346 divide 4396404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 194, 780, 1770, 3170, 4986, 7224, 9890?\n\"Answer: y**3 + 196*y**2 - 9*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/6*2*9 - 2. Let x = v + 94. Calculate the least common multiple of x and 60.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**2 - 5*z + 23. Let k be r(-6). Let i = 291 + -383. Is i less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**6\/21 - 16*u**5\/7 + 32*u**4\/7 + 992*u**3\/21 - 1552*u**2\/7 + 2432*u\/7 - 3494. Determine h so that z(h) = 0.\nAnswer: -4, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 87, 110, 151, 216, 311?\n\"Answer: j**3 + 3*j**2 + 7*j + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 7*l**2 - l - 4. Calculate v(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**2 - 2008797*k + 194881536 = 0.\nAnswer: -669696, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 1\/24*u**6 + 0*u**5 + 0 - 1\/6*u**3 + 0*u + 0*u**4 - 7*u**2. Find the first derivative of m(o) wrt o.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10500 by -175.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/(-6)*(-9)\/2. Let j = -9 - u. What is the highest common factor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 68*p - 72*p - 227*p - 4 + 7.\nAnswer: -231*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 10. Let m(d) = 36*d - 36*d - d**2 + f*d**2. Let w(o) = -4*o. Determine m(w(i)).\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -7\/71 (c) -9 (d) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2854*x = -6056*x + 3017*x + 11470 for x.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*f - 2*f - 581175000. What is f rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 15*u + 3. Let p(w) = 8*w + 1. Calculate 3*d(z) - 5*p(z).\nAnswer: 5*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*s - 4 + 6 + 3 - 5*s wrt s.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-34)\/10 - -4)\/(5\/(-50)). Put 5, -3, s in descending order.\nAnswer: 5, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64448 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 586461429 a multiple of 1311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 29 + (1 - -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 - 2)\/(0 - 1). Is h > -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2. Let s(a) = 2*a + 1. Let o(f) be the first derivative of -7*f**2 + 5*f - 12. Let j(x) = o(x) - 4*s(x). Give w(j(h)).\nAnswer: -484*h**2 + 44*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 553226 + 553233 - 1106472.\nAnswer: z - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.219 at least as big as -140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 11417*w + 194780. What is k(-17)?\nAnswer: 691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 1183*a**2 + 2*a. Let c(d) = 3548*d**2 + 7*d. What is 2*c(t) - 7*y(t)?\nAnswer: -1185*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46024, 92046, 138068, 184090, 230112?\nAnswer: 276134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*c - 5)*(-635*c + 635*c - 2*c**2 + 24).\nAnswer: -4*c**3 + 48*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8 + 0)*(-4)\/(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 19 = -17. Let c be (-61)\/(-5) + (-1)\/5. Let i = -6 - -13. Solve 3*g + 2*h = i*h + c, -3*g + a = 5*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -345 - -350. What is the second biggest value in -0.5, -3, u, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -46, -4\/9, 0.17, 0.3 in descending order.\nAnswer: 0.3, 0.17, 1\/6, -4\/9, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/20 and ((-10)\/24 + 2)*21\/(-14).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6 - 2)*(9633 - 9637 + 3*n**2 - 5335*n + 4599*n) to the form u*n**2 + c + o*n and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -205, 67, -4 in ascending order.\nAnswer: -205, -4, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 9 - 1\/2*i**3 - 21\/2*i + 4*i**2 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -184.87 + 189. Round g to one decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -835 divided by -210166.\nAnswer: 835\/210166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2223835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4223.5 millimeters in centimeters?\nAnswer: 422.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 431 - 445 + q + 5*q**2 + 7*q**2 as f*q + a*q**2 + m and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 + l - 1. Let i(k) be the second derivative of k**4\/2 - 65*k**3\/3 + 1025*k**2 - 44*k. Let z(w) = 2*i(w) + 4*t(w). What is q in z(q) = 0?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7332 is divided by 93.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, -0.3, -8\/9?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/3 - 9*x**2 - 19*x - 29\/3.\nAnswer: (x - 29)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(95) + (-2*1*sqrt(95) - sqrt(95)) + sqrt(95))\/sqrt(5))**2)*-2 + -5.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*f - 66*f - 39*f in the form a*f + p and give a.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1863 - -1317. List the prime factors of n.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11704 and 4446.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 273*r**3 - 2 - 266*r**3 - 2*r + 4 as a + y*r**3 + g*r + n*r**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 488?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 10*c - 29. Determine p(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 342638.7mm in nanometers?\nAnswer: 342638700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4125817?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 3*l + 3144, -71 - 1515 = -2*d + 2*l. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -317 + -12?\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1128\/8*-7*24\/(-9). Suppose -3*q - h = -11*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00207255816 rounded to 6 decimal places?\nAnswer: 0.002073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + 1001?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(85)*3 + (sqrt(85) + (3*sqrt(85)*-3 + sqrt(85) - sqrt(85)) - sqrt(85)))\/((sqrt(180) + 4*sqrt(180)*-2 + sqrt(180))*-4).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 1:56 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n + 8 = 2*q, 4 = 2*q - n. Suppose -3*x - 2*z + 711 = q, -x - 2*x - z + 711 = 0. Suppose d - x = -2*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 29*g - 2401. Let j be h(83). Solve 0 = 843*b - 838*b + 2*u + j, u = -4*b - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/15)*g)\/g**(-1))**25)**(-40) assuming g is positive.\nAnswer: g**(-6200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339451 is divided by 317.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 99*g + 31. Let z(f) = 124*f + 31. What is -4*o(b) + 3*z(b)?\nAnswer: -24*b - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from djjiideewwwwwiieiiw?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8*n**2 - 81*n + 17. Let f(o) = -15*o**2 - 162*o + 33. Let x(w) = -6*f(w) + 11*q(w). Let c be x(-40). Which is smaller: -52 or c?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 6, b: 9, m: 1, c: 2}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 1\/20*x**5 + 13*x + 1\/4*x**4 - 5\/6*x**3 - 5\/2*x**2 + 0. Let g be t(-4). Is g >= -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 741806.7 micrograms?\nAnswer: 741.8067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 572 + -239. What is the units digit of y\/5 - (-5)\/(25\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2158 = -2*k - 2140, -3*w - 25 = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1228756187.\nAnswer: 29, 53, 479, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 t when three letters picked without replacement from qqqqqqtqqqyqqyqqq.\nAnswer: 91\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 2*s + 3*s)*(1 - 1 + 2*s)*(2*s - 1 + 1)*(2*s + 0 + 0) - 3*s**4 - 7*s**4 - s**4 as j + a*s + x*s**2 + b*s**3 + t*s**4 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1727, -1691, -1655?\nAnswer: -1619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-14))\/(-4)*-3. Let m = -0.5 + 0. Suppose -8*h = -3*h + 25. Which is the smallest value? (a) m (b) h (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1472*q + 6*q**3 - 17*q**2 - 1472*q + 17*q**2.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 167 + (5 + 174\/(-18) - (-1)\/(-3)). Solve -12*x = 102 - q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 114716 and -0.7?\nAnswer: -80301.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**8\/1344 - y**6\/480 - 9*y**2. Factor m(z).\nAnswer: z**3*(z - 1)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1450)\/29)\/25)\/(-18)*(84\/(-8))\/7.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9523537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17\/42 - -2\/21. Let p = 0.59 + -2.59. Let s = 31\/4 + -101\/12. What is the second smallest value in s, b, -1\/2, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15063, 59388, 133265, 236694, 369675?\n\"Answer: 14776*x**2 - 3*x + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2533\/13 + ((-164)\/(-52) - 3). Suppose 3*z = -4*c + 1743 - o, -3*z = c - 396. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 5:04 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000056714 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1815963510.\nAnswer: 2, 3, 5, 60532117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-13)\/39)\/((-1)\/15). Sort -25, 2, z in ascending order.\nAnswer: -25, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 4, 3074?\nAnswer: 3074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c + 3*c - 8*i - 16 = -3*c - 7*c, c - 3*i = 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 0)*(99 - 8 + 9)*(2 - 1 + 2)*(-4*n + 2*n + n) as d + b*n and give b.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2803 and 9.\nAnswer: 25227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8551.581nm in centimeters?\nAnswer: 0.0008551581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -657045447 + 657045447 + 16*m**2.\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020822 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 + 9*d - 84. Calculate x(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 7*z + 1. Determine p(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + w**2 - 4*w - 3. Calculate d(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 12*l + 4*l.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6681751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 6:53 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 3:31 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d = -5*v - 17*d + 65, 3*d + 75 = 5*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 608846.\nAnswer: -6\/304423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from pjjuhkj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12813?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.0787 * -2386\nAnswer: 187.7782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 41*l + 135. Determine u(33).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52666 or -52665?\nAnswer: -52666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2\/15 - 904*c\/15 - 2142\/5 = 0.\nAnswer: -7, 459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2*q + 98 - 76 = 0, -18*j - 6*q - 37 = 173 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 3*a - 9 + 13, -5*i = -5*a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -390, -720, -1282, -2088, -3150, -4480, -6090, -7992?\nAnswer: -10198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 392029 and 229691?\nAnswer: 52139857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of n**8\/6720 + n**7\/360 + n**6\/120 + n**5\/30 - n**4\/6 + n. Let u(t) be the third derivative of a(t). Is 2 a factor of u(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -350520, -350580, -350654, -350748, -350868, -351020, -351210, -351444?\nAnswer: -351728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163184042?\nAnswer: 2, 7, 1319, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044957.\nAnswer: 3, 29, 12011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 564 times -7546\nAnswer: -4255944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*q + 540*q + 7205 = 0 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10116, 39970, 89740, 159426, 249028, 358546, 487980?\nAnswer: 637330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*h**3\/5 + 696*h**2\/5 + 467*h\/5 + 78\/5.\nAnswer: -(h - 78)*(3*h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5203, 20795, 46769, 83119, 129839, 186923?\n\"Answer: -m**3 + 5197*m**2 + 8*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.19017 and -1.6.\nAnswer: -0.304272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2356\/65 + 182\/5. Which is the closest to m? (a) -3 (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 5:42 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**5 + 1 - 1 - 3*m**5 + 5*m**5 + 0*m**5 + (-m**2 - 4 + 4)*(-7 + 3*m**3 + 7) - 4*m**5 + 0*m**5 + 2*m**5.\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 766*t - 147*t - 165*t + 865*t.\nAnswer: 1319*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/25? (a) 0.7 (b) 2 (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 4:47 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-one halves of a day?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/3*(-54)\/(-252)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.04, 5, 965?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31.8 + 17.5. Let w = y + 14. Let v = -77\/444 - -1\/148. Which is the third smallest value? (a) w (b) v (c) -0.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p - 197221 = -197221. Let j(m) = -m + 5. Let t be j(6). Let b = -1 - t. Solve 5*f + 3*c - 40 = 0, 2*f + p*f - 2*c = b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 - 19*q**2 - 11*q. Let u(w) = w**3 + 9*w**2 + 5*w. Let p(o) = -4*t(o) - 9*u(o). Suppose 23 = -3*j + 3*h + h, -4*h = -j - 13. Calculate p(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcriccrrriccrcrc. Give prob of sequence icc.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/l**(-15)))\/(l*l**(-12)\/l*l*l*l)*((l\/(l*l**(-23)\/l))\/l)\/l**23 assuming l is positive.\nAnswer: l**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/o**(5\/4))\/o**1)\/(o**(3\/5)\/(o**(-3)\/o*o)))**(-5\/6))**(-14\/9) assuming o is positive.\nAnswer: o**(-679\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.363288364 rounded to three dps?\nAnswer: -0.363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + p**3 - 4 - 2*p**3 + 2)*(-62*p**2 - 248*p**2 + 0*p**2).\nAnswer: 310*p**5 - 620*p**3 + 620*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/61580 and -107\/14.\nAnswer: 431060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 768 and 7584?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 12 = 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1337*s - 221 = -1354*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 15 = 3*x, 3*x + 2*a - 15 = 5*a. Suppose 1 - x = -r. Solve -t - 20 = r*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -80568 (b) 7 (c) -10 (d) -2 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 7*w**2 + 4*w - 8. Suppose 5*b - 14 = -44. Let t be g(b). Let l(n) = 2*n - 5 + 0 - n. Give l(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 9) to base 4\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(48) - (sqrt(192) + 2*sqrt(192))) - (-2*sqrt(768)*-5 + sqrt(768)))**2 + 1.\nAnswer: 167089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*w - 18, 5 = -w + 3. Let p = -2 - b. Let g = -3 + 5. Solve -4*d = -5*s + 15 + 20, 5*s = -g*d + p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 29. What is the third derivative of 2*j**2 - 16*j**3 + 15*j**s - j**2 wrt j?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15679\/(-450) + 3\/(-2 - -3). Let c = 191\/6 + q. Is c at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 12*v**2 + 2*v + 13. Let z be x(-12). Let w = -31 + 21. Is z smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79.44 + -78. Let r = 1.3 - n. Let h = r + 0.04. Is h bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.3. Let a(f) = f**2 - f - 2. Let v(m) = m**3 + 7*m**2 + 7*m + 8. Let i be v(-6). Let p be a(i). Do o and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355460691.\nAnswer: 3, 1847, 64151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (-2 - (-15 + -1)) - (2 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + (7 - 7) - 4) + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/52 - (-1)\/(-2). Let x = -5.7 - 1.3. Let g = 4 + x. Which is the second biggest value? (a) v (b) -2\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 46\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -172*m + 143. Does 85 divide u(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14395, -52671, -116467, -205783, -320619?\nAnswer: -460975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 23*o + 80. Let m be a(21). Calculate the highest common factor of m and 950.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 28. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33015 divided by 4.\nAnswer: 33015\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3768*c = 3982*c - 428. Factor -3\/5*u**4 + 0 - 3\/5*u**c + 0*u - 6\/5*u**3.\nAnswer: -3*u**2*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 + 8\/(-140)*185. Sort j, -0.18, -1\/10 in descending order.\nAnswer: -1\/10, -0.18, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 1506*g**2 + 137760*g - 13641600.\nAnswer: 3*(g - 58)*(g + 280)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 6*u + 6. Let m(p) = 2*p**2 + 11*p - 11. Let j(w) = 4*m(w) + 7*v(w). What is the units digit of j(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*s. Suppose x + 2 = -s*x. Calculate the smallest common multiple of (-148)\/(-18) - x\/(-9) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xixivfdxvvfvvvdvv. What is prob of sequence dix?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*n + 71*n - 78 = -4*c, n - 2*c + 29 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1 - (-26 + (12 - 0)) - 21) + -48?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 411 and 127136.\nAnswer: 381408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**3\/3 - 11*c**2\/2 + 14*c + 5. What are the prime factors of l(-6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 4, -1.\nAnswer: -1, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -71*f + 643. Let v be g(9). What is the greatest common divisor of 20 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1655*w**2 - 71445 + 71445 - 2*w + 2*w + 58*w**2.\nAnswer: 1713*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -106231, -425080, -956565, -1700686, -2657443, -3826836?\n\"Answer: -106318*u**2 + 105*u - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3164538 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2038*x - 1768*x + 6054*x + 2313*x.\nAnswer: 8637*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00050137 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(238) - sqrt(238))\/sqrt(7)*-6)\/(-2*sqrt(98) + (sqrt(2) - (-2*sqrt(162) - sqrt(162)))).\nAnswer: -6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1384078 = -31*l - 1382838 for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4040 = 12*m - 13*m. Suppose -m = 5*p - 10*p - 5*k, p + 4*k = 802. Round p to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5631193.76535 - -5631034. Let b = 159.8 + c. Round b to three decimal places.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3749291.\nAnswer: 7, 13, 41201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 309 and 14809031.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3288906000 to the nearest one million.\nAnswer: 3289000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + 0 - (9761 + -9821).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 2*b**2 - 72*b - 244. Calculate l(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1280)\/(-36))\/5 - (-247 + 253).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 1410?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17084203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2567 + 2571. Which is the fourth biggest value? (a) m (b) 0.3 (c) 2 (d) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, e: 1, z: 1, s: 1, c: 2, i: 1}. Give prob of picking 1 i and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 0.5. Let g be 13\/286*(-13)\/(-78). Sort t, -3\/5, g in descending order.\nAnswer: t, g, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/6)*c*(c\/(((c\/c**(-1\/19))\/c)\/c))\/c*c)\/((c*c*c**(-2\/5))\/(c\/(c\/(c\/c**15)))) assuming c is positive.\nAnswer: c**(-7117\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 2, -6, -3 in descending order.\nAnswer: 2, -3, -6, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*f - 26*f + 45*f - 123*f = 4830 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/18)\/((-6)\/18)*6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -514, -1028, -1556, -2104, -2678?\nAnswer: -3284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 - 90.6. Which is the fourth biggest value? (a) r (b) -3 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -70, -4 in ascending order.\nAnswer: -70, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 o, and 1 k when four letters picked without replacement from qxqokoxqoqooxokoxooo.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 2, -2027 in ascending order.\nAnswer: -2027, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f + 2. Let z be ((-5)\/2)\/(1\/(-2)). Suppose -5*p = q - 20 - z, -p = -4. Suppose d - 3 = 2, -2*x = q*d - 35. Let s(n) = n. Determine x*s(v) - o(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o + 3. Let m be c(-4). Let d(u) = 2*u - 7*u + 34328 - 34314. What is the units digit of d(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67880 - 20553. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3030.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p. Let j(z) = -12*z - 2. Let c(u) = j(u) + 10*r(u). Let y be c(-3). Let f(a) = a - 1. Let b(g) = -5*g + 6. Let x(q) = -b(q) - 2*f(q). Give x(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 17 = k. Let r = 43 - k. Suppose -r*g + 22*g = -338. Does 26 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/7 and -99\/8126 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*r - 31444 = -493*r - 19520 + 58300 for r.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 7 = -2*i - 37, -3*i - 4*l + 24 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -15. Suppose 5*b - 10 = 15. What is the greatest common divisor of h and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367*i**3 - 52*i**3 + 313*i**3 + 17*i**3 + 138*i**3.\nAnswer: 783*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 - (-2 - 0) - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -16. Let t be ((-7)\/(u\/20))\/(-2). Solve -t*a - 7 = 3*z, -5*a + 3 - 6 = 2*z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(12\/15)*2. Suppose -v = -2*b - 3*b. What is the third derivative of 3*l**2 - 5*l**b + 4*l**3 + 4*l**2 wrt l?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 14 = -2*p - 4*c, 5*p + 5*c = -5. Suppose 0 = 4*u - 2*b, 0 = 2*u + 3*u - 2*b + p. Let q = 5 + u. Solve q*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -52. Suppose -2*r - 16 - 10 = -4*h, 4*r + n = 3*h. Solve 12 = -h*w - 0*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(4\/(8\/(-4))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*a**2*k**3*m + 2*a**2*m**3 + 5282*a**2 + 5*a*k**2*m - 4*a*k**2 - 4*a*k*m + 70264*k**3*m**3 - 2*k**2 - 5*m**3 wrt k?\nAnswer: -102*a**2*m + 421584*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**4 - 3810*k**3 + 960000*k**2 - 77987840*k - 503316480 = 0 for k.\nAnswer: -6, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/4329 and 32\/258741.\nAnswer: 3363633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 6. Calculate the remainder when (-1 - -28)*(-6)\/(-18) is divided by g(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/13 - 6929976*y\/13 - 6929974\/13 = 0. What is y?\nAnswer: -3464987, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407 + 31*y - 63*y - y**2 + 32*y.\nAnswer: -y**2 + 407","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2 - 11\/(-5)). Let n be (t\/(5\/(-7)))\/1. Suppose -w + n = -26. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 14*a**2. Let r(u) = -1341770*u**2. Determine r(p(s)).\nAnswer: -262986920*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 205092221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -57, 18, 13971.\nAnswer: -57, -4, 18, 13971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 29*u**2 + 27*u + 36. What is the lowest common multiple of 104 and l(-28)?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86952 is divided by 636.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-30 - -27 - (-6)\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6336? (a) 2 (b) 0 (c) -0.5 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1968 + 3648 = -19*l - 0*l - 11*l for l.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 5 - 15)*(-x + 5 - 5).\nAnswer: 22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 74, -792 in descending order.\nAnswer: 74, -1, -792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 1255*m - 6. Is j(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-33 + 12 - 20)*(1 + 4 + 0)*(-2*x + 2 - 2) + (-x + 2*x + 0*x)*(3 + 1 - 2).\nAnswer: 822*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -0*j + 2*j - 12, -5*j + 2*t = 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - -3 - (-38)\/9 - 1. Which is the closest to -3? (a) -0.2 (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -44 and -0.139437645?\nAnswer: 43.860562355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*b = 52, 0*b + 2*b = 4. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*h - 6. Let x = -20 - h. Is -18 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 511*s - 512.\nAnswer: (s - 1)*(s + 512)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 44 = i - 457, -5*i = 2*y - 2104. Suppose t + i = 5*r - 2*r, 0 = -4*r + 4*t + 576. List the prime factors of r.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 654 = -3*z, x + x + 634 = 3*z. What are the prime factors of z?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -32*g**2 + 23571*g. Let h(q) = -q. Calculate h(u(w)).\nAnswer: 32*w**2 - 23571*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 351130819.6 to the nearest 10000.\nAnswer: 351130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94083 and 4983?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17764*f**3 - 38974*f**2?\nAnswer: 106584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18605001, 37210003, 55815005, 74420007, 93025009?\nAnswer: 111630011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.005.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**3 - 4*c**2 + 6*c + 8. Is w(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 6*k + 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.9, -0.4, -100, 2.\nAnswer: -100, -1.9, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - i**2 + 3*i + 5. Let y be b(-2). Factor -2\/3*f**y + 5\/6*f**2 + 0 + 1\/6*f**4 - 1\/3*f.\nAnswer: f*(f - 2)*(f - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*v = -1335, -a - 14*v + 287 = -10*v. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 1, -4*v - 488 = -5*n + 1. Calculate the remainder when 2228 is divided by n.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 4. Let n = -119 - -121. Which is the closest to 1\/4? (a) -5 (b) j (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 48*h**2 - 15*h - 5. Let f(r) = -24*r**2 + 8*r + 2. Let p(x) = 5*f(x) + 2*m(x). What is the second derivative of p(l) wrt l?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 0\/(6\/(-3)). Let c be p\/2 + -1 + 3. Solve 0*g + g - 4 = c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 21 = -j - 6, -2*j + 32 = 2*g. Let f = 27 - j. Suppose -4*d - 2*i + 70 = f, -3*d - i = -43. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43269002 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*v**6 - 36*v**4 - 6015*v**2?\nAnswer: 1200*v**3 - 864*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61\/107 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21413 (base 6) to base 4.\nAnswer: 232101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1408.847 rounded to the nearest integer?\nAnswer: -1409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -27. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j + 289 = 847. Let b = 8 - -1. Calculate the remainder when j is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 1\/12*p**4 + 0*p**5 + 3*p**2 - 1\/40*p**6 + 0*p**3 + 0 + 0*p. Find the second derivative of z(f) wrt f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5*6)\/((-222)\/740)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/7 + 17\/14. Let z be (-6)\/3 - (-4)\/8*1. Sort 0, 2, z, w in descending order.\nAnswer: 2, w, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2798487788 to the power of 1\/4, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000671 millilitres in litres?\nAnswer: 0.000000671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) 0.02 (c) 3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*q - 38. Suppose 5*v - 13 = -q, 3*v = -3*r - 225015. What is r rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 15*w + 2. Calculate the remainder when q(7) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -18*v - 17. Let s be f(-5). Let c = s - 52. Calculate the remainder when 60 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 2*m**4 - 2*m**2)*(40 + 30 - 226 - 176).\nAnswer: -664*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 4615949.1 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2708213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315299485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 425, 958, 1523, 2126, 2773, 3470?\nAnswer: 4223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -14*d - 95. Let h be m(-7). Let f(g) = -7*g**2 - 18*g + 4. Let c(q) = -13*q**2 - 33*q + 8. Let l(i) = 6*c(i) - 11*f(i). What is l(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 2\/7 (c) 0.5 (d) -0.5 (e) 0 (f) -144\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 9 = -8*m + 5*m, -8 = -4*l - m. Let x(u) = -u**3 + 2*u**2 + 3*u - 1. Give x(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -700cbd (base 15) to base 10.\nAnswer: -5318503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 5*s**2 + 5*s. Let l be (1 + 1)*(-8)\/4. Let g be q(l). Let u = 21 - g. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by 85\nAnswer: -71\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 340*y - 337*y. Let p be ((-57)\/(-114))\/(0 + y\/242). Calculate the highest common factor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*s, 5*h + 4*s - 245 = 6. Suppose -h = -22*o + 257. Calculate the remainder when 55 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154906 and 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4 + 1. Find the second derivative of -3*v**4 - 2*v**3 - v - v**4 + 2*v**i wrt v.\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 1)*-1 - 8. What is the units digit of ((-22)\/l)\/(2\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + 2*h**2 + 2*h**2)*(1 - 2 - 1) + 2*h**2 + h**2 - 4*h**2 - 2 + (1 - 1 + 2*h)*(-2*h + 0*h + h).\nAnswer: -h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 10*n**2 + 12. Calculate the remainder when q(-11) is divided by 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*i**3 + i**3 - i**3 - 5*i - i**4 wrt i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 5*u + 32. Suppose 0*w - x + 4 = -w, 34 = -u*w - 5*x. Let y(j) = -3*j + 5. Determine y(w).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49333439*n**4 + 39*n**2 + 306012?\nAnswer: -1184002536*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1916220*x**2 - 1084*x + 5098 wrt x?\nAnswer: 3832440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -16240*l**3 + 0 + 803\/2*l**4 + 0*l - 5\/2*l**5 + 9600*l**2 = 0?\nAnswer: 0, 3\/5, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11301212 (base 4) to base 14\nAnswer: 8898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880)*-2 - sqrt(2880) - (sqrt(45) + (-3*sqrt(720) - sqrt(45))))\/((sqrt(576)*-6)\/sqrt(4)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 13833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(448))*-3 + (sqrt(448)*3 - (sqrt(28) + sqrt(112)*2)))**2 + -4.\nAnswer: -60*sqrt(7) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17, 146, 425, 908, 1649?\n\"Answer: 9*r**3 + 21*r**2 + 3*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 2. Let f = -20344.2 + 20344. Which is the closest to q? (a) 3 (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106954842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76360 is divided by 25359?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 22 (b) -2\/9 (c) -0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 208876152 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 560973, 561135, 561287, 561423, 561537, 561623?\n\"Answer: -i**3 + i**2 + 166*i + 560807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-243)\/270)\/((-3)\/(-5)*-1). Which is the closest to 0.3? (a) -5\/4 (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -16\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99273 (base 13) to base 2.\nAnswer: -1000011101100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*251355.\nAnswer: 754065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/(g*g**(2\/3)*g)*g*g))*g)**43\/(g\/(g\/g**0))**32 assuming g is positive.\nAnswer: g**(172\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, m: 4, y: 3}. What is prob of sequence yyy?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 10*l + 24. Let a be o(-8). Suppose 0 = -3*s - 25 - a. What is the third biggest value in s, 0, -2, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -880 = -6*y + 446. What are the prime factors of y?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1593132 to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -861741\/35 - -49213\/2. Let o = v + 73\/5. Let f = -35947\/16 - -2246. Find the common denominator of f and o.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eq when two letters picked without replacement from qeoocecopc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 3:39 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 4*l - 84, 10*l - 13*l = -3*a - 48 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q. Let a(s) = -2806*s**2. What is a(o(x))?\nAnswer: -25254*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2649146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 49957, 49959, 49961, 49963, 49965?\n\"Answer: 2*t + 49955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -17. Let l(j) = -j**3 - 11*j**2 - 10*j - 10. Let p be l(-10). Let q = p + 25. Calculate the greatest common factor of q and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 605?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*y**3 + 4945815*y**2 + 1051497*y - 3 wrt y.\nAnswer: 18*y + 9891630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1412686.\nAnswer: 2, 11, 157, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1984 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + 21. Suppose 10 = -28*f + l*f. Put 1, f, -4 in descending order.\nAnswer: f, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/27 in 0.4, 0, 0.5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1188 - 1146.85. Let q = 41 - f. Let j = -0.05 + q. Which is the second smallest value? (a) -6 (b) j (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 2:57 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 - 1*(-15)\/2. What is the third biggest value in 0.16, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 959 + 1613 = 0. Find the common denominator of -131\/6 and h\/(-120) - 4\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1870506 and 7\/18894.\nAnswer: 1870506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 2, 7, -6, -5 in ascending order.\nAnswer: -6, -5, 2, 7, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - w - 205 = 3*w, v + 4*w = 237. Calculate the remainder when v is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -14*t**3 - 406*t**2 - 10806*t - 10. Let g(c) = -8*c**3 - 202*c**2 - 5402*c - 6. Let i(m) = -3*f(m) + 5*g(m). Factor i(h).\nAnswer: 2*h*(h + 52)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 + 3. Let p(c) = -6*c**2 - c + 10. Suppose 34*a - 212 = 26. Determine a*l(j) - 2*p(j).\nAnswer: -2*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -1 + -5 + -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/9*1)\/(10\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3554 + 5807. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -579212, -579203, -579170, -579101, -578984, -578807, -578558?\n\"Answer: 2*v**3 - 5*v - 579209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280 + 2*i**2 - 71*i + 269 + 71*i.\nAnswer: 2*i**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3317 - -11797. Round a to the nearest 100.\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10101201 - 21122?\nAnswer: -10200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgxxggxggxgxxxggxgg. Give prob of picking 3 g and 1 x.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -649, -2579, -5793, -10291, -16073?\nAnswer: -23139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, -131, 1, -1, 0 in ascending order.\nAnswer: -131, -61, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 2. Suppose 3*m = g, -3*m = 3*f - 0*m - 12. Let j(l) = -l**2 + 4. Let a be j(0). Solve 3*t + 29 = f*k, a*t + 3*k + 27 = 6*k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47245\/75592*(-32)\/(-770).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 15*a**2 + 4. Let u be i(15). Suppose -5*o + s + 150 = 0, -5*o + u*s + 0*s + 150 = 0. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1 - 5)*(15*d**2 - 9*d**2 + 6*d**2).\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*(j*j*j**(-6))\/j*j))**(2\/5))**42)**(-1\/31))**(-1\/46) assuming j is positive.\nAnswer: j**(168\/3565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 58.1.\nAnswer: 58.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1848\/(-220) + 1*8*1. Let z = 5 - 17\/3. What is the biggest value in o, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-2)*2\/(-66))\/(17050\/230175).\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82175?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23187133 is divided by 1656222.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 47*p**4\/12 + 53*p. Let g(x) = -3*x**2. Give f(g(i)).\nAnswer: 423*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 >= -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/436*27072\/(-16920)?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*x + 5 = 2*x, -4*x - 40 = -4*b. Suppose b*p + 47 = -8. Calculate the common denominator of 5\/11 and 1 + 3 + 12\/p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9 + 12)\/(3\/94). Suppose 3*k = -3*d + 18, -5*d + 25 = -4*k + a. Suppose -14 - 16 = -i. Calculate the remainder when i is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92758857709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74649*s = 74629*s. Factor s*d**2 + 0*d**4 + 4\/5*d**3 - 1\/5*d**5 + 0*d + 0.\nAnswer: -d**3*(d - 2)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 459, 462, 465?\n\"Answer: 3*o + 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 + 6630*a**2 - 2493984*a - 1382538528.\nAnswer: -3*(a - 1252)**2*(a + 294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -46.34 and -0.1.\nAnswer: -46.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(3*t**2 + t**2 - 5*t**2) + 2*t**2 - 6*t + 6*t in the form c + d*t**2 + z*t and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*p + 13*p + 5*p + 16. Solve -8*u + p = -8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3*t + 324*v - 18 = 323*v, -v + 4 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/7 - 30*m\/7 + 88\/7.\nAnswer: 2*(m - 11)*(m - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 125, -2, 3095, -3, 5 in decreasing order.\nAnswer: 3095, 125, 5, 2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-11\/3)*q*q*q**(-9))**39)**(2\/11))**(4\/11) assuming q is positive.\nAnswer: q**(-3016\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*k + 19. Let v be 11 + 24\/8 + -10. Solve -v*i + 3 - k = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 2, 57, -5 in decreasing order.\nAnswer: 57, 2, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from {y: 2, q: 1, n: 1, u: 1, l: 1, r: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from {e: 5, u: 1, p: 3, x: 1, v: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 390\/45229 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19\/4 (b) 45.48 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -49. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-4))\/1*(-1064)\/(-798))\/((-1)\/(-51))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**2\/2 - 14*p + 37. Give k(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -508 - -1525\/3. Suppose -4\/3*s**3 + y - 7\/3*s**2 - 2\/3*s = 0. Calculate s.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4443073 is divided by 3474?\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 3*b - 3. Let n be i(7). Let v = -1042\/41 + 10\/123. Let f = n + v. Which is bigger: f or -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -126188*z**2 + 32680*z.\nAnswer: -252376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 134.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 31*n**2 - 555*n - 55. Calculate g(19).\nAnswer: 7450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -419, -439, -459, -479, -499, -519?\n\"Answer: -20*b - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 6\/83, -0.5 in ascending order.\nAnswer: -0.5, -4\/9, 6\/83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1404*d**3 - 1 - 589*d**3 - 588*d**3.\nAnswer: 227*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -7 (c) -0.5 (d) -21\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 7703766?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -171*w + 1227. Give m(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3006, 1\/2, -2\/9, 1\/3, 0.4, -2\/55?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6787237 times -2\nAnswer: 13574474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21183 - 11230. Calculate the highest common divisor of 37 and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -167*s - 6. Let u(g) = -169*g - 5. What is -5*d(a) + 6*u(a)?\nAnswer: -179*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -157 + 136. Let u(w) = -w**2 - 19*w + 65. Let a be u(x). Solve -5*m + l + a = -1, -4*m = -2*l - 18 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-193 + 91*j - 244 - 93*j)*(0 - 2 + 1).\nAnswer: 2*j + 437","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 31*t**2 - 4*t - 108. Suppose -17 - 43 = -2*q. Calculate the smallest common multiple of a(-31) and q.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1362*p - 40160 - 43528 = 94*p for p.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3141122 - -1?\nAnswer: -3141121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-2 - -3) - 7. Let a(w) be the second derivative of -w + 7\/2*w**2 + 0 + 1\/3*w**3. Give a(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*r, r = 3*u - r. Suppose u = -2*i + 24 - 8. Suppose -31*k = -36*k + 360. What is the greatest common divisor of k and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 299*y**5 - 16593*y**4\/2 + 109993*y**3\/2 - 198483*y**2\/2 - 56807*y\/2 - 570 = 0.\nAnswer: -3\/13, -1\/46, 4, 5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(252))\/sqrt(2))\/(sqrt(16)\/(sqrt(648) - sqrt(648)*-1)).\nAnswer: 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29191 is divided by 143.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2. Let g(n) = 35*n + 2. Let h(c) = 176*c + 11. Let j(k) = 11*g(k) - 2*h(k). Give j(x(a)).\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6288?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1326 + 1335. Calculate the highest common factor of p and 78.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 + 1.19. Let z = 2427 - 2428. What is the second smallest value in 2, z, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*a - k, -2*a + 4*k + 5 = 19. Let t be a - (4 + (-5)\/1). What is the highest common factor of t and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 117*h**2 - 121*h - 346. Give i(-118).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-20) - 176\/10. Let a be 4 + (m\/14 - (-14)\/49). What is the second derivative of 222 - 222 - 19*u + 30*u**a wrt u?\nAnswer: 180*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16308030 - -5?\nAnswer: 16308035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7519 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-78)\/(-4) + 5\/(-10). What is the greatest common factor of 95 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + 21\/6 + (-1017)\/(-2) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/5 and 12 + 475786\/118950*-3.\nAnswer: 19825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2463178080 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 0*o + 8*o)*(3*o + 4 - 4) + o**2 + o**2 + 0*o**2 - 1 + 1 + o**2 to k*o + b*o**2 + i and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*a + 13, -3*a = -4*s - 5*a + 10. What are the prime factors of 26 - -3 - (-5 + s)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1743604.\nAnswer: 2, 349, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 0*k + 1\/160*k**6 - 1\/60*k**5 + 1\/840*k**7 + 15 + 0*k**3 + 0*k**4 + k**2. Suppose r(z) = 0. What is z?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-12)\/(-8)*16\/(288\/21)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 34. Suppose j = -3*q + 4*q - 15, -c*q - 37 = 2*j. Let z = 15 + j. Is 2\/71 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 40 = -2*t - 2*r, 0 = 4*t - 3*r - 40. Suppose 0*k - t = -2*k. Calculate the remainder when 35 is divided by 55\/3 + k\/(-15).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + q + 8. Calculate the remainder when 23 is divided by (18\/(-4))\/(q\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 105, 63, -15, -141, -327, -585?\nAnswer: -927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*d**4 + 8*d**3 - 262 wrt d?\nAnswer: -80*d**3 + 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 5. Let v be (-72)\/g - 4\/7. Suppose p = -2*p - 3, -2 = -o - p. Solve 4*h + 8 = 0, 0*u - u + o = -v*h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2*v\/((v*v\/((v*v**(-5))\/v))\/v)*v)**(-4\/33) assuming v is positive.\nAnswer: v**(8\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.7055868 rounded to 2 decimal places?\nAnswer: 70.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -2\/7, -0.01, -13 in decreasing order.\nAnswer: -0.01, -2\/7, -13, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-13 + 10 - (0 - -7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 - 23840*g**2\/7 + 119150*g\/7.\nAnswer: 2*g*(g - 11915)*(g - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 42 = 10*k. Let c(r) = 4*r**2 - 1. Let s(n) = 12*n**2 - 2. Let u(d) = -13*d**2 + 2. Let y(h) = 6*s(h) + 5*u(h). Give k*y(b) - 5*c(b).\nAnswer: b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - f**2 - 3*f + 12. Let c(i) = i + 1. Let y(q) = -b(q) - 2*c(q). Let x be y(0). Let h be 4\/x + (-10)\/(-35). Round h to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*11\/(66\/(-2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**5 - 2*k**5 - k**5 + (-2*k**3 + k**3 + 0*k**3)*(5*k**2 - k**2 + k**2) - 3*k**5 + 2*k**5 - k**5 + (3*k**3 - k**3 + 0*k**3)*(-k**2 + 3*k**2 - 4*k**2).\nAnswer: -9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101431 (base 5) to base 11.\nAnswer: 66a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 21 + 15 = 0. Let y be ((-1 - t) + -1)\/(-6)*3. Solve -21 = 5*v + 3*f, y*v + 7*f + 16 = 5*f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4065 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 106785196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27.23 - -22.23. Put -0.301, 0.2, -2, w, 1 in descending order.\nAnswer: 1, 0.2, -0.301, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*b = -223*b - 10 + 46 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 684.4677mm to kilometers.\nAnswer: 0.0006844677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9 - 9413?\nAnswer: -9408.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 50 + 10. Let b be 2\/(-11) + g\/132. What is the second biggest value in b, -4, 5\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = f - 3, -3*f + 14 = l + 19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 269331 divided by 5\nAnswer: 269331\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*j - 6*j. Solve 2*c + 2 = j*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113024855 to the power of 1\/2, to the nearest integer?\nAnswer: 10631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 9. Let z = 3 - b. Suppose -z*p + 2*o + 140 = 39, -128 = -4*p + o. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.2? (a) -3 (b) 2 (c) -4 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 231?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.999893 + -18. What is d rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**5 + f**4 - 9*f**3 - 24*f**2 - 91*f?\nAnswer: 60*f**2 + 24*f - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from mmxcmmjmmgcj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-3 - 3) - 20) + 7 - 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406293 is divided by 25393.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -9 - (-52 + 52) - (-1 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (588\/(-16))\/(-7) - (-3 - (-39)\/12). Suppose -4*j - 28 = -4*z + 7*z, z = j. Let c be -1*(-3)\/(-3)*z. Solve -g - 1 = -4*l + 2, v*g = -c*l - 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/40)\/(459\/(-1632))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 - (0 + -2 + 41) - 21?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1623 and 18.\nAnswer: 9738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*s - 795 = -5*s, 2*r - 410 = 2*s. Let i = -134 + r. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2988347 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {a: 8, j: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(4 + sqrt(7) + sqrt(14)\/sqrt(2)) + 5 - ((1 + sqrt(112) - sqrt(7))**2 + 5 - sqrt(42)\/(sqrt(12)\/(sqrt(2)*1))).\nAnswer: -69 - 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 4 - (18 - 16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + (9 - 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -217 + 160 - h - 2952*h**3 + 55 in the form w*h**2 + k*h**3 + g*h + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 111\/3*(3 - 0) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u = -3. Suppose -4*y - 2*o = -6, y + 2*o = -2*o - 16. Suppose -13 = -5*b - 2*i, -8*b + y*b + 4*i = 12. Put u, b, 3, 2 in increasing order.\nAnswer: u, b, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 10. Let i(p) = 1. Calculate 6*i(c) + o(c).\nAnswer: c + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 308.\nAnswer: -1540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**4\/7 - 3127*s**3 + 87573*s**2\/7 + 3127*s - 87572\/7 = 0.\nAnswer: -21893, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 13554042?\nAnswer: -13554044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3810207.\nAnswer: 3, 727, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126.09 - -800.19. What is h rounded to the nearest 10?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3668 - -3668. Suppose -4 = 2*x - 10. Sort -1, 17, b, x in descending order.\nAnswer: 17, x, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -115393, -230921, -346583, -462379?\n\"Answer: -67*x**2 - 115327*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -332000 (base 6) in base 16?\nAnswer: -6c00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 8671.565 to the nearest one hundred.\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118 - -308. Let d = a + -89. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*r - r + 3*r)*(r - r**3 - r).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4*-343412\nAnswer: -1373648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572728 is divided by 572404?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 238\/98 - 6\/14. Suppose 5*x - 1 = 4. Let t = b - x. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - -582aba6?\nAnswer: 582abb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 88352, 176704, 265056, 353408, 441760, 530112?\n\"Answer: 88352*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2632)\/10528)\/((-2)\/432). Suppose j + b + 57 = 219, 3*j = -5*b + 486. Calculate the highest common factor of j and o.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*x - 4*x - x)*(-4*x + 3*x + 3*x) + 0*x**2 + x**2 + x**2)*(-4*x - x - 2*x + (3 - 5 + 3)*(2 - 2*x - 2))*(-2 + 5 + 1).\nAnswer: 72*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**2 + 2*a + 1. Let x be o(-1). Let d = 10 + x. What is the first derivative of d + 0 + 5*i - 2*i wrt i?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 13 - 12. Let q(p) = p - 2. Let b be q(m). Find the third derivative of 4*v**b + 0*v**2 - 3*v**3 - 3*v**2 + 4*v**3 wrt v.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) 16\/13 (c) 0.25 (d) -13\/5 (e) 1 (f) -9 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 504454.1 micrometers to nanometers.\nAnswer: 504454100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from {t: 4, a: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 2. Let h(x) = x**2 + 6*x + 15. Let f(g) = h(g) - 4*n(g). What is f(-14)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*r - 1\/4*r**3 - 1\/4 - 3\/4*r**2.\nAnswer: -(r + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/(6882\/592)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > -17184\/6311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**6\/40 + o**4\/24 - o**3\/6 - o**2. Let t be a(1). Is 2 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**5\/3 - 510*x**4 - 144526*x**3\/3 - 2323886*x**2\/3 + 26388112*x + 166492424\/3 = 0.\nAnswer: -658, -61, -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - z + 25. Let g = 9 + z. Suppose 0*v - g*d - 40 = -2*v, 16 = 4*d. What is the remainder when v is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(d*d**(-17))*d))\/d)\/d*d**(-15)*(d\/((d*d**7)\/d*d))**(-50) assuming d is positive.\nAnswer: d**315","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**4 + c**3*m - 19*c**2*m + 3*m - 79 wrt c?\nAnswer: 4*c**3 + 3*c**2*m - 38*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 23 - -3) + (-62 - -89)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16637 by -6.\nAnswer: 16637\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26346832 is divided by 91482.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.4, 13, 1, -10, -16 in ascending order.\nAnswer: -16, -10, -0.4, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67873763 by 5.\nAnswer: -67873763\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-12)*h*h**(-11\/4)*(h*h\/((h\/(h**(3\/22)*h))\/h)*h)**(3\/2) assuming h is positive.\nAnswer: h**(-72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 9093.\nAnswer: 1\/9093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 + 98*p + 320. Calculate t(-29).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 6*b**2 + 7*b + 3. Let z be u(7). Suppose 42*n - 37*n = 4*k - 7, 5*k + 1 = 3*n. Let g be (0 + z + n)\/4. Solve g = -y - 0*y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*d + 57*d + 34*d.\nAnswer: 38*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 6. Let i = 3 - o. Let k = 13.285 + -11.285. Which is the closest to 0.1? (a) k (b) i (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 5:07 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13416\/312 + 2 + -24?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -561 - 787. Suppose -w = -5*r + 398 + 23, w + l = 4*r. Is -2 - (1 + r)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -35*s**3 + 5*s**2 - 14*s + 18. What is p(2)?\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*t + 87*t - 2*t**2 - 267*t + t**2 - 53 + 85*t to v*t**2 + i*t + s and give s.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 123.87? (a) -1\/2 (b) 0 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 227.8429l in millilitres?\nAnswer: 227842.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 712701\nAnswer: -16\/237567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 373253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 13538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + -2)*(-6 - -7). Find the second derivative of -12*v + 11*v**2 - 6 + 6*v**4 + 5 - 3*v - 4*v**p wrt v.\nAnswer: 24*v**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5702993.93 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.2245 decades in centuries?\nAnswer: 7.12245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475180995041*u**2 + 3*u**3 + 475180995041*u**2.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 109470 divided by -445?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -51b (base 14) to base 4\nAnswer: -33231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 632826, 632829, 632832?\n\"Answer: 3*c + 632823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17484541 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6972)\/(-581) - (-2 - -12). Solve a*h = g + 5, -76*h = g - 80*h + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-201 - -206) + (1 - -16) + 13.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -7*f**5\/5 + f**2\/2 + 8. Find the second derivative of s(q) wrt q.\nAnswer: -84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 934.0165 and 5.\nAnswer: 939.0165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-50)\/(-8) + ((-11)\/(-4) - 3). Solve -s + 1 = r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -5 + 9 + -4 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17257.8 - -17258. What is the second smallest value in -2, 21, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.468022l in millilitres?\nAnswer: 9468.022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 + -80. Put c, 5, 3\/8 in ascending order.\nAnswer: c, 3\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (69486\/30)\/((-17)\/(-85))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**4*m**(-4)\/m*m*m*m**(-6)*m*m*m*m**(-2\/7) assuming m is positive.\nAnswer: m**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.05641, -20, -16 in decreasing order.\nAnswer: -1.05641, -16, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*q - 4*p, -3*q = q - 2*p - 14. Suppose 35 - 5 = 5*j. Does 24 divide (10\/j)\/(q\/162)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1078772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-1)\/3*12\/44?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**5 - 60216*c**4 - 11032128*c**3 + 102541626*c**2 - 310877757*c + 312504318 = 0. What is c?\nAnswer: -19887, -194, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 109040 and 388?\nAnswer: 10576880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-195 - 205 + 518)*(3 + 1 - 2)*(3 + k - 3 + (0 + 0 + 1)*(5 - 5 - 2*k)).\nAnswer: -236*k","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Convert 7393a (base 14) to base 6.\nAnswer: 5551252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 7:51 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-288))\/((1\/(-10))\/((-62)\/(-155)))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s + 7*s - 252. Let r = 80 + s. Let n be 25899996\/(-7) - r\/(-7). Round n to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 * -84362.\nAnswer: 3205756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*15\/(-20)*2\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7377 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*u - 23*u + 532 = 0. Which is the closest to -3? (a) 5 (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -58*l**3 + 9*l**2 + 8*l + 1. Let q be o(-3). Suppose -15*u - 33 = -18*u. Suppose u*a + 3*a = q. Is 25 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4329985 a multiple of 935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 5*m - 4*y, m + y = 0. Let p be 48\/15 + (-1)\/5. Solve x - p*x - 4 = m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Let k(d) = -36*d - 9. Suppose 2*b + s + 9 = 0, -5*b + 5*s - 15 = -0. Let r(u) = 9*u + 2. Let q(o) = b*k(o) - 18*r(o). Determine z(q(x)).\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17411899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 933, 475, -3, -4?\nAnswer: 475","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -36. Solve 0 = -t - i*t - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -9\/2 (c) 0 (d) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*i + 8 = 0, -3*g + 2*i + 15 = 5*i. Let x be ((-15)\/10)\/(g\/64). List the prime factors of (x\/40)\/(2\/(-30)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c (base 13) in base 11?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (422*q - 422*q + 186*q**2)*(-4*q**3 + 0*q**3 + 5*q**3).\nAnswer: 186*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*m*n**4*x + m*n**4 - m*x**2 - 4*n**3*x**2 + 6*n**2*x**2 + 9*n**2*x + 3*n*x**2 wrt n?\nAnswer: 528*m*n*x + 24*m*n - 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -347 + 1577317\/4444 - (1 + (-10)\/8).\nAnswer: 90\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 109*u + 24. Let x be s(-6). Is (2 + 3)\/((-10)\/x) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 319 + -251. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -9*o**2 + 3*o - 5. Let h(c) = 13*c**2 - 4*c + 7. Let z(d) = -6*d + 74. Let j be z(10). Suppose j*f - 13*f - 5 = 0. Determine f*h(a) + 7*s(a).\nAnswer: 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 61*l - 705870 = -65*l, -l = -3*x + 423539. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*s = 216, -3*s - 272 = -3*i - 50. Calculate the remainder when 227 is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 6*v + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-241.\nAnswer: -24.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-95)\/(-16)*(-2)\/(-5) and -107\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 (base 7) in base 5?\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 12 = 0, u - 2*w = -3*u + 414. Is u a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114 - -201?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8*y - 27. Let c be o(4). Put 3, c, -2, -1 in increasing order.\nAnswer: -2, -1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*o = -41*o + 25. Suppose -42 = -o*u + 4*u. Calculate the highest common divisor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*s + 278 = -31*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Suppose u = -3*t + 89 - 11. Suppose -2*m = 4*r - 16, -r + 2*m + t = 2*r. Solve h = 4*h + r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + j - 21 = 0, -3*j - 33 = -7*b + 3*b. Let t(w) = 3*w**2 - 11*w + 4. List the prime factors of t(b).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-39)\/9)\/(1\/(-3)). Suppose -x + 5 = 0, w + 1 = 4*x - j. Calculate the smallest common multiple of 8 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(9\/(-6)) + -2. Let w(g) = -g**3 - 14*g + 271. What is the hundreds digit of w(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 13*o. Calculate u(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1807)\/2)\/(((-10)\/(-8))\/(-5)). Suppose -10 = 5*y, 3*y + y + u = 3*h. Suppose -h = -w - 3532. What is w rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 - 2920*r\/7 + 11712\/7.\nAnswer: -2*(r - 4)*(r + 1464)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 u when three letters picked without replacement from ygyiytuyyytgyituy.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 3*l - 2*l)*(0 + 1 - 4)*(-5 + 3 + 0) + (-116 - 168 + 383)*(1 - 1 - l).\nAnswer: -105*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -213*w**2 - 4297?\nAnswer: -426*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4 - 6*m + m - m**2 + 1. Let r be b(-5). Let a(y) = y**2 - 3*y**2 - r*y + 2 + 3*y**2. What is a(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 4*q - 915 + 941, 80*c - 3*q = -0*q + 175 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14543 - -14550. Let n(z) be the second derivative of 0 + 0*z**4 + 3\/49*z**o - 3\/35*z**5 + 0*z**3 - 9*z + 0*z**2 + 1\/35*z**6. Factor n(t).\nAnswer: 6*t**3*(t + 1)*(3*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272, -256, -230, -194, -148?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6 = 0, -18*o + 23*o = 4*p - 7053. Calculate the smallest common multiple of p and 9.\nAnswer: 5301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -4.06?\nAnswer: 8.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-12)*(27\/15)\/(2\/(-5))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -1 + 6. Let z be (-2)\/l - 10\/25. Suppose m + 5 = 2. Does m = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.313*564.\nAnswer: -176.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h**4*z**2 - 1970*h*z**2 + 2274*z**2 - 2*z + 2 wrt h?\nAnswer: -4*h**3*z**2 - 1970*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**3 - 13*i**2 + 120*i - 13. Let y(b) = -b**3 + 3*b**2 - 30*b + 3. Calculate -6*c(u) - 26*y(u).\nAnswer: 2*u**3 + 60*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -1\/8 (b) 0.02 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.122 + -36278652400.\nAnswer: -36278652400.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2. Let p(q) = -q**2 + 7*q + 6. Let n be p(7). Let c = -1 + n. Let s(y) = 0*y**2 - c*y + 5*y - 2*y**2. Calculate s(x(w)).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 5360.\nAnswer: -536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 228 = 172. Let i = 41 - 5. Calculate the highest common divisor of a and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2304) - (sqrt(2304) - 3*(sqrt(2304) + (5*sqrt(2304) - sqrt(2304))))) + sqrt(2304) + sqrt(2304) - sqrt(2304))*4)\/(5*sqrt(800)*-5*3).\nAnswer: -128*sqrt(2)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 4*b**2 - 2*b - 2. Let a(g) = -3*g + 3. Let u be a(0). What is the units digit of k(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*p + p + 3, 2*n - 2*p - 6 = 0. Suppose 10*b - 163 - 227 = n. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -24. Solve 4*g + 1 + 7 = 4*n, 0 = n - k*g - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -2.9. Suppose -1946*c - 112 = -1954*c. Let g be (-3240)\/224 + c + (-2)\/7. What is the closest to d in -4, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = 13*g - 6. Let k(s) = 3*s + 8. Determine k(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 4:17 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329, 605, 859, 1079, 1253, 1369?\nAnswer: 1415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 11*x**2 - 12*x - 1. Let k(o) = 2*o**2 + o - 1. Let t be k(2). What is the remainder when m(t) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}