diff --git "a/data/dm_maths/full_data_1/10856_11255.jsonl" "b/data/dm_maths/full_data_1/10856_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10856_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate 300 divided by -71.\nAnswer: -300\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.57903 rounded to two decimal places?\nAnswer: -27.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3666051.\nAnswer: 3, 43, 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-576)\/32*(-14)\/(-63)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1496598 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*1589\/(-14). Let a = -57 + u. Let v be (1\/(-3))\/(2\/4). What is the nearest to 2 in a, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 + 3*b**2 + b + 43. Determine j(0).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 710 and 7455.\nAnswer: 14910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2228*g**2 - 4012. Let j(m) = 3*m**2 - 5. Let a(n) = 6*j(n) - v(n). Find the first derivative of a(r) wrt r.\nAnswer: -4420*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**2. Let v(h) = -1495*h + 2346. Let o(m) = 23*m - 36. Let u(l) = 391*o(l) + 6*v(l). Determine n(u(y)).\nAnswer: -1587*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iawiwawa. What is prob of picking 1 a and 2 i?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 248\/41 at least -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x = 0. Suppose 3*s + 3*h + 3 = 0, -s + 2*h + 0*h = -2. Let b be (-4)\/9*((-108)\/(-27) - 13). Solve -2*f = -z - 9, -b*z + x*z + f - 1 = s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.2 (b) 3.5 (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*k - 3 = -197*k, -2*g = 3*k - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*v - 2*v**2 - 2*v - v**4 + 26 + 21 - 47 - 2*v**3 to a + x*v**2 + k*v**4 + c*v + i*v**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1272)\/((-808)\/9696)\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**2 - 48*c + 84 = 0.\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2382 - 959. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**5\/180 + 13*a**4\/36 + 55*a**3\/6 + 2397*a**2. Solve v(j) = 0.\nAnswer: -15, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4430 - 4426. Let a(q) = 12*q + 7. Let k(y) = 6*y + 4. Let t(l) = -3*a(l) + 5*k(l). What is the smallest common multiple of o and t(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/33 and -12\/7?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 82719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -11. Let k be (-5)\/((-2 - -4)\/(-2)). Suppose 3*v - 5*x = -6, -l*v + k*x - 2 = 7. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 3*o - 470 = 16*m, 3*o - m = -0*o - 127105 + 127120 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 38.399 and 0.2.\nAnswer: 38.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 1 - 2 - 9*v - 3 + 0. Let i be a(10). Put -3\/7, i, 2\/11 in decreasing order.\nAnswer: i, 2\/11, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 6*c - 108. Suppose -69925 = -5*k + c*o, -o + 27970 = k + k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -54879669.\nAnswer: -274398345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 244064 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 -54, -120, -236, -414, -666?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007 times -0.384?\nAnswer: -0.002688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9214575 is divided by 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i + 30. Let g be y(15). Suppose -x + 6*x - 80 = g. Let p be (1\/((-3)\/51))\/(-1). Is x at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 14*r + 614. Calculate g(17).\nAnswer: 954","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 611275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15*(-1 + 5\/3). Let m(c) = -131*c - 254. Let i be m(-2). What is the tens digit of u*(-4)\/i*-13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*3*((sqrt(128)*4)**2*2 + -3 + sqrt(128)*3).\nAnswer: 1080*sqrt(2) + 184185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 19 + 5*u)*(3 - 11 - 21).\nAnswer: -145*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2 + 10*i + 10. Let q be j(-7). Suppose -t + 82 = -4*h, -h = -t + 2*t - q. Let g = t - 46. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 205014 (base 6) to base 7\nAnswer: 66343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 2 + 2\/(-4)*0. Let v(j) = 9*j + 1. Give v(p).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1006 = -5*a - 4*b, 3*b = 4*a + 2*b - 788. Let x = 1 + 3. What is the least common multiple of 77\/x + (-12)\/(-16) and a?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - n + 10, -3*d - 2*n + 14 = 3*n. Let h be (-35)\/(-195) + d\/6. Which is the second smallest value? (a) -5 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0.8. Let w = -0.037 - 4.763. Let q = w + 5. Are q and l nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(11)*2*-1 + sqrt(11) + 1 + 5 + sqrt(539) + -1)**2.\nAnswer: 180*sqrt(11) + 3589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1182 (base 11) to base 8\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11862685, 11862707, 11862727, 11862745?\n\"Answer: -i**2 + 25*i + 11862661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45.55, 3\/55, 37 in descending order.\nAnswer: 45.55, 37, 3\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 9*l**2 - 10*l - 1. Determine x(5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29202.\nAnswer: 2, 3, 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5)\/d*d\/(d\/(d*d**(3\/2)*d))*d)\/(d*d**(-3))**(-11))**(-3\/19) assuming d is positive.\nAnswer: d**(141\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 28515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 2*v**2 - 2*v + 6. Let s be h(-6). Suppose -26 + s = 4*p. Does 14 divide ((-5)\/5)\/((-1)\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 991 + 10*s - 330 - s**2 - 349 - 338. Determine v(12).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*y - 16. Suppose -12047 - 1671 = -184*b - 470. Calculate the smallest common multiple of y and b.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1137, 2598, 4059, 5520?\nAnswer: 6981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-50))\/((-32)\/240).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/(-20) - -2) + 3. Let v be ((-2)\/4)\/((-5)\/60). Is o at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*s + 1015 - 47*s - 20*s)*(3 - 5 + 3)*(-3 - 2*s + 3).\nAnswer: -2*s**2 - 2030*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14367 divided by 4789\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 675052487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 10 = 3*m - 22, -2*m = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-12)\/135)\/(8\/(-78))*66\/(-11).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*a = 75, 3*a + 20 + 71 = 5*t. Let n be ((-1)\/(-186))\/(2\/(-718)). Let w = 3\/31 + n. Find the common denominator of t and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 8757.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11738159 is divided by 476.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**5 - 25*f**4 - 1458*f**2 wrt f.\nAnswer: -240*f**2 - 600*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 39\/(-3)*(-7 - 15\/(-3)). Sort -1, 0, h, 3 in descending order.\nAnswer: h, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, p: 2, g: 2, j: 3, e: 1}. Give prob of sequence gkpk.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498959209 a multiple of 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**4\/4 + 843*i**2. Let j(n) = -4*n**2 - 11*n. Calculate z(j(q)).\nAnswer: 24*q**2 + 66*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3702 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/5 - 23820956*f - 357314322\/5 = 0 for f.\nAnswer: -59552387, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 448 and 704?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 - 603520*b**3 + 18212423030*b**2 - 36423035520*b + 18211216005.\nAnswer: 5*(b - 60351)**2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -4 (c) 8548 (d) -0.09 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -l + 3. Let k(o) = -o**2 - 3*o - 2. Let j be k(l). Sort 2, 5, -5, j in ascending order.\nAnswer: -5, j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 25526048*d + 40723695406144.\nAnswer: 4*(d - 3190756)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-25))\/(-6*(-1)\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-33 - (25 - 54))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Let i be (-21)\/(-27) + u\/9. Let f = 2 - i. What is the biggest value in f, 0.5, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 8046?\nAnswer: -8046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 11 - 35*m - 90*m - 15. What are the prime factors of a(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1986\/7 - 551\/2. Calculate the common denominator of c and -3 - (-2)\/(24\/14).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 11. Let y = -9.1 - w. Let m = 5.5 - 0.5. What is the nearest to 2 in -2\/9, m, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o - 32 = 3*p - 33*o, 58 = -5*p - 2*o for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8216 and 291668.\nAnswer: 583336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-16) + (-36)\/8 - 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16055 and 2375?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-15 - -15) - (-1 - -3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 4 (c) 97\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*l - 4 = 1, 3*o = 2*l + 2. Calculate the remainder when (-150)\/o*(-44)\/33 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 516\/(-15) + (-1)\/((-25)\/10). Let p be (-70)\/22 + s\/(-187). What is the smallest common multiple of (-10 + 12)\/(p\/4 - -1) and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3314277*y**2 + 4699339*y**2 + 1183263*y**2.\nAnswer: 9196879*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -41*-3*(-6)\/9. Let d = -23 - r. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80978 and 532?\nAnswer: 1133692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1029) + sqrt(1029))\/(sqrt(27)*-3 - sqrt(3)))**2*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a meter in centimeters?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -9*n. Suppose -4*x - 8 = -3*i - 25, -5 = 2*x + 3*i. Let a(l) = -4 + x + 2 - 4*l. What is 7*a(j) - 3*f(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18845 and 2.\nAnswer: -18843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27454261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 50*u - 213*u - 11 + 9 + (-2 - 3 + 4)*(u - u + 2*u) in the form i*u + g and give i.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + sqrt(76)\/sqrt(4) + sqrt(19) - sqrt(76)\/(sqrt(4) + sqrt(324)).\nAnswer: 4 + 19*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93192, -11, 5 in ascending order.\nAnswer: -11, 5, 93192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2911 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 28 = r. Let z be -1*(-3 + 0) - -4. Suppose 0 = -z*v - 35 + 329. What is the greatest common divisor of v and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011 + -0.05?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00058820934 rounded to 5 dps?\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 2*s = 3*n - 26, 4*n + 5*s = -17. Solve -4*x - 2*t - 8 = n*t, -4*x - t = 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9490.335 + -105.635. What is i rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeeweweewee. What is prob of picking 3 w?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46613.\nAnswer: 7, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -1511*u**5\/60 - 2453*u**3\/6 - u**2 + 157. What is the derivative of c(v) wrt v?\nAnswer: -3022*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25201*o - 25189*o = 112776. What is the greatest common divisor of 381 and o?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (445\/(-3026))\/(5\/(-4)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 50*k**3 - 5*k**2 - 4*k - 2. Let n be b(-2). Let w = 722 + n. Suppose -12*l + l = -w. What is the remainder when l is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.192698 days to microseconds.\nAnswer: 535049107200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1148 - 1103320511.9.\nAnswer: -1103321659.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/18 + (-47056374)\/(-162) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*y - 5 = 3*y, 3 = 3*n - 3*y. Suppose -5*b + 0*b + 10 = 0. Let v be 3 + (b - (-63)\/(-12)). Is v at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*i + 7, v - 2*i = -5*i - 12. Find m such that -2*m + m**2 - 4*m**4 + m - 7*m**v - 2*m**3 - 7*m**2 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*n + 54*n = 50 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426422 is divided by 62.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) 1\/5 (c) -32 (d) -9.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 222891 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 276069*i*n**4 + 54*i*n + 1096*i wrt n.\nAnswer: 3312828*i*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 225 + -40722\/181. Let p = 567\/1448 - g. Let n = -96.1 + 96. Which is the fourth biggest value? (a) n (b) 0.3 (c) 0.2 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*1474*((-129)\/(-215) - 1\/1). Is z at least -2948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 1144395?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 s, and 2 g when four letters picked without replacement from ttltgtstltttttgt.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-2)*(624\/(-40))\/13. Solve s*n - 17 = 4*w, -4*n + 7 + 1 = 2*w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1, -1.2, 5, 1\/5, -0.12?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**3 - i**2 + i + 1. Let p(v) = -14*v**3 - 4*v**2 + 6*v + 94. Determine 4*m(d) - p(d).\nAnswer: 2*d**3 - 2*d - 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 + 2)\/(2*-1). Let v(c) = 2 + 16*c - g*c**2 - 11*c + 3*c**2 - 9*c. Calculate v(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 2. Let r(s) = 9*s - 8. Let d(m) = 5*m - 4. Let z(x) = -7*d(x) + 4*r(x). What is z(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -683 - -982. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 744 divided by 7.\nAnswer: 744\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/68 and 73\/4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.820742 kilometers to millimeters.\nAnswer: 4820742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5 = -0*x. Let y(m) = 4*m**2 + 2*m + 1. Let j be y(x). Suppose j + 21 = z. Is 24 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -8932942.\nAnswer: -8932942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.9217607 months to decades.\nAnswer: 0.0160146725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 - 3*m**3 + 2*m**4)*(-m + 0*m - m + (-2*m + 4*m - m)*(-1 + 1 + 1)).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 17, h: 1}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1b85d19 (base 14) to base 11\nAnswer: -7855022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Suppose 3*r + 120 = -3*y, t*y + r - 49 + 124 = 0. Let m be 18\/y - (-8)\/(-28). Which is the third biggest value? (a) m (b) 1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 8*g**2 + 18*g + 81. Let m be k(-9). Which is bigger: -2\/49 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n**(-1\/2)))**(27\/7)*n**(-9)\/n**1*(n**(-9)\/n*n*n**(-1\/13))\/(n*n**(-1))**(-29) assuming n is positive.\nAnswer: n**(-2419\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1114797637 to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*m = -32, 3*d + 0*d + 3*m - 63 = 0. Suppose 10 = 3*i - d. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8895.206 meters?\nAnswer: 8895206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165997, 663974, 1493927, 2655856, 4149761, 5975642?\nAnswer: 8133499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -5 (c) -0.51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2. Let k be 35 + 12\/(-2 + 4). Let d(m) = m + 3*m + 6*m + 2*m - k*m. Give z(d(w)).\nAnswer: -841*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26) - 1*sqrt(650))\/(sqrt(128)*-2 + sqrt(128)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*a**2 + 112 - a**2 - 29*a**4 - 793 + 10*a**4 + 8*a**4 - 13*a wrt a?\nAnswer: -44*a**3 - 14*a - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 4*i - 3. Let p be a(2). Let n be p\/1*(-1 + -2). What is the units digit of (-1)\/2*(n - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, n: 9}. Give prob of picking 2 n.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waa when three letters picked without replacement from aaaawcuawuucaaa?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -919*a - 1567. What is the ten thousands digit of b(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 168230*t**5 + 4*t**3 + 20*t**2 + 15*t - 102 wrt t?\nAnswer: 10093800*t**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*g - 18*g = 491028. Suppose -13*s - 4*s + g = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + (1 - 0\/(-2)). Let p = -0.18 + -0.02. Which is the closest to p? (a) t (b) -3\/8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4597045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h*h**(-1)*h))\/h)**(-1)\/(h**2\/h*h\/((h\/h**(1\/6)*h*h)\/h*h)) assuming h is positive.\nAnswer: h**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*k + 3*w = -292, -k - 3*w + 25 = 2*k + 16 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-54)\/(-72)*(-3)\/9 - 10297\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i + 36 = -12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*i + 4*i. Let h be (i\/(-12)*0)\/(-1). Solve -5*u = -h*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -688540 divided by 995?\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*((t\/t**(1\/4))\/t)\/t)**(-2\/25)*(t**(1\/2))**(-2\/43) assuming t is positive.\nAnswer: t**(-179\/2150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rddzzrzzzzzrrzzr. Give prob of sequence zrdd.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 9*v - 8. Let b be q(-10). Find the second derivative of -2*p - 2*p + 2*p**3 + b*p**3 wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)*-2*1)\/sqrt(5)*1.\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1524678?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28606180*a**5 - 71*a + 400659 wrt a?\nAnswer: 572123600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 105\/42 + 2\/(12\/9). Suppose c*w - 8*t - 3405 = -7*t, -w + 846 = 5*t. Does 23 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anaaaaan. Give prob of sequence ana.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 27*s - 310. What is q(11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 12. Let i be n(10). Suppose 3*h - 5 = 3*a - 7*a, 0 = -2*h + i*a + 22. Let m(j) = -j + 1. Give m(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 14 = 20. Suppose 3*l - 20 = 2*r, 5*l + x*r = 14 + 13. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -25*t**2. Let h(v) = 537*v. Calculate h(k(q)).\nAnswer: -13425*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/64*1*-4 + 4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 32 = -s, -4*h + 5*h - 5*s = 34. Suppose 0 = 2*g, -3*j - 5 = -3*g - 11. Suppose 2*n - 8 = -5*q + 2*q, n - 4 = 2*q. Solve n*w - h = j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44.5 + 44. Let j = -185\/24 - -63\/8. Which is the nearest to -2? (a) y (b) 2\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*u - 34, -4*u + 54 = u + 4*i. Let j be -3*3\/(-18)*u. Let w = j + 21. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1789984, -1789982, -1789980, -1789978?\nAnswer: -1789976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*r*t**3 - 137286*r*t**2 - 2*r*t + 286*t**3 wrt t?\nAnswer: -324*r + 1716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 6*c + 0*c + (0 + 1 + 0)*(0*c + c - 3*c))*(-8 + 1 + 2) + (-25 - 27 + 13)*(-6 + 4 - 5)*(0 + 0 - 2*c).\nAnswer: -551*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 3)*(-51 + 51 + 13*l**4).\nAnswer: -52*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**3*x*x)\/(x*x\/((x*x\/((x*x*x*x**7*x)\/x))\/x*x))*x**(-7\/4)*x*x**6\/x)**(-1\/10) assuming x is positive.\nAnswer: x**(-1\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 3*k + 0*k - k. Let g(o) = o**2. What is g(l(p))?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12.9 (b) 1\/3 (c) -1\/219 (d) 3\/2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (22\/4)\/((-22)\/(-132)) and 27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 1. Let d be (p\/(-60))\/(6\/16). Let v = 2.47671 + 0.52329. What is the third smallest value in d, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 94*h**3 - 4*h**2 + 2*h**2 - 4 - 130*h**3 as i*h**2 + x + l*h**3 + r*h and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*t + 71*t - 4746. What are the prime factors of t?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 432871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -8\/5 (b) -1\/3 (c) 0.154601 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 527128 divided by -4.\nAnswer: -131782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smsssmsm. What is prob of sequence sss?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (-69 + 88 - (-1 + 27))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1776*t - 996*t - 679*t - 481*t - 200532 for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 239414.81 to the nearest 10.\nAnswer: 239410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -438013, -876028, -1314047, -1752070?\nAnswer: -2190097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhhehe. Give prob of picking 2 e and 1 h.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -18*n**2 + 315*n - 80. Let r be f(17). Solve 26*h = -r - 31 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, g: 2, a: 3, l: 4}. Give prob of sequence yygl.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*r = 4, -4*j + 0*j + 40 = -2*r. Let s(z) = -z**3 + 7*z**2 + 5*z. What is s(j)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 10 - 4) + 2 + (-82 - (-40 + 22))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 195 - 83. Does 25 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -5. Let c = -0.3 + 0.2. Let w = 0.1 + c. Put k, -1\/7, w in descending order.\nAnswer: w, -1\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*9\/(-18)*-4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 13*j + 14. Let l(g) = 4*g + 5. What is 8*l(z) - 3*n(z)?\nAnswer: -7*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10*1*(-37)\/(38665\/(-38))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*f**3 + 2*f**2 - 1 - 11*f**3 - 4*f + 18*f**3 + (-5*f - 2*f + 19*f)*(-3*f**2 - 3*f**2 + 2*f**2) to n*f + a + c*f**2 + r*f**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 7*z = -18. Let s(v) = v**2 + v + 2. Let w be s(z). Suppose d - 20 = -w*d - 4*l, 0 = 5*l. Sort 2, d, 0.\nAnswer: 0, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + c - 20. Determine v(-7).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81360249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1025470000 rounded to the nearest 1000000?\nAnswer: -1025000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 14 + 58 = 0 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21033254 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 10:45 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**5 + 20*g**4 - 13*g**3 - 30*g**2 - 9*g.\nAnswer: -g*(g - 3)**2*(2*g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**3\/4 + 45*t**2\/4 + 99*t\/4 - 2541\/4 = 0.\nAnswer: -7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27057136, -54114281, -81171428, -108228577, -135285728?\nAnswer: -162342881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/3 (b) 0.4 (c) -20 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p + 2*p + 0*p)*(6*p - p - p) + (2 - 2 - 2*p)*(p + 2*p - 5*p) - 2*p**2 - 5*p + 5*p to f*p**2 + r*p + x and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**3 - 2305*u**2 + 2305*u**2 + 3*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 985250?\nAnswer: 2, 5, 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*t**4 + 10*t**2 + 3 wrt t?\nAnswer: -768*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djp when three letters picked without replacement from {p: 9, d: 1, j: 4, o: 2}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 200.6487548 to the nearest integer.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 80557 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 86 + 26. Let m = 116 + -76. Suppose -m*k + 500 = -30*k. What is the greatest common factor of k and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h + 3*h**2 - 8*h. Let k(j) = -8*j**2. Calculate k(i(a)).\nAnswer: -72*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -22, -25, -30, -37?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1290 or 1296?\nAnswer: 1296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -32, -57, -120, -239, -432, -717, -1112, -1635?\n\"Answer: -3*f**3 - f**2 - f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**5 + 3782*o**4 + 4*o - 12425 wrt o?\nAnswer: -40*o**3 + 45384*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = 2*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28360 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43692 and 41375?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 5) to base 12.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 78*c - 81*c + 9, 3 = c + 5*a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/18 + 195\/(-27). Let g(o) be the second derivative of 1\/20*o**5 + 2\/3*o**4 + 5\/6*o**3 - 4*o**2 + 60*o + 0. Give g(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*n + 405 + 135. Solve 0 = 5*u - 15, -3*a = -6*a + 5*u - n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11*g + 9. Let v(j) be the first derivative of -4*j - 166 - 5\/2*j**2. What is -6*d(n) - 13*v(n)?\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -f - 96. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64182*y = 63730*y - 15820 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277936.4 millennia in decades?\nAnswer: 27793640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 7:11 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1637, -3456, -5459, -7646, -10017?\nAnswer: -12572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 22, 2, -5, -3.\nAnswer: -5, -3, 2, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 39*w**2 - 4434*w - 4440. Let f(n) = 21*n**2 - 2217*n - 2220. Let p(y) = 11*f(y) - 6*v(y). Determine s so that p(s) = 0.\nAnswer: -1, 740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5441 is divided by 5432.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3) + (-40)\/(-105). Let y(o) be the second derivative of w*o**3 - 1\/42*o**4 + 0*o**2 - 2*o + 0. Let y(a) = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64\/17*u**2 - 4\/17 + 26\/17*u + 2*u**3 = 0. What is u?\nAnswer: -1, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.8963 - 0.1037. Is 0.206 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 3. Let m = -723720.97 + 723721. What is the fourth biggest value in 3\/8, -5, c, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 divided by 605?\nAnswer: 32\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**3\/3 + 1133*h**2 + 101006*h\/3 - 71872 = 0.\nAnswer: -3369, -32, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 848 - 738. Suppose -5*u + 0*v = -v - 95, -5*u + 4*v + p = 0. Calculate the greatest common factor of 42 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l. Let f = 18 - 23. Let k(s) = -4*s**2 - 3*s - 3. Let b(t) = -7*t**2 - 5*t - 5. Let w(p) = f*k(p) + 3*b(p). Calculate w(y(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20597*d*f*l**3*t + d*f*l**2 - 104*d*f + 88*d*l**3 - 7*d + 4*f*l**2 - f*l - 6*f*t + 2*l**2 wrt l.\nAnswer: 123582*d*f*t + 528*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 544422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(3\/4))**(1\/9)*(r\/(r\/r**11))\/r*r\/r**(-19) assuming r is positive.\nAnswer: r**(1081\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.9*5285570.\nAnswer: -57612713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**3\/3 + l**2\/2 + 4*l. Let x be m(2). Let v = -1 + 1.1. Which is the nearest to -1? (a) x (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-14)\/6*2\/(-7)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 = -2*u - i, -6*u - 5*i + 645 = -2*u. Calculate the highest common factor of u and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, 2, -0.5, -1\/4 in ascending order.\nAnswer: -0.5, -1\/4, 2, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*s - 53*u - 336 = -51*u, -4*s = 5*u - 46 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Let z = -57.24 - -56.84. Which is the fourth smallest value? (a) 0.3 (b) -0.2 (c) z (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 600 and 180?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwzwzwwwwwz. What is prob of sequence zwz?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i = -3*x + 3, 0 = 2*x + 5*i - 37. What is the highest common factor of 24 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 58946 = 14*h - 58850, -3*h - x + 5*x + 0*x = -28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((-27)\/45)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*109797.\nAnswer: -10979.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 111251 greater than 9233952\/83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 336\/80*(-50)\/(-35).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9*b - 34. Let c be i(4). Let z(w) = 2*w**2 + w - 1 - 1 - 3*w. What is the lowest common multiple of z(c) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a7 (base 15) in base 5?\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12126 and 2256?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 158503.153 and 197232.\nAnswer: 355735.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 206, 805, 1810, 3227, 5062, 7321, 10010, 13135?\n\"Answer: u**3 + 197*u**2 + u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (157*b**2 + 77*b**2 + 133*b**2 + 222*b**2 - 96*b**2)*(3 + 0 - 1) to p + j*b + q*b**2 and give q.\nAnswer: 986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 + 2 + w**2 + 9*w + 5*w - 13*w to n + h*w**2 + c*w + o*w**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (96\/(-384))\/(23\/(-184)*82\/2)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*v - 4*v - v)*(339 + 112 + 523)*(4 + 1 - 3).\nAnswer: 37012*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52485809 + 12?\nAnswer: 12.52485809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b**3 + 5*b**2 + 3*b + 2. Let y be v(-1). What is the lowest common multiple of 14 and y\/20*(-72)\/(-1)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/42 + 64\/(-231). Let a = -0.5 - -0.5. What is the second smallest value in a, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -386895000 rounded to the nearest 1000000?\nAnswer: -387000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 7*w + w - 11*w - 52, 28*w = -k + 16*w + 37 for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14877896*o**3 + o**2 + 99*o + 10354?\nAnswer: 89267376","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44936 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*a - 3*k, 14 = 3*a + 4*k. What is the common denominator of (273\/(-30) - 0) + a and 251\/(-66) - (-2)\/(-6)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80931 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 41371 = -p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (7 - 19)) + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73 - -108. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79\/115 + 2\/23. Let x = 42 + -72. Let y = -33 - x. What is the third smallest value in y, 1\/4, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(5) + (sqrt(20))**2 + -3.\nAnswer: sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = p - 1 - 22, 2*p = -3*m + 61. Let n(k) = -3*k - p + 23 + k. What is n(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + p = 101, 197 = 10*c - 4*p - 147. Calculate the remainder when 1732 is divided by c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjbnbunnnubnn. What is prob of sequence juj?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1042835531?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n**3 - 7*n**2 + 20*n + 63. Let b = 72 - 82. Is l(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81864 is divided by 257?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -271141, -0.37 in ascending order.\nAnswer: -271141, -1, -0.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/5))**(-3\/35) assuming u is positive.\nAnswer: u**(3\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l + 11. Let s(a) = -3*a - 23. Give 4*s(h) + 7*t(h).\nAnswer: 2*h - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 8:31 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(66)*-2*6 - sqrt(66))\/(sqrt(6) - (sqrt(6) - (sqrt(30)\/(sqrt(125) + sqrt(5)) + sqrt(6)))).\nAnswer: -78*sqrt(11)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 39 + 65*n + n**2 + n**3 - 66*n + (3 - 3 + n)*(-15*n**2 + 102 - 102) to r*n**2 + c*n**3 + p + h*n and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 e when three letters picked without replacement from {c: 1, k: 11, e: 1}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*v - 26*v - 17*v)*(v**2 - 2*v**2 - 3*v**2) to w*v + t*v**2 + o*v**3 + h and give o.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - (-6)\/6) + 23. What is the second derivative of -7*z**2 - 15*z - z**5 - u*z + 7*z**2 - 28*z**3 wrt z?\nAnswer: -20*z**3 - 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6468 divide 1038691941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - -11554c?\nAnswer: 115557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 4*c - 137. Let w be p(-15). Suppose q = -5*s - 1 + w, 3*q - s = 1. Suppose 3\/2*y + 3\/2*y**q - 3 = 0. Calculate y.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from kkkse.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 23. What is m(-10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*n**4 + 59*n**4 + 289*n**4 + (3*n**3 + 4*n**2 - 4*n**2)*(2*n + n - 5*n).\nAnswer: 388*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 21, 30, 37, 42, 45?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 3. Let x be 3 + 1*3\/3. Suppose f = -m + x. Solve 2 = -s - f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 < 761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1309 = 5*i - 4*d - 1378, 5*i - 2*d = 37 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 328*r + 1662. Calculate y(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zld when three letters picked without replacement from lzd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20881 - -3?\nAnswer: -2087a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.314 * -207635.\nAnswer: -65197.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 - (5 - (-2 + 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from {y: 19, o: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 137943429 a multiple of 1348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 470516 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 589*b - 592*b - 3*r - 75 = 0, -20 = b - 4*r for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 0*d - 2*d + 5*d**2 - d**3 + 0*d + 2. Let r be a(4). Let i = 22 - r. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -8. Let l(w) = -w**3 + 6*w**2 + 3*w + 3. Let p be l(z). Let t = p + -81\/4. What is the closest to -1\/2 in t, -3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.05 + -5.05. Suppose -2*f = 3 + 5. Let w be ((-3)\/f)\/(27\/(-24)). What is the third biggest value in w, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34*(-18)\/1377*(-3)\/(-10).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uumim. Give prob of picking 1 m and 1 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -16. Suppose -4*b + o = -2. Put b, 2, 4 in ascending order.\nAnswer: 2, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -14 + 584\/40 - 1. Put 5, x, -126 in decreasing order.\nAnswer: 5, x, -126","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - (2 + -1) - (-63 - -56).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = -3*q + 4*f + 95, 0 = -5*q - f + 457. What is the least common multiple of 124 and q?\nAnswer: 2852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 2, q: 1, m: 1, l: 2}. What is prob of picking 1 m and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -951 + 3491 = 5*u. Let n = u + -242. Calculate the greatest common divisor of n and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*3\/18*-3816. Let y be ((-1)\/2)\/(18\/x). Let b be y\/(-105) + (-33)\/55. Is 0 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99 - -9. Round x to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 1 - 1)*(-4 + 10 - 101).\nAnswer: 285*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/10 and -43\/881.\nAnswer: 8810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 54.\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 4*b - 14. Let c be o(-7). Suppose -5*u + 845 = 2*i - c*i, -3*u + 5*i = -501. Is 43 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2949940 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -179*z**3 - 11*z**2 + 65*z - 7. Let r(s) = 89*s**3 + 6*s**2 - 34*s + 4. Let t(p) = -6*o(p) - 11*r(p). Find the second derivative of t(h) wrt h.\nAnswer: 570*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13088 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.7399595 rounded to 1 decimal place?\nAnswer: 88.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 514 + -351. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 1777762*h. Let u(g) = -4*g. Give u(k(l)).\nAnswer: -7111048*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10382 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11\/8 of a millisecond?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -4*y + 2*a, -a = -5*y. Let p be (0 - 4) + y + 2. What are the prime factors of -2 - (1 + -12 - p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-6)*((3 - 1) + -6). Let p(n) = -65 + 65 - 3*n**w. Let x(u) = 17*u**2. Determine x(p(g)).\nAnswer: 153*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -206 - -205. Which is the closest to 0? (a) 0.1 (b) h (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-9 + 5) - (1 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(72\/60*(4 + -2) - 2). Solve 12*g = o + 8*g + 22, 27 = -o + k*g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 734973 take away 0.3?\nAnswer: 734972.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -27. Let p(q) = q**3 - 9*q**2 - 5*q - 5. Is 15 a factor of p(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 8:51 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 4 - 4 = 0. Let l(r) = 11*r + 31. Let f be l(s). Solve -5*t + f - 6 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 2*j - 2, -l - 3*l = -5*j + 13 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37816 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 3637, 0.6, -2\/11, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201 by -348.\nAnswer: 67\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + t = -17, 0*u - 5*u - 5*t = -35. Let i = 10 - u. List the prime factors of 244\/16 + (-1)\/i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 563.159 take away 298758207?\nAnswer: -298757643.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2906715*o + 7300982*o + 1784175*o - 237714*o.\nAnswer: 11754158*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1383 = -1123*g + 831*g - 1245 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcdldjjcl. Give prob of picking 1 j and 1 d.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 329 = -5*y + 319, 0 = 2*y + 9*w + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11\/8 + -13\/8. Let i = 46 + -100. Let g = -217\/4 - i. What is the nearest to a in -5, -1\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, 2, 0.2, -4 in ascending order.\nAnswer: -4, 0.2, 4\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.14 (b) 1\/2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 (base 8) in base 12?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 69 - 165 = 2*x, 0 = -4*t - 5*x + 504. Let i = 86 - t. Let s = i - -64. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = -4*r + 12, r - 9 + 3 = -o. Let y(g) = g**3 - 3*g**2 - 112*g + 54. Determine y(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/42*(-312)\/260?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 9 = -i + 29, -3*c = -15. Calculate the remainder when i is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t**2 + 21*t + 12. Let w be r(4). What is the third biggest value in w, -2\/15, 5, -2\/9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 81, 173, 311, 501, 749, 1061?\nAnswer: 1443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2702 is divided by 472.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**3 - 3*l + 2*l + 4*l**3 + (-4*l**2 + 3*l**2 - 2*l**2)*(2*l - 10*l - 2*l).\nAnswer: 29*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447441 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 93*j**3 + 2626*j**2 - 7919*j + 5300. Let u(o) = -447*o**3 - 13131*o**2 + 39594*o - 26496. Let k(h) = -24*m(h) - 5*u(h). Factor k(x).\nAnswer: 3*(x - 2)*(x - 1)*(x + 880)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67964940 divided by -125861?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -8*z**3 + 10*z**2 + 7*z - 6. Let q(t) = -t**3 + t - 1. Determine 14*q(m) - 2*y(m).\nAnswer: 2*m**3 - 20*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -172, 50?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73211, -73217, -73233, -73265, -73319, -73401, -73517?\nAnswer: -73673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -31 + (5 - 0) - (763 - 643).\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/13 (b) -4\/303 (c) 0.2 (d) -0.083\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**3 - i**2. Calculate the remainder when 11 is divided by g(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**4\/5 + 60*k**3 - 2859*k**2\/5 - 6942*k\/5 = 0.\nAnswer: -2, 0, 13, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**5 + 5*v**2 - 5*v**2 + (2*v**5 - 2*v**5 - v**5)*(3 - 11 + 5))*(5 + 0 - 4).\nAnswer: 4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344429899?\nAnswer: 11, 23, 1361383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**7\/840 + 7*t**6\/360 + t**5\/60 - t**4\/4 + 4*t**3\/3 + t**2 + 74. Let w(c) be the third derivative of p(c). What is w(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -43\/43546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.01754 to 1 decimal place.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.4, -3, -1075?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (3 - (3 + 0 + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7947075 to 3 dps.\nAnswer: 0.795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -13. Let f be -3 - (-9)\/o - -8. Let h = 0 + f. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.114, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 106 = 5*o, -g + 15 = 4*g. Let y = o - -23. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 246*g**2.\nAnswer: 3*g**2*(g + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13 - 8*r + 13 - 2*r + 4 - 4 + (-3 + 6 - 2)*(r + 2*r - 2*r).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-112)*14\/(-12)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 8 - (1 - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10270.8 * 0.033.\nAnswer: -338.9364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87108 is divided by 142?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*o - 5 + 23*o - 81*o + 18*o)*(-o**3 - 2*o**3 + o**3).\nAnswer: 28*o**4 + 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*b**3*p + 161*b**3 - b*p - 2 wrt p.\nAnswer: -10*b**3 - b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-2)*((0 - -5 - 5) + -2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2 - 10*z**2 - z**3 + 12*z**2 + 1 + 2*z. Let a be t(2). Suppose -3*u + 0*u = -a*q + 18, 2*q = -4*u. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-495) + (-4)\/(-18). Which is the nearest to 2\/7? (a) 1.1 (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2))**2*2 + -2)*-3 + (sqrt(2) + -2 + -1 - sqrt(2)) + (sqrt(2) + (sqrt(2) - 2*sqrt(162)))**2.\nAnswer: 12*sqrt(2) + 497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107172447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 8*o - 9. Let s be k(-5). Let v = 23 + s. What is the second derivative of -2 + v*x + 2 - 2*x**4 + 8*x wrt x?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -534?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65.3 + -65. Put 1\/5, z, -4 in decreasing order.\nAnswer: z, 1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -1 + 31. What is the greatest common factor of 40 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 11*z**8\/336 + z**5\/5 - 44*z**2. What is the third derivative of p(f) wrt f?\nAnswer: 660*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78029, -77992, -77955, -77918, -77881, -77844?\nAnswer: -77807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000014334451 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsss when four letters picked without replacement from ssvssssssssvvss.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 0 = -4*v. Suppose 0 = v*h - 8*h. Suppose 3*a = m - 48, 3*m - 3*a - a - 124 = h. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -176 + 63. Let w = -108 - d. Solve -2*y + 4*y - 14 = -w*f, -4*y = -5*f + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*j = 21*j - 39 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 10*k. Let o be i(-1). Let p(q) = -q**3 - 9*q**2 + 8*q + 7. What are the prime factors of p(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by -1 + 1 - (-15 - 17).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + l + 1. Let j(r) = 6958*r**3 - 6956*r**3 - 2*r**4 - 50 + 18 - 2*r. Let s(c) = 2*a(c) + j(c). What is the derivative of s(o) wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5 - 15 = 0. Solve 0 = 4*k - 2*y + 24, 0 = -2*k + t*k + 3*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 7*r - 1. Let x be k(5). Let h = x - -17. Calculate the remainder when h is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -695*w = -475*w + 7480 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtv when three letters picked without replacement from {x: 1, l: 1, m: 1, t: 1, v: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -3*g - 2\/3*g**3 + 32 + 0*g**2. What is the first derivative of x(j) wrt j?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3483871.3 days?\nAnswer: 497695.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 49\/78 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154 and 32?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = i + 23, i + 4*i - 5*s - 35 = 0. Let m(d) = -15 - d**i + 4*d - 4*d - 18*d + 4. Is 21 a factor of m(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -102, -104, -102, -90, -62, -12, 66?\n\"Answer: c**3 - 4*c**2 + 3*c - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 43\/2 of a milligram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-6)*-38*-5. Differentiate -195*x**2 + 99*x**2 + l*x**2 + 46*x - 56 with respect to x.\nAnswer: -2*x + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1836 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 18*c + 21*c + 17 = 0, 0 = 2*n - 2*c - 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -0.09, -16, 0, -2\/7 in ascending order.\nAnswer: -16, -3, -1, -2\/7, -0.09, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2. Let k(c) be the second derivative of 31\/6*c**3 + 0*c**2 + 0 + 12*c. What is o(k(g))?\nAnswer: 961*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 483337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2 - 5*r - 2. Let c be j(5). Suppose 5*q - 97 - c = 0. Let w = 25 - 15. Calculate the remainder when q is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 21*u - 150 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**3\/2 + 2*m**2 - m. Let x = 3186 - 3186. Let r be q(x). Solve 5*g = -24 + r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + sqrt(21)\/sqrt(3)*-2.\nAnswer: -2*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - (-127 - (0 - -6)). Suppose -4*h - c + 2 = 0. Let g = 380411\/35 - 10870. Find the common denominator of g and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 27 = -3*q + 12, -3*q - 15 = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -4.1. Let c = -0.2 + a. Let j = c + -0.2. Put -0.1, -4, j in decreasing order.\nAnswer: -0.1, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 - 3*s - 3. Let n(r) = r**2 - 2*r - 2. Let w(t) = -3*n(t) + 2*p(t). Let h(b) be the third derivative of -b**5\/20 + 2*b**2. Calculate w(h(v)).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 703355 a multiple of 365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260505.\nAnswer: 3, 5, 7, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4 + 48*g**3 - 300*g**2 + 464*g - 210 = 0. What is g?\nAnswer: 1, 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -3 - 66\/121*33?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 16 = -14*z. Let s(h) = 11*h**2 - 3*h - 2. What is the smallest common multiple of s(z) and 11?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**3 + 33*c**2 + 17*c - 9. Give w(-16).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one fifths of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/5 (b) -0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 160745 + -86175. Is m a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66? (a) -6\/5 (b) -207 (c) -49.61 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) -0.2 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bll when three letters picked without replacement from {f: 1, b: 1, a: 3, l: 7}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2580963 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 3*r + 1 = 0, 4*q = -r + 4*r - 31 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 849336 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + (6 - (-4 + 8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/814698 and -121\/1410.\nAnswer: 4073490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/6)\/((-3476)\/(-5214))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 16*o - 26. Suppose -5*q - 5*a - 5 = 0, -3*q + 4*a + 20 = -5. Solve o = -w - 3*p, q*w = w + p + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + c - 2. Let j be n(2). Suppose 5*v = i + 3*v + 3, j*v = 3*i + 5. Suppose -3 = -2*w + 5*a - i, 2 = 2*w - a. Sort 6, 2, w in decreasing order.\nAnswer: 6, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13987*h*i**3 + 390*h + 18*i**2 wrt i?\nAnswer: -83922*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)*v**(-1)\/v*v)**(4\/7) assuming v is positive.\nAnswer: v**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, h: 1, l: 2, p: 1, n: 2, v: 1}. What is prob of picking 1 n and 1 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36\/57186559 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1*184\/(-12)*1782\/(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95565 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5\/2 (b) -0.3 (c) -126 (d) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5636.\nAnswer: 2, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*(4 + -6*sqrt(208))*6.\nAnswer: -360 + 2160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 97*z**4 - 64*z**2 + 7*z. Let w(s) = -32*s**4 + 21*s**2 - 2*s. Let v(c) = 2*i(c) + 7*w(c). Find the third derivative of v(o) wrt o.\nAnswer: -720*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 2 + 6, -5*i - 6 = 2*g. Let o = g - 3. Let x(d) = -d. What is the units digit of x(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144954283495 take away 1?\nAnswer: -1144954283496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015041857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 18 + 13 = 5*p, 2*t - 14 = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*f + 3. Let y be (f\/(-120)*-4)\/1. Let t = -3\/5 + y. What is the nearest to -3 in -1\/8, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(0 + 1)*-1 - (-4350)\/435?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345358 divided by 9334?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(150))\/(sqrt(80) + (-1*sqrt(80) - sqrt(80)) + sqrt(80) + sqrt(80) - sqrt(5)).\nAnswer: sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 403792 and 4.\nAnswer: 403792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 10*b - 17 - 12 in the form g*b + y and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 289650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3315 = m + 4*m. Calculate the common denominator of 19\/5 and (962\/m)\/(16\/(-6)).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -24. Let o = z + 9. Calculate the remainder when 130 is divided by o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 1:11 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*k = 2, 2 = -k - 0*k. Suppose -11 = -5*y + s*y. What is the remainder when (-8 - -53)\/(-1 + (-15)\/(-6)) is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.450294 minus -12412?\nAnswer: 12412.450294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (244\/24)\/(46*73\/(-20148))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -d - 2*v, 4*v - 20 = -4*d. Let q = d - 0. Let i(u) = 199*u + 2*u**2 - 199*u - 1. Determine i(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(42\/3))\/(8\/(320\/184)).\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -177*p - 20. Is r(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) + 32\/12. Let c = 361 - 348. Let y(w) = -4*w**2 + w - 7*w**2 + c*w**2 + 0*w**2 - w**3. Give y(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 37 + 83. Calculate the lowest common multiple of x and 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*z - 30247 - 2*z**2 + 60493 - 30246.\nAnswer: -2*z**2 - 36*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*o = 867, 18*u = 14*u + 2*o + 1134. List the prime factors of u.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25241913 + 3?\nAnswer: 25241916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3 + -0.3. Let r = 1 - 1.4. Suppose 6*i = -29*p + 32*p + 15, i + 5*p = -25. What is the closest to c in -2, r, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -42. Put h, 2, -3, -7 in descending order.\nAnswer: 2, h, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 114*b**2 + 1562241*b\/8 - 25695\/8 = 0?\nAnswer: -1713, 5\/304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 4 - 6 + 6*k)*(2*k**3 + k - k).\nAnswer: 8*k**4 - 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/5)\/(7\/(-35)). Let y = 17 - g. Is 4 + (-1 - -38*y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 13*y**2 + 187*y + 89. Let n be z(-14). Solve -h + 7 - n = 4*u, u = -5*h - 22 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2443 + 4 - (50 + -67). Calculate the greatest common factor of o and 462.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 q when four letters picked without replacement from jjqjqjjjjqjjjq.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/30)\/(39\/6 + -7).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 4:06 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 888\/(-51)*(-2)\/(-4). Let t = 1308\/119 + l. Let s(f) = 4*f - 3. Let p be s(1). Which is smaller: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3936962 or -3936959?\nAnswer: -3936962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 101101?\nAnswer: 110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -0.2, 5, 13, 4, 2.1, -2\/7 in descending order.\nAnswer: 26, 13, 5, 4, 2.1, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 21*z - 57. Solve 0 - 4 = 4*u - z*a, -4*u - a - 4 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74.9854 + 75. What is q rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -17*k - 2. What is z(2)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -149 - -148. Which is smaller: 3\/11 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*q**2 + 2\/9*q**3 + 0 - 2\/9*q**4 - 2\/9*q.\nAnswer: -2*q*(q - 1)**2*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*40\/24*(-4)\/20\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6770 and 5?\nAnswer: 6770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, s: 6}. What is prob of picking 3 s and 1 i?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -9*u + 29. Let g(d) = d**2 + 3*d - 15. Let m be g(-6). What is the units digit of z(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12846 - 0.26554. What is k rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 1, b: 1, g: 7, r: 7}. What is prob of sequence gy?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8967.329ml in litres?\nAnswer: 8.967329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53220 + -101100?\nAnswer: -3440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36774 is divided by 36752?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -16.07. Let x = h - -0.47. Put 0.5, x, 1\/4 in increasing order.\nAnswer: 1\/4, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -636483 divided by 3?\nAnswer: -212161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 215.8053 hours?\nAnswer: 776899080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d + 8*d**2 - 9 + 0*d - d**2. Suppose 11*n - 1043 = -988. Is m(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630861 is divided by 80.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**2 - 79*m + 158*m - 79*m. Let o(w) be the first derivative of -w**3\/3 - 1. What is r(o(d))?\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 40\/13 (b) 1 (c) 4.23 (d) 2\/51 (e) 3 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (2 + -8*2). Suppose 6*b = 4 + u. Suppose 0 = -5*s + 5*a + 160, -5*s + 0*s + 166 = -b*a. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/8 - (4 + -3). Suppose -4*w - 3*u + 194 = 0, w = -k*w - u + 48. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 13*o - 3913 = 5*y, -4*o + 5169 = 3*y. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 15\/2 and 8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhckvckhfc. Give prob of picking 1 c and 2 k.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 996*m + 73 = 923*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 79*h**3 - 326*h**2 - 608*h. What is the derivative of l(o) wrt o?\nAnswer: 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4)\/b**(5\/4))\/(b*b*b*b\/(b*b**4)*b**(2\/9)))\/((b*b**(-6))\/((((b*b*b*(b**(1\/7)*b)\/b*b)\/b)\/b)\/b)*(b**(2\/5))**(34\/7)) assuming b is positive.\nAnswer: b**(313\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9550377 rounded to three dps?\nAnswer: 0.955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -i - 30, -2*d - 35 = 5*i - 0*d. Let z(t) = 5*t**2 + 12*t + 7. Let p(l) = -9*l**2 - 23*l - 14. Let o(c) = -4*p(c) - 7*z(c). Determine o(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 13, -4, 649, 4 in increasing order.\nAnswer: -4, -3, 4, 13, 649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 8:09 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52851 divided by 223.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -5. Let w = 6 + h. Is w at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8819.\nAnswer: 8819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -7, -8 in descending order.\nAnswer: 1, -2, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -8*s. Let k(v) = -2*v. Let u(j) = -6*g(j) + 26*k(j). Suppose 6*i - 3 = 9*i. Determine u(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 7:41 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 255502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.17435km to millimeters.\nAnswer: 56174350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 394248 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c - 5. Let v(d) = -146*d - 8. Let s(f) = 53*f + 3. Let b(q) = 11*s(q) + 4*v(q). Determine -4*b(o) - n(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**2 - 6 + 6)*(-l - l + 6*l)*(l + 3 - 3).\nAnswer: 24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/2256 and 81\/40244?\nAnswer: 22697616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9802646 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 1, 31, 79?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*a**2 + 171*a**2 - 6001497*a + 6001497*a - 90*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 58*y**2 - 119*y + 590. Let x be v(56). What is the greatest common divisor of 1287 and x?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, z: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -29014*z**2 - 31*z - 37. Let c be r(-13). Round c to the nearest one hundred thousand.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/2 of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 70 = -14. Suppose -4*a + o = n + n, 4*n = -4. What is the second derivative of 10*z - 5*z**4 - 6*z**a + 2*z + 14*z**4 wrt z?\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39091.98554 to the nearest integer.\nAnswer: -39092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 79*k**5\/4 - 1333*k**4\/24 + 11*k**2 + 4. Find the second derivative of j(n) wrt n.\nAnswer: 2370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (278*d**2 - 278*d**2 - 43*d**3)*(14*d - d + 1 + 3*d) to v*d**4 + b*d + z*d**3 + n + x*d**2 and give z.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/192 and 121\/1851864.\nAnswer: 14814912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 721a?\nAnswer: 7214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d + 62 = 36 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1198, 3995, 8642, 15139, 23486, 33683?\nAnswer: 45730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*(-5 + sqrt(153)*1) + -6*((1 + sqrt(1700) - sqrt(1700)) + sqrt(1700))*2*-1)**2.\nAnswer: 5016*sqrt(17) + 221416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcccgjcjcgjcc. Give prob of picking 1 c and 2 j.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54? (a) 1 (b) -1\/12 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1153, 2302, 3449, 4594, 5737?\n\"Answer: -t**2 + 1152*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64929\/10 + -6483. What is the common denominator of j and 7\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-4 + (-1 - -9))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -31?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -120 - -23024124?\nAnswer: 23024004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2563 - 2559. Factor 0 + 3*t**g - 3*t**2 - 9\/2*t**3 + 0*t.\nAnswer: 3*t**2*(t - 2)*(2*t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -857453 plus 0.72?\nAnswer: -857452.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169 and 5239?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53095 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5903 > 5903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -1.3. Which is the nearest to 0.1? (a) 4 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.629979ns in days?\nAnswer: 0.0000000000007711803125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**4)\/(o\/(o**(-7\/4)*o)) assuming o is positive.\nAnswer: o**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**5 - 12719*s**4 - 2709608*s**3 + 7531657*s**2 - 3437054*s - 1372280 = 0.\nAnswer: -203, -1\/4, 1, 2, 3380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 2338 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/11381 and 85\/6?\nAnswer: 68286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536 is divided by ((-27)\/4)\/(53\/(-212))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*v + 202 = 0, 5*k = 5*v - v - 285. Let x = k + 373\/7. Let i = 0.2 - 2.2. Which is greater: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -1. Suppose f + 2*m + k*m = 13, -3*m = f - 10. Let x = f - -15. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -1, 574, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36208, -36225, -36268, -36349, -36480?\nAnswer: -36673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - j**2 + 12. Let b be a(0). What is the highest common factor of b and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3*(-15)\/4. Which is the closest to 2\/85? (a) -2\/17 (b) t (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/3 + (-8)\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**2 - 1. Let g be 2 + (-1)\/3 + (-472)\/177. Determine r(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/147)\/((-2)\/(-28)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/9 and -6\/646057?\nAnswer: 5814513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*i + 558 - 5264 = 0, 5*f = 2*i + 11717. What are the prime factors of f?\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 2*a**2 - 7*a - 23. Determine u(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 342 - 293. What are the prime factors of k?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**3\/3 - 1619*n**2 + 2621161*n + 3169. Find l, given that d(l) = 0.\nAnswer: 1619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17113, -17107, -17077, -17011, -16897, -16723, -16477, -16147?\n\"Answer: 2*l**3 - 8*l - 17107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, e: 4, a: 7}. What is prob of picking 1 a and 1 p?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2 + 398*r = 0. Calculate r.\nAnswer: -199, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 28 = -16. Let c = -7 - -12. Find the second derivative of 0*l**c + 11*l**5 - z*l**5 + 11*l + 5*l**5 wrt l.\nAnswer: 100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 169 + 36?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -241\/4 + 62. Let o(b) be the first derivative of -3 + 1\/5*b**5 - d*b**2 + 1\/8*b**4 - b - b**3. Find v, given that o(v) = 0.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-48)\/(-42))\/(2\/(-21)) + 50. Calculate the greatest common factor of n and 12198.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78098 at least as big as 78097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 6 = s - 4*l, 3*s - 5*l - 18 = 0. Let a = 13 + s. Calculate the highest common factor of 57 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 11*k - k**2 + 0*k**2 - 8 + 4. Let o be c(10). Let l(b) = b**2 - 9*b + 5. What is l(o)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -8. Let k = -2 + o. Which is the third biggest value? (a) -0.2 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**6\/120 + p**5\/15 + p**4\/6 - 2*p**3\/3 + 114*p**2. Suppose 5*z - 8 = 5*w + 9*z, -z = 3*w + 9. Determine h(w).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 h when three letters picked without replacement from hajjljjjhhala.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-4))\/(-9)*2*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*k + 22*k - 240*k)*(3*k + 28*k**2 - 27*k**2 - k - 1) in the form s*k + d*k**3 + c*k**2 + j and give s.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*l - 981094 + 40564. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 888*n**2 + 29844*n + 28960.\nAnswer: 4*(n + 1)*(n + 40)*(n + 181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((v*v**3\/v*v)\/v))**(-18\/11) assuming v is positive.\nAnswer: v**(18\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5123785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 5:15 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {h: 1, z: 4, c: 5, g: 8}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 98*g. Let s(w) = 4*w - 2*w - 1 + 3*w + 9. Let h(y) = 14*y + 22. Let a(c) = 4*h(c) - 11*s(c). What is a(b(t))?\nAnswer: 98*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 193548 to the power of 1\/2, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 2*k**2 - 4*k - 5. Let j be z(-2). Suppose -j*a - 5*l = -94, -5*a + 83 = 5*l - 87. What is the remainder when a is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*a + o, 4*o - 44 = 29*a - 34*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**6\/120 - v**5\/3 - v**3\/6 + 989*v**2. Give z(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 5*m**2 - 3*m - 3. Let s be h(-4). Suppose 0 = -2*r - 11 + s. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 140 = 13*v. Calculate the smallest common multiple of 1112 and v.\nAnswer: 5560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5853\/11054 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 19*l**2\/2 + 2*l - 10. Let i be t(5). Suppose 5*m - 78 = i. What is the remainder when 68 is divided by m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 811 + -966 + (58 - 5).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2 - 114*f + 257. Determine i(-40).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 208 = 5*q. Suppose -4*i - q = 36. What is the units digit of 1\/(-2) - i\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96793 and 715606.\nAnswer: 1610829106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = h + 422 + 351, -5*h - 3*q - 3819 = 0. Let t = 827 + h. What is the lowest common multiple of 6 and t?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - p**4 - p**2 + (-4*p + p + 0*p)*(2*p**3 - 4*p + 4*p) - 3*p**2 + p**4 + 8 - 8 as j*p**4 + z*p**2 + y*p + k*p**3 + r and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -66, -104?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1))**(-2\/37)*h**(-20)*h*h**(-3) assuming h is positive.\nAnswer: h**(-818\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 7. Let n = 60 - 62. Let q be (1\/n)\/(b\/(-12)). Solve -k + q = -d - 0, -5*k = -d + 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)*a*a**(-2\/3)*((a*a**4)\/a)\/(a\/(a\/((a\/(a**(3\/2)*a))\/a))*a))**(2\/9) assuming a is positive.\nAnswer: a**(5\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 0.78434, -235, -5?\nAnswer: 0.78434","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2127395*q**2 - 1063502*q**2 - 1063892*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence toh when three letters picked without replacement from {a: 1, t: 3, h: 9, o: 5}?\nAnswer: 15\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(3\/34)\/(z**(-1\/4)*z\/z**(-1)) assuming z is positive.\nAnswer: z**(-125\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -26.8 (b) -0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2859*l - 2806*l + 265 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 16*a + 30. Let r be m(-6). Is (-20)\/r + 5917\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 w, and 1 i when three letters picked without replacement from yoooqiwowwoqyqjwy?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46989*j + 48743 wrt j.\nAnswer: -46989","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 293 + 178. Suppose -5*o = 4*r - x, o = 3*o + r - 189. Suppose -5*l = -o + 15. Solve 4 = 3*t + l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 - 692 = 177*r - 215 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/9)\/((-14)\/(-6)). Let n = 21.9 - 22. What is the fourth smallest value in 1, 5, n, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -121.9.\nAnswer: -36.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Suppose 705 = 4*h + h - w*p, -153 = -h - 2*p. Let d = h - 78. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.5477 * -2\nAnswer: -11.0954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 4055 - 463. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3094 is divided by 97?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 4. Let q be m(-4). Let i be 3*-1*6\/(-9). Let k(d) = -8 + q - i*d. Let l(h) = 4*h**2. What is l(k(z))?\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 11*l**2 + 8*l + 8. Let p be s(-9). Suppose -4*b = -p - 62. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2982 - -2968) + 0 + 46?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2. Let x(q) = -93 + 23*q - 15*q - 19 - 6*q. Give x(i(t)).\nAnswer: -4*t**2 - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32061?\nAnswer: 3, 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*q + 5, -6*q + 3*q - 4*z = 32. Let o = 0 - q. Suppose -30 = -o*k + 6. Solve -3*f - k = -0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4*w - 4819, 2*t - 558 = -3*w + 1364. Is 40 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y + 29. Let w be n(9). What is the derivative of 17*d**2 + 6 - d**w + 8*d**2 - 26 wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvs when three letters picked without replacement from pvsuuupusuuqqsusuqvs?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 0, 13, 34, 63, 100?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*o - 74120 = -3*i + 160*o, 1 = o. Does 87 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**5\/60 + p**4\/12 - p**3 - p**2. Suppose -45 = 4*x + 5*o, 0*x + 3*o = x - 10. Calculate d(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 607?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235025 - 126055 - 108970 + 2*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = 4*z + 65. Suppose n = 4*c - c + 216, -4*c = 3*n - 700. Suppose -4*o + 2*o + n = 0. Calculate the remainder when o is divided by z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -46\/3, -2\/7, 421?\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8755.768g in milligrams?\nAnswer: 8755768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.418 + -31.618. Let d = v - -31.4. What is the closest to 3\/4 in d, -2\/17, -0.26, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t + 13*t + 8*t - 30*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 465392 = 465393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xribxbbbbrrx. Give prob of picking 2 b and 1 i.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 + -0.5. What is the nearest to 1\/4 in r, -1\/7, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**7\/280 + j**6\/360 - j**3\/3 + 2. Let c(b) be the third derivative of h(b). What is the third derivative of c(z) wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-24)*-6)\/(-26)*(-35)\/(-35)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/(-69)*6\/38.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19188941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -60*s - 21. Let b(t) = -30*t - 10. Let h(p) = -13*b(p) + 6*u(p). What is the derivative of h(c) wrt c?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 3:17 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 6*u - 2. Let c(p) = 4*p**2 - 4*p - 1. Let z be c(3). Let f = z - 8. Suppose 2*s + 5 - f = 0. Determine a(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 3443*d**5\/20 + 269*d**4 + 2225*d. What is the third derivative of v(t) wrt t?\nAnswer: 20658","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*(n*n**(-1))\/n)**(-1\/2)*(n*n**(1\/6))\/(n\/n**0) assuming n is positive.\nAnswer: n**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/6)\/(-15))\/((-33)\/(-30))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95 + -51. Let h(m) = -3*m - 26. Let k(v) = 5*v + 51. Let u(b) = -7*h(b) - 4*k(b). Let y be u(26). Calculate the greatest common divisor of y and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 + 12 = 0. Let u = d - -19. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1959 - -2017. Solve s*w = 48*w - 60 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**6\/360 + w**5\/40 + w**4\/4 + w. Let a(j) be the third derivative of q(j). Suppose -16*h = -18*h - 6. Calculate a(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1967*a**2*h**3 - 8838*a**2*h - 26016167*h**3 with respect to a.\nAnswer: -3934*a*h**3 - 17676*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -45?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 + -38. Suppose n + 7 = k. Does 3 divide (4\/n)\/1*14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5 = -3*d, 2*d - o = 8 - 3. Suppose y - 10 - 3 = d. Calculate the remainder when (3 - -22 - 9)\/(2\/3) is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95651\/4 + -23913. What is the closest to 4 in 2\/11, -23\/5, f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68 by -17.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - -14. Suppose 3*z + r = -20, 3*z - 5*r = z - 2. Let q = l - z. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*m**4*v + 5*m**3*v**2 + 3*v**2 + 147*v wrt m.\nAnswer: 12*m**3*v + 15*m**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 + -31c666?\nAnswer: -31c678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0227 less than 10?\nAnswer: 10.0227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**4\/6 - 684*d - 1. Let v(u) = -1077*u. What is v(n(x))?\nAnswer: 2154*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105 by -28608.\nAnswer: 35\/9536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 11, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2472*l + 639*l + 1 - 1063*l + 1146*l.\nAnswer: 3194*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88480 divided by 2.\nAnswer: -44240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x**2 - 3*x - 16. Let c(d) = -12*d**2 - 5*d - 36. Let j(y) = -2*c(y) + 5*f(y). What is j(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r. Let t(i) = 33*i**2 + 2*i + 10. Let u(c) = 135*c**2 + 9*c + 45. Let x(q) = -9*t(q) + 2*u(q). What is x(f(y))?\nAnswer: -972*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*o**2 + 7*o + 17*o**2 - 8*o**2 to the form h*o**2 + j + u*o and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 11*u + 5)*((3*u**2 + 3*u**2 + 3*u**2)*(6*u**2 - 2*u**2 - 3*u**2) + 17*u**2 - 4*u**4 - 17*u**2).\nAnswer: -55*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 2*v - 2*d + 1 = 0, 0 = -2*v - 3*d + 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u + 2. Suppose -5*a + 14 = -4*p, 3*p = p - 5*a + 8. Calculate i(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.59 + -76460\nAnswer: -76441.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/1 - -2) + 2. Let a = z + 15. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(612) - (sqrt(612) + 6*(sqrt(612) - (sqrt(612) + sqrt(612) + -1))) - (sqrt(612) + sqrt(612)*1 + -1 + sqrt(612)))*6)**2 + -1.\nAnswer: -6480*sqrt(17) + 199182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -268982*n**3 + 8 + 268982*n**3 + 158*n**4 + (3 - 5 + 0)*(-n + 2*n**3 + n)*(3*n - n - 4*n) in the form y*n**4 + t*n**2 + l*n**3 + i + q*n and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 20*u + 53*u + 4*u**3 + 2*u**2 - 6*u**3 - 26*u - 37 to the form d*u**2 + j*u + z*u**3 + b and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3256405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnnunnnnnnnnnnnunnn.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 8*y - 7. Let d be h(-6). Suppose -3*x - d*n = -169199980, x + 17*n - 56400016 = 21*n. What is x rounded to the nearest one million?\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/30)\/((-48)\/(-20))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.07 - 15.97. What is the nearest to -1 in 2\/15, 9.6, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 584070345\/44 + -53051465\/4. Let h = -11457 + d. Let v = -7715\/1468 + 2\/367. Find the common denominator of v and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o**2 - 204*o + 82. Determine s(41).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*d - 74*d - 41*d = -141. Let l(p) be the first derivative of 1\/2*p**2 - 20 + 1\/4*p**4 + 4\/3*p**d - 4*p. Determine l(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u**2 - 20*u - 13. Let a(c) = c**2 + c. Let g(d) = -6*a(d) - f(d). Let l be g(-9). Let z be (-6)\/(-15) - l\/(-105). Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*u. Suppose -17 = -3*j - s, -5*j + u*s = -s - 23. Suppose -5*g = j*i - 170, -50 = -2*g - 0*g + 4*i. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -48. Solve -2*j - 15 = 2*j - p*t, 0 = 2*j + 3*t - 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 383? (a) -0.23 (b) 1\/4 (c) -5 (d) 2\/17 (e) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 548 and 24?\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*5\/(75\/(-6)). Suppose 0 = 3*x - 19 + 1. What is the smallest common multiple of x and d\/(-2) + -1 - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69025 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 7. Let u(h) = -3*h - 1. Let g be u(-1). Find the second derivative of 2*o + 26*o**g - m*o**2 + 2*o**5 wrt o.\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3.5. Let s = -2.252 - -0.252. Put s, -5, p in decreasing order.\nAnswer: p, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 333 + -326. Suppose 2*r - 219 - d = 0. What is the remainder when r is divided by 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -44*b + 482. Let a be w(11). Is a at most -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1.3. Let i(q) = -q**2 - 8*q + 13. Let m be i(-9). Let j be 7\/39 + 8\/(-24). Which is the third smallest value? (a) m (b) j (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -33, -97, -203, -351, -541, -773, -1047?\n\"Answer: -21*r**2 - r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdcdfdcddddc. What is prob of picking 1 c and 1 f?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -1)*4 + sqrt(12)*-5.\nAnswer: -6*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 15*p + 6 = 0. Let a(m) = 2 + p*m**3 - 11*m**2 - m**3 + 14*m**2 - 2*m - m. Suppose 3*f - 3*o = -27, f + o + 0 = 1. Determine a(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**3 + 5*i**2 + 4*i + 6. Let r(f) = 3*f**3 - 4*f**2 - 3*f - 5. Suppose 2*u - 22 = -14. Let t be (12*4\/144)\/((-2)\/(-30)). Give t*r(d) + u*k(d).\nAnswer: -d**3 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*-2*6 + 2 + (sqrt(3) + -1*sqrt(33)\/sqrt(11) - 4*sqrt(147)) + -1)**2.\nAnswer: -344*sqrt(3) + 88753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 8:04 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-71816)\/5157 - (-2)\/(-27).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2411358 divided by -542?\nAnswer: -4449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/(-15) - 2\/5. Suppose -l*b = n - 6*n + 62, 0 = 3*n + 2*b - 34. What is the least common multiple of ((-120)\/(-18))\/((2\/(-6))\/(-1)) and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60482786.\nAnswer: 2, 7, 13, 439, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**2 - 11*j + 15. Let a(y) be the first derivative of -y**3\/3 + 3*y**2\/2 - 4*y + 2. Let c = -4445 - -4439. Calculate c*o(m) - 22*a(m).\nAnswer: -2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 66563506583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*s + 39, -5*s - 6 = -2*i + 50. Let o = s + 7. Is o + 2 - (1 - 147) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3192459\/5737 + -19679878363\/31897720. Let a = v + -48723\/139. Let y = -411 - a. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3*f = 6, 43*j = 47*j - 4*f - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 10*v + 5. Let b = 172 - 175. Let y(m) = m**3 + 3*m**2 - 5*m - 5. Let h be y(b). What is n(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7759241*t**2. Let b(q) = 14*q**2. Give b(m(y)).\nAnswer: 842881492545134*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b + 1. Let c = 14 - 3. Suppose 2*m - 1 + c = 0. Calculate the remainder when d(m) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, -39, -70, -105?\n\"Answer: -2*o**2 - 21*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*n - 11726 = 212*n for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2 - 4*a + 2*a**2 - 6*a**2 + 3*a**2. Let q be c(-4). Let x = -3 - q. Sort x, -0.1, 3.\nAnswer: x, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 2445*r - 42558. What is c(-17)?\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -60d - 4?\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/12 + 195\/52. Suppose -27*a + j = -25*a. Solve b + 12 = -a*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvbtsttvvevvbtb. Give prob of sequence sbv.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 389096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/((-1 - 0)*1). What is the remainder when 34\/(k - -3 - -2) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 977538 and 2036964.\nAnswer: 5118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j. Let k be v(1). Suppose 6630 = -147*s - 1179*s. Which is the nearest to k? (a) s (b) -0.05 (c) -2 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15867\/77 - -2262\/11. Sort u, -0.06, -1, 0.3.\nAnswer: -1, u, -0.06, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 0 - (-21 - (-5 - 11 - -8))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*o = -136*o + 952 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -1\/12*k**4 + 0*k - 3*k**2 - 7 - 7\/2*k**3. What is f(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 4:41 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 4611, -0.05 in descending order.\nAnswer: 4611, 26, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 798 divided by 114?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c. Let f(d) be the first derivative of d**3 + 12*d - 2. Suppose 4*r = -r - 60. Let a(o) = -o**2 - 5. Let t(h) = r*a(h) - 5*f(h). Determine t(w(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(175) + sqrt(7) + 1 - (-1 + (sqrt(567) + -2 - sqrt(567))))**2.\nAnswer: 60*sqrt(7) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3377 + -a16a1?\nAnswer: -a4a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8192 times -89.7?\nAnswer: -73.48224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 17*w - 1. Let x(j) = -16*j. Give 6*x(o) + 5*y(o).\nAnswer: -11*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 20*n**2 + 2*n + 46. Calculate m(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/7 - 22948*g**2\/7 - 45890*g\/7 - 22944\/7.\nAnswer: -2*(g + 1)**2*(g + 11472)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 0 - 2) + 2. Let u(d) = 2*d**3 - 2*d**2 + d + 3. Is u(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27627 + -1?\nAnswer: 27626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11786230.000055 - 11786258. Let h = -78 - -50. Let s = h - o. What is s rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 853116*u**4 + 2283*u**2 + 11*u.\nAnswer: 20474784*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 510652322.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from {x: 6, u: 4, t: 1, s: 2, p: 4, z: 1}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**4\/8 + 2*r**2 + r. Let y(z) be the first derivative of w(z). What is the tens digit of y(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -55 + 3?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(15)\/(sqrt(192)*-2) + 3 + (sqrt(45)*-2 - sqrt(60)\/((sqrt(12) - -1*sqrt(12)) + sqrt(12))))**2.\nAnswer: -307*sqrt(5)\/8 + 485069\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*k + 647 + 567, -3*y + 1206 = 3*k. Suppose -2*o + k = -3*z, 2*z - 472 = -2*o - 46. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 179114 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*b - 4. Let q(u) = -u**4 - u**3 + u. Let i(c) = -12*c**4 + 4*c**3 - 4*c + 27. Let d(n) = b*q(n) - i(n). Differentiate d(t) with respect to t.\nAnswer: 64*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1043415 and 77\/32.\nAnswer: 33389280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and (-12084)\/380*30\/(-9).\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 12:20 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -32*t - 197. Determine v(-10).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*b**2*k**2 - 102*b**2 - 3*k**2 wrt k?\nAnswer: -32*b**2*k - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 19. Suppose -i + y*w + 32 = i, -40 = -2*i + 4*w. Let x(f) = 3*f - 14. List the prime factors of x(i).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220371 a multiple of 447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55804603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10692 and 155331?\nAnswer: 5591916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6 + 90\/108 - 20\/(-8). Solve -5*v - 4*r - 10 = 0, 2*v + 10 = -3*v + l*r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12175 (base 9) to base 2\nAnswer: -1111111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 2, e: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -30*p + 0*p**2 + 0 - 3\/4*p**4 + 1\/3*p**3. Find the second derivative of d(t) wrt t.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 11. Suppose 4*i + 40 = -24. Let a be u(i). Let r(c) = -4*c - 6. Let p(q) = 3*q + 7. Let m(j) = -5*p(j) - 4*r(j). Give m(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114 - -113.7. Put 0.1, s, -3, -3\/8 in ascending order.\nAnswer: -3, -3\/8, s, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 10:46 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/13 at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 18, s: 1}. Give prob of picking 4 k.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**3 + 3*j**3 + 0*j**3)*(-75 + 210 - 63) as p*j**2 + u*j**3 + q*j + l and give u.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*l - 6*l. Suppose -l - 9 = 5*d. Let x = 0.0088 + 0.1912. Which is the nearest to x? (a) -3 (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 1.5979623.\nAnswer: 0.63918492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 8:17 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + -28. Suppose 0 = -0*m - 3*m - 75. Let n = m - f. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 = 0, 0*d + 2*l - 4200002 = -5*d. Round d to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 109077 and 5148867?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -0.2 (b) -5 (c) 0.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24424 (base 5) in base 4?\nAnswer: 131020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**2*f*f**(-31\/5) assuming f is positive.\nAnswer: f**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -2*u**3\/3 + u**2 + 2562. Let a(j) = -81*j. Determine q(a(o)).\nAnswer: -13122*o**2 - 162*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 3) + -5 - 1 - (-2 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 t when two letters picked without replacement from mkymctq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1601564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17719, -17713, -17695, -17659, -17599, -17509?\nAnswer: -17383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 29864.961 minutes?\nAnswer: 20.73955625","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mjmjjjmmemjjmjjmjjm?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 4*i**2. Let o be q(-4). Let h = 256.1 + -256. Sort o, 3, h in ascending order.\nAnswer: o, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 1 (c) -3 (d) 1\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3283839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 826*w**2 - 153*w.\nAnswer: 1652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 148216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 0.9?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*d - 245, 3*d + 123 = k + 6*d. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49580.39 to the nearest ten.\nAnswer: 49580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 18655*n - 298491. Calculate k(16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 3*t**2 + 2*t + 1. Let l be r(-2). Suppose -i = l - 0, -2*m = 3*i - 1243. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 49692 and 49690 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (5 - -1)) + 1 + -6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 60*i - 218. Calculate the remainder when 133 is divided by y(-55).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1264 and 4108?\nAnswer: 16432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31687.\nAnswer: 31687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 3249?\nAnswer: 35739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 7*v**2 - 4*v - 17. Let q(y) = -2*y**2 - 2*y**2 + 3*y**2 - 1 + 18 - 12*y. Let w be q(-14). Is h(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90644 by -1.\nAnswer: 90644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**21)**(7\/8) assuming l is positive.\nAnswer: l**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-132)\/(-70) + 46\/115?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - -1) + 3 + (65 - 77)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 173553 divided by -41\nAnswer: -4233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 1150\/7*u + 2\/7*u**3 - 1058\/7 - 94\/7*u**2 = 0.\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + t - 4*t - 6 = 0, 2*t + 4 = 0. Suppose -5*b + 4*b + 17 = f. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 321*r**4 - 589*r - 1?\nAnswer: 3852*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5106427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.8, 3\/5, -3\/5, 0.1 in ascending order.\nAnswer: -3\/5, 0.1, 3\/5, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l + 5*l + 20160 = 218*l + 116*l for l.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + 4 + 1 - 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**6\/51 - 6*v**5\/85 + 3*v**4\/34 - 2*v**3\/51 + 6. Factor y(l).\nAnswer: 2*l**2*(l - 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -55071?\nAnswer: -10\/55071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 452, 486, 542, 620, 720?\nAnswer: 842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10201 is divided by 3318?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 2. Solve 1 = v*n - 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0 + 0*q**3 + 7\/4*q**4 + 1\/20*q**5 + 3\/2*q**2 - 23*q. Calculate m(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from tutuuttututiutttt.\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 192110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1892 is divided by 327?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 213, 412, 605, 798, 997, 1208?\n\"Answer: i**3 - 9*i**2 + 219*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -8*j**3 - 34*j**2 + j + 39. Let z(p) = -3*p**3 - 17*p**2 + 20. Let d(f) = 2*o(f) - 5*z(f). Give d(17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*w - 17, -3*w - 3*t + 27 = -0*t. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80716?\nAnswer: 2, 17, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z + 4*z**2)*(-5*z + 0*z - 4*z)*(-10 - 1 - 6).\nAnswer: 612*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 4*t + 320. Let l be k(0). Let p = l + 4455. Is (-3 - 72\/(-20))\/(5\/p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10460 - 6550. Let v = -3908.5016 + a. Let s = v - 1.5. What is s rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290752?\nAnswer: 2, 7, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 156436754 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6175*j = 300644 + 255106 for j.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 5*x + 1. Let d(t) = -t**3 + t**2 + t + 3. Let u = -3 - -3. Let c be d(u). Suppose 4*b = 2*j + 4, 3*b - 2 = c*j - 5. Determine o(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35335.68m in millimeters?\nAnswer: 35335680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6*s + 23*s - 4.\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 159\/98 - 6\/49. Suppose 11*c - 8*c - 6 = 0. Find i such that g*i**c + 0*i - 3\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 31 = -c, 118479*c = 118457*c - 4*z - 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + (3*(-3 + -4*(sqrt(76) + 1 + sqrt(76))))**2).\nAnswer: 12096*sqrt(19) + 265320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 8*i**3 + 9*i**3 + 4*i - 4*i**2 + 4*i**2 to the form f*i**2 + b*i**3 + x*i + n and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/(t\/(t*t**0)))\/t))**(-7\/8)\/(t**(-2\/7))**(37\/2))**(-2\/3) assuming t is positive.\nAnswer: t**(-247\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 3 - 27*y**2.\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -178\/7 - -176\/7. Which is the fourth smallest value? (a) 4 (b) 0.4 (c) 17 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 - -46. Let s = x + 205\/4. Let z be (-2)\/(-5) - (-21)\/(-15). What is the second biggest value in s, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*a**2*n**3 + 2*a**2*n**2 + 2*a - 205*n**3 wrt a?\nAnswer: 44*a*n**3 + 4*a*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11683838*r**2 - 2*r - 11683894*r**2 + 4*r.\nAnswer: -56*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3427108, 78, 1 in decreasing order.\nAnswer: 78, 1, -3427108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = o. Suppose -3*g - 219 - 84 = o. Let p = -61 - g. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 11*y**4 + 48*y + 4. Let l(t) = -10*t**4 - 49*t - 3. Let q(z) = 3*g(z) + 4*l(z). Find the second derivative of q(b) wrt b.\nAnswer: -84*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36157 equal to -36143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/1322736 and -31\/217755414.\nAnswer: 1742043312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 - 833*i + 4208*i - 847*i - 839*i - 850*i - 839*i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*c - 16 = 0, -c = 3*c. Let p be v + (-3 - 0\/(-3)). Let q = 34 + -19. Solve 0*f = -p*f - q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73982218 is divided by 14444?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -64*f - 3210. Determine b(-50).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 + 11*c**2 - 7972*c - 55652. Determine o(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8*i**2. Let m(k) = 67 + 67 + 65 + 26*k - 199. Calculate b(m(v)).\nAnswer: 5408*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 8*y**3 - 4*y**2 + 4. Let a(f) = 10*f**3 - 3*f**3 + 4 - 1 - 3*f**2. Determine -6*a(z) + 5*g(z).\nAnswer: -2*z**3 - 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 5. Let m = x - -9. Put -1\/8, m, -4 in decreasing order.\nAnswer: m, -1\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55082023 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - 8. What is the remainder when t is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840447277 to the power of 1\/2, to the nearest integer?\nAnswer: 42900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*g - 51*g + 34 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {q: 6, g: 4, k: 3, x: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*b = -152*b - 28. Suppose -2*p - 5421 = 8*g - 13*g, 4*g - 4344 = b*p. Is 20 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -235984 by -14.\nAnswer: 16856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 + 146. Suppose -2*x + 484 + s = 0. Suppose 0 = -0*n + 3*n - x. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*v - 146, 3*o + 0*v + 77 = -5*v. Let f = o - -48. Suppose 0 = m + m - f. Solve m*y - 20 = 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -22, -12, 4, 0, 6.\nAnswer: -22, -12, -5, 0, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/47 and 61\/372?\nAnswer: 17484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0041 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -2. Solve 0 = n*c + 3*b + 15, 4*b - 9 = 3*c - 0*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from iiyhn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10788 and 50438424.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/7 - 40476*o\/7 + 15258759\/7.\nAnswer: -3*(o - 367)*(o + 13859)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45.928 * 309.\nAnswer: -14191.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12901 + 2038327\/158. Find the common denominator of -5\/79 and p.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1034472, -1034470, -1034458, -1034430, -1034380, -1034302, -1034190, -1034038?\n\"Answer: d**3 - d**2 - 2*d - 1034470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4.1, 1715, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 b when four letters picked without replacement from sbbssbbbbbbssbbb.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 10:12 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 177425.703926637531 + 0.035987362469. Let g = l + -177426. Let s = g - -0.26. What is s rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {a: 6, z: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 474114408 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: Solve 0 = 4*q - 5*x + 119, -2*q + 160 = -5*x + 217 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/55 + (-102)\/(-5). Let w(u) = u**3 - 24*u**2 + 43*u + 27. Let b be w(22). Solve b*j = -0 + k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l**3 + 8*l**2 + l - l - l**2 in the form q + s*l**2 + o*l**3 + c*l and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -432424 - 2522?\nAnswer: -435246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -21*h**2. Let b(l) = 239*l + 89. Determine b(g(r)).\nAnswer: -5019*r**2 + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000177 to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5735143 * 0.077.\nAnswer: 441606.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111*p**2*s**3 + p**2*s**2 - 11*p**2 + 6*s**2 wrt s.\nAnswer: -666*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*c**3 - 257*c - 920681 + 920683 + 42*c**3)*(3 - 6 + 2).\nAnswer: -4*c**3 + 257*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6621702?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -130.1 - -124. Let q = d - -38.1. Let p = -28 + q. Which is the nearest to 0? (a) p (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4498 > -8105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 85*u - 4. Calculate x(1).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -25.7, -864, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 741*f - 6530 + 19586 = -27*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 7) to base 14\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + p + 1. Let a(w) = 22*w**3 + 6*w**2 - 6*w - 6. Let f = -4758 + 4752. Determine f*x(r) - a(r).\nAnswer: -22*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.396 - -3.396. Let y = -3.1 - -3. Let s = -21 + 20.8. Which is the third smallest value? (a) 2\/7 (b) s (c) h (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1304)\/28 - -49) + 15\/(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u - 3 - 6*u - 6*u**2 + 15*u**2. Calculate the remainder when m(-2) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*h + 28594487 = 28597086 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3045 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28502 to the power of 1\/2, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6480111 and 714?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f - 14. Let y(a) = 23*a - 41. Determine -17*k(l) + 6*y(l).\nAnswer: 2*l - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6)*d**(-2))\/((d\/(d*d*d**(-3\/10)\/d*d))\/d**(2\/39)))**(-15) assuming d is positive.\nAnswer: d**(2827\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 26510678*w**2 - w. Let t be m(1). Suppose -4*x - t = 39489323. What is x rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4519293313.\nAnswer: 67, 67452139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 479119085*a**2 - 429893536*a wrt a?\nAnswer: 958238170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 85*m - 11241. Let r = -5 + 65. What is the remainder when p(133) is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15132870 to the nearest one hundred thousand.\nAnswer: 15100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two ninths of a week in minutes?\nAnswer: 35840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 551 divide 146734086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -12\/105404417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(1\/3)\/(30\/36). List the prime factors of (o + 3)*724\/2 + 2.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a1a (base 12) to base 14\nAnswer: -123c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bc794ad - -5?\nAnswer: bc794b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (-7)\/(49\/(-21)). Suppose 90 = 37*i - f*i. Which is the nearest to -1? (a) 0 (b) -8 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(152) + sqrt(152) - -1*1*sqrt(152))\/(sqrt(288)*2 + sqrt(800)*2).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 2. Let p = 4 - 0. Suppose b + 3*b = p. Let t(o) = 1 + 2 + o**2 - 4 + 0*o**2. What is b*m(w) + 3*t(w)?\nAnswer: 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 457 - 454.884. Let a = f - -8.694. Round a to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -772*v + 767. Let z be i(1). Sort -2, 1\/13, 1, z, -117 in increasing order.\nAnswer: -117, z, -2, 1\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20313 + 10?\nAnswer: 20323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 21*y + 16 - 11 + 20*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from {a: 3, u: 2, i: 2, n: 3, b: 5}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111111 + 111011000?\nAnswer: 101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 6*l = 0. Let a = -6 - l. Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 - 5. Let g(t) = -3*t**2 - 4. Let u(o) = -5*g(o) + 4*j(o). Suppose -4 = -3*w + 20. Let i(k) = w*k - 6*k + k. What is u(i(v))?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(7) + 5 - sqrt(7))**2 + sqrt(28)*-1 + (2 + sqrt(847) - sqrt(7)) + 1.\nAnswer: 8*sqrt(7) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*c**2 - 13*c**2 - 27*c**2)*(-3 + 3*c**2 + 0 - 4*c**2) to the form r*c + x*c**3 + a*c**4 + q*c**2 + m and give a.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111 + -41. Let o = -0.1039361308 + 70.1039510308. Let w = q - o. What is w rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/15*45\/15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*k**4 - 663 - 3*k**3 + 664 - 9*k**2 + 0*k**3 + 57*k**4 as o*k**2 + n*k**4 + x*k**3 + j*k + g and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-110))\/(-5)*648\/1296.\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 17*r - 6. Let x be a(8). Let d = x - 84. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1304294 is divided by 1732.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64954 and 7601.\nAnswer: 714494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 11*r = 60. Solve r = -3*g + 8*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(560\/(-585) - -1)*-3. Suppose 3*a = a - 20. Let m be (-18)\/(-22) + a\/(-55). Which is smaller: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-5) - (-119)\/35. Suppose -n - 6 = -i*q - 14, -2*n = 4*q - 66. Let f = 95 - n. Does 25 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by -3.\nAnswer: 62\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 458 - 456. Solve -1 = -u*p - 11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 1)*(4 - 1 - 4) - 1 + 2 + 0 + (-1 + 0 - 1)*(-2 - 1 + 5))*(30*m**2 - 6*m - 4*m - 25*m**2).\nAnswer: -25*m**2 + 50*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0.03, 1\/2 in descending order.\nAnswer: 10, 1\/2, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, s: 8, o: 2}. What is prob of picking 1 g and 2 o?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 30*f**2 + 2*f + 2. Let q(o) = o**3 - 31*o**2 - 3*o - 3. Give -2*q(c) - 3*u(c).\nAnswer: c**3 - 28*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6259?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8988*n**2 + 81*n + 2830116?\nAnswer: -17976*n + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/1*145565\/(-70) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-13)\/3)\/((-1008)\/3024)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 873542.\nAnswer: 2, 47, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4019 and 6?\nAnswer: 5.5981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(2)*-4*3)\/((5*sqrt(144))\/sqrt(2)).\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 68 = -188. Let p(q) = -3*q**2 - 5*q - 2. Let j be p(-5). Let z = d - j. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/30*-4)\/(12\/(504\/(-7)))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**2 - 6198720*d - 18596115 = 0. What is d?\nAnswer: -1239741, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - q + 116 = 4*u, 0 = -3*u - 4*q + 56. Suppose 24*w - u = 16*w. Suppose -w*x + 21 + 411 = 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 506349844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -3*y + 304 - 313, 3*z = -21*y + 87 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 20*y + 294800 = 16*y. Does 43 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -768262*a**6 + 2*a**2 - 28*a - 1495?\nAnswer: -92191440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 4)\/(0 + 1). Suppose -6*g + 16 = -32. Let s = g + c. Calculate the least common multiple of 17 and s.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 987 + -305. Is z a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 51342.\nAnswer: 205368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(448)*6)**2.\nAnswer: 403200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 4*p - 4. Let f be n(5). Let t = 161975 - 10203871\/63. Let v = t + -60\/7. Is v at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1568251.\nAnswer: 1568251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -19*z - 23. What is the units digit of b(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y + 2*y + 2*y + (2*y - 3*y + 2*y)*(1 - 1 + 1) + (-158*y + 2 - 183*y + 357*y)*(0 + 0 + 4) to t*y + v and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 803 - 531. Suppose 4*h + l - 120 = 5*l, h - 22 = 3*l. What is the greatest common factor of h and x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 4 - (9 - (8 - 28 - 0)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 364, 363, 360, 355, 348, 339, 328?\n\"Answer: -t**2 + 2*t + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 253, 2, 4, 5 in descending order.\nAnswer: 253, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 16*(-2)\/(-32)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from sfayy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5599400?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 370478 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - -61. Let b = 188 - z. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 706 - 698. Suppose l = 4*d - 4*o, 5*d + 2*o = -11 - 0. Sort -11, 5, d, 7 in descending order.\nAnswer: 7, 5, d, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2. Suppose 3*w = -5*i + 26, 0*w + 5*w + 6 = 4*i. Let r(h) = 6*h**2 - 5*h**w + 2*h**2. What is r(k(n))?\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4279660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**5\/110 - c**4\/33 + c**3\/33 + 2*c**2\/11 - 38*c. Factor f(o).\nAnswer: -2*(o - 1)*(o + 1)*(o + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 + 4\/35. Suppose -5*d - 5*g = -5, -3*d + 3 = d + 3*g. Let r be (-2)\/((-3 - d)\/(-1)). Which is the biggest value? (a) r (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1212 and 240?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2012 - 4?\nAnswer: 2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (128\/(-112))\/((17664\/(-112))\/(-24))\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10221103112 (base 4) to base 7\nAnswer: -13231202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -398 and -41715.\nAnswer: 16602570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*l + 11, 3*l + 0*y - 24 = -4*y. Find the third derivative of -3*v**3 + 36*v**l - 2*v**2 - 76*v**3 - 30 - 19*v**4 - 19*v**4 wrt v.\nAnswer: -48*v - 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.334 - 85.666. Let y = h - -107. Which is the second smallest value? (a) 1\/2 (b) -2\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4228)\/(-4530)*3*2\/21?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, d: 1, l: 3, u: 1, t: 2}. What is prob of sequence zu?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**2 + 0*k**2 - 3*k**2 + (-3 + 5 + 4)*(17*k**2 + 32 - 32) in the form u*k**2 + z + p*k and give u.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 3*m + 12 = 0. Which is the nearest to m? (a) -2\/7 (b) 1\/5 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4155 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (1*sqrt(272))**2 - (sqrt(17) - (sqrt(17) + sqrt(17)*3)*3).\nAnswer: -272 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*n - 21, 0*p - 4*p - 3 = -5*n. Suppose -n*t = k + 3*k - 131, -2*t - 76 = -2*k. Calculate the remainder when 135 is divided by k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1054, -2108, -3162, -4216, -5270?\n\"Answer: -1054*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 2*j**3\/3 - 3*j**2\/2 - 7*j + 2. Is f(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -191444 take away -0.3?\nAnswer: -191443.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**4\/24 - r**3\/6 - 14*r**2 - 38. Let s(a) be the second derivative of b(a). Give s(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g - 2. Let b be o(-3). Calculate the highest common factor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 = -3*m, -3*m = -3*v - m + 44. What is the greatest common factor of 90 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 5:31 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21229182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - -19) + -8 - (-10 - 53)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**10*z)\/z*z*z*z**6*z*(z*z*z*z**(-4)*z)\/(z**(-2\/7)*z*z) assuming z is positive.\nAnswer: z**(121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11112211 (base 3) in base 4?\nAnswer: 303310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10428495 and 6930?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzzzzmmhmhzzhmzzzhz. What is prob of sequence zzmz?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c0d - 1?\nAnswer: -5c0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 11 - 3)*(-22*g - 40*g + 18*g)*(g - g + 3*g).\nAnswer: -1056*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 105973 - 604047 = 43937. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 13*r - 3*o - 2*o = 0, 3*o = 2*r + 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4139320 - -564.6?\nAnswer: -4138755.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9957337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -395, -308, -171, 10, 229, 480, 757?\n\"Answer: -s**3 + 31*s**2 + s - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/18 - (-34)\/(-30)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 + -116. Let m = -39 - q. Solve -2*u + m - 11 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -809 + 400 + 3*n + 409 + 2*n**2 + n**3 in the form l*n**3 + f*n**2 + q + y*n and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 7 = 2 + 7, 10*n = 3*p - 2242 + 4361 - 2195 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/2 in -5, -7, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o**2 + 13*o + 19. Let m be q(-3). Suppose 55*s - m*s + 12 = 0. Solve 7 = -y + 3*u - 6*u, 0 = -s*u - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 2*v. Let n be t(2). Suppose -4*l + 3*u + n - 7 = 0, u - 2 = l. Let q be (-1 + 5\/3)*3. What is the second smallest value in -2, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 8*y + 1. Let m be u(-8). Let i(f) = m + 5 - 3 - f + 3. Let x be i(4). Sort 5, 1, x.\nAnswer: 1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -222 - -256.8. Let i = -35 + w. Let h = -2.24 - -2.44. Which is the second biggest value? (a) 2\/9 (b) h (c) i (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10172267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -4*s**5\/5 + s**4\/6 - s**2\/2 - 89*s. Determine j(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 - 23025263?\nAnswer: -23025277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i + i + 6*i - 5*i. Let v(q) = -4*q**2. Determine v(n(h)).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 7) in base 3?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*6\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 208865.8km?\nAnswer: 208865800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 times 471.81?\nAnswer: 30667.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -160507366*p**3 - 147325172?\nAnswer: -481522098*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11723?\nAnswer: 19, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2. Let l(v) = 70360*v. Determine l(t(c)).\nAnswer: -140720*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 618.4 to the nearest ten.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -354*y - 54 + 14 + 178*y + 178*y - 448 + 418*y**2 wrt y?\nAnswer: 836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4687954766 to the nearest integer?\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l - 2*l + 3*l. Let a(z) be the second derivative of -1\/12*z**4 + 0*z**2 + 0*z**3 + 0 - 3*z. Determine a(d(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9.573154cm?\nAnswer: 95731.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 513.83 at least 1\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 3, 0 in decreasing order.\nAnswer: 11, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 27?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 5*c + 3. Let x be l(7). Let w = 10 - x. What is the greatest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/14 and (5 + -2)*76\/(-40)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -467 + 464. What is the remainder when x\/(-12) - (-5 - 470\/8) is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 3, i: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 0, -2*h = x + 1 - 2. Suppose -4*t = -5 + x. Let k = -2417.1 - -2414.1. Which is the third smallest value? (a) t (b) -0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 1592?\nAnswer: 1590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 0*o - 54 = 0. Solve -3*s + o*s = 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + (-7)\/(-2))\/((-8)\/8). Let m = -0.56 - -0.96. What is the nearest to d in m, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3622022 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -3*g - 58. Let i be (-2)\/5 - 648\/g. List the prime factors of (-268)\/(-8) + (-7)\/i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxrqfw. Give prob of picking 1 f, 1 r, and 1 x.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -194*u**2 + 334*u + 263. What is c(-2)?\nAnswer: -1181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -5, -4, -28, -0.44, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4125664, 16502657, 37130978, 66010627, 103141604, 148523909?\nAnswer: 202157542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**5 - r**4 + r**3 + 3*r + 1. Let v(d) = 554*d**5 - d**4 + d**3 + 4*d - 25. Let g(h) = -p(h) + v(h). Find the second derivative of g(j) wrt j.\nAnswer: 11100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -16. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*c**4 + 6535*c**2 + 2*c - 1300725.\nAnswer: -552*c**2 + 13070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -a + 3. Suppose 4*q = 2*m + 2*m - 228, 3*q = -a*m + 104. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5769*o**2 - 11546*o**2 + 243*o**3 + 5777*o**2 - 128*o**3 - 118*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9230206, 18460382, 27690520, 36920602, 46150610, 55380526, 64610332?\nAnswer: 73840010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2500998115?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3295475 + 23151221\/7. Let m = s - 11883. Let n = -1551\/35 - m. What is the common denominator of n and -37\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -774*x + 15*x - 455*x - 23066 = 0 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.5470193 kilograms?\nAnswer: 0.0005470193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4290 = d + 3670. What is d rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -6*h - 5. Let q be 25\/40 - h\/(-8). Suppose -5*o - 4 = 4*d + 36, -3*o - 5*d - 37 = 0. What is the third biggest value in 1, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10753528274608 + 3?\nAnswer: 10753528274611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -0.04, -8\/7, -3.7?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t. Let b(r) = 7080*r. What is o(b(d))?\nAnswer: -14160*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -322641943*q**3 + 471059533*q**2 wrt q.\nAnswer: -1935851658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3614510 - -2314510. What is q rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - sqrt(192)\/(-4*sqrt(8)))\/sqrt(512).\nAnswer: 5*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 4. Let a be v(-4). Suppose a = 3*x + 33 + 30. What is the tens digit of 1 - (3 - (0 - x))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5556 divided by 463\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*l**2\/8 + 213*l\/4 - 84.\nAnswer: -3*(l - 14)*(9*l - 16)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 - ((47 - 23) + -50)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35003 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 31\/2. Suppose -f - 4*f - 12 = i, -3*i = 4*f + 3. What is the closest to r in i, 0, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 271a - 0?\nAnswer: 271a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3140142 (base 5) to base 7.\nAnswer: -306125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3674654410.\nAnswer: 2, 5, 7, 263, 199601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 176169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0456 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10030725 a multiple of 327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 510, 1008, 1482, 1920, 2310, 2640?\n\"Answer: -2*d**3 + 512*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/493 and 48\/377?\nAnswer: 6409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -1\/5*h**4 + 0*h**2 - 2\/15*h**3 - 2 + 0*h - 2\/25*h**5. Suppose o(w) = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*(-4)\/8 - (-765 - -2)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9)*k**0\/k)**(28\/5)*(k**(-1))**(1\/6)\/(k**(2\/7)\/k)**22 assuming k is positive.\nAnswer: k**(-1699\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**3 + 65*r**2 - 17*r - 132. Let o be y(-16). Calculate the greatest common divisor of o and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.78 - -0.68. Let n = -57 + 56. Let k = 0.5 + n. Which is the second smallest value? (a) x (b) 0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 156 - -52. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -10 - (-2 + -5 + -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 11*b**2 + 6. Let j be h(-11). Let d = 18 - j. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 8 - 7*h**2 - 11*h**2 + 2.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide ((-448)\/84)\/((-2)\/33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*d + 25. Solve 0 = -2*v + d*v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 - 7*u - 13. Let s(m) = -189*m**2 + 379*m**2 - 2 - 7 - 189*m**2 - 5*m. Give -5*r(t) + 7*s(t).\nAnswer: -3*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**3 + 18. Calculate i(5).\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2\/7 (b) -1\/6 (c) 1\/2 (d) 2991\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 891 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156 and 246.\nAnswer: 6396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34224244111 + -10?\nAnswer: -34224244121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**3 - 16*y**2 - 116*y - 96 = 0.\nAnswer: -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 3*z + 24, -4*f - 6*z - 2 = -8*z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2)*(d\/(d*d*d*d**(-1)*d))\/d)\/(d**2*d**(-3)))**40)**(-39) assuming d is positive.\nAnswer: d**6240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3275263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 316182 and 564.\nAnswer: 29721108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*o + 215*o + 258*o + 15*o + 57*o.\nAnswer: 850*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, y: 6, a: 3, r: 4, s: 1, k: 4}. What is prob of picking 1 y and 1 b?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.23 - -38.23. Is -0.1 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 - 403*r + 11337. Give y(34).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*v**3 + 43*v**3 + 41*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*o - 41*o + 5*h + 42 = 0, 2*o - 10 = 3*h. What is the fifth biggest value in 0, -0.04, 35\/6, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18760*t**4 + 598*t**2 - 1103883368*t.\nAnswer: -225120*t**2 + 1196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 8. Let z be s(6). Let y(c) = 0*c**2 + 3 + 2*c + c + 6*c**2 - z*c. Let i(p) = 30*p**2 + 6*p + 16. Let g(k) = 2*i(k) - 11*y(k). Determine g(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**3 - 61*t**2 - 50*t**2 + 189*t**5 - 117*t**2 + 2*t**3 wrt t?\nAnswer: 11340*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 13, -972, -0.3, 5?\nAnswer: -972","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36189 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43002 is divided by 2047?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 7:44 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1371 - 8118 = -74*q - 36*q + 7223 for q.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 987.3214 nanograms?\nAnswer: 0.0000009873214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 31 + 4*g - 39 - 2*g.\nAnswer: 2*g + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.32164 and -2224?\nAnswer: 715.32736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 22.1. Let o = x + 9. Which is the nearest to 0? (a) -3 (b) -0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 - 3*g**2 - 3*g. Let a be (-2 + 0)*(-11 - -12). Let v be o(a). Suppose 6 = 4*y - 3*y. Is y equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -12*f + 66. Does 5 divide n(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/2)\/x)**30*x\/x**(-7)*x**(3\/4))\/((x**(-7)*x)\/(x\/(x\/(x\/(x**(3\/4)*x))*x*x))*(x*x*x*x*x**(3\/5))\/(x**(2\/17)*x)) assuming x is positive.\nAnswer: x**(-3101\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 141 - -140?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 34 + 1042 = 4*m, -3*m - 5*f + 778 = 0. What is the remainder when 283 is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354553 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 11*q**2 - 11*q - 15. Let z be ((-40)\/12)\/(3\/9). Let g be s(z). Let i be ((-6)\/g)\/(21\/70). Solve 4*n - 2*b + 3*b = i, -2*n + b + 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 4*b - 8, -y - 2*y + 21 - 37 = -5*b - 31 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 29, 8, -33, -100, -199?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1302, 5189, 11662, 20721, 32366?\nAnswer: 46597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3438 divided by -60\nAnswer: -573\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 33*p + 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2150.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1152 - 1152 + 5*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96510.6 + -22.\nAnswer: -96532.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1254408564 to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuhuqquhuh. Give prob of picking 4 u.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**5 + 12817*f**3 + 1926*f**2 + 2469?\nAnswer: -120*f**2 + 76902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 2*i - 2*i - 2*i - 3*i + 3*i + (i + 4 - 4)*(0 + 0 - 2) + 4*i + 4 - 4 - 73 - 18*i + 73 + 1 + 2 - 2 - 2*i)*(10*i**3 - 3*i**3 + 12*i**4 - 10*i**4).\nAnswer: -42*i**5 - 145*i**4 + 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (525\/1000 + (-3)\/24)\/((-2)\/(-14090)).\nAnswer: 2, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -y + 6*z - 7*z, 3*y - 2*z = 0. Which is the third biggest value? (a) 0.2 (b) y (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9424728*s**4*z - 2*s**4 + 2*s*z + 79*s + 7*z + 15 wrt s?\nAnswer: -113096736*s**2*z - 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -33, -49, -65, -81, -97?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/7 + 12*l**2\/7.\nAnswer: 2*l**2*(l + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3049042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/10 + 13848\/120 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 12*y + 638. Let p be z(-53). Let b be (18\/(-1))\/(5\/(-5)). Suppose -3*m = -l - b, -2*l = 3*m + 31 + 5. Sort l, 4, p in ascending order.\nAnswer: l, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 61\/4 of a year?\nAnswer: 183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.6 + -1.6. Let i = o - 6.6. Let c = -70 - -351\/5. What is the second biggest value in i, c, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from tktttmmkt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 10*x**2 + 55*x - 70. Let b(j) = -13*j**2 - 54*j + 73. Let q(w) = 5*b(w) + 6*d(w). Determine h so that q(h) = 0.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 718 = 5*a, -2*g - 2*a = -0*a + 1396. Let d = -304 - g. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3906 - -19549\/5. Which is the fourth smallest value? (a) -1 (b) 1\/5 (c) f (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504843 to the power of 1\/2, to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + (-22 - 12) + 123.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1335231, -1335220, -1335209?\n\"Answer: 11*m - 1335242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14099 is divided by 13911?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-31\/3)*s)\/s)\/s*s**6*s)**(2\/33) assuming s is positive.\nAnswer: s**(-26\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 84*h**2 + 335*h + 157. Give o(-88).\nAnswer: 1653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 10:08 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5713256*l*q**2*r - 15734280*l*q*r wrt q.\nAnswer: 11426512*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*j + 23*j + 18*j + (-4 + 1 + 2)*(0*j - j - j) + (-8 + 6 + 5)*(-6*j + j - j) as x + y*j and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 + 12*s + 1. Let v be t(-7). Suppose -6*w = -w - 675. Calculate the greatest common divisor of v and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 2*v**2 - 3*v + 2. Let q be k(2). Let i(c) = 2*c**3 + 11. Let r be 0*(0 + 2*2\/8). Let g be i(r). Is q <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 6*u - 6. Let w be y(-5). Let v be ((-480)\/14)\/(w\/175). Round v to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/9)\/7*6\/(-34).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10664 (base 7) in base 8?\nAnswer: -5265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54 + 57 - -38) + 7?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25\/178 + -5451\/1424. Find the common denominator of -19\/5 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3968690688 to the power of 1\/2, to the nearest integer?\nAnswer: 62998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3759941461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 54 = -15. Let z = d - -65. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -23*s**3 + 2298*s**2 + 14828*s + 1272 = 0. What is s?\nAnswer: -6, -2\/23, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2*f + 6. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.12 plus -3?\nAnswer: 49.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2544 and 79\/6210752.\nAnswer: 18632256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)\/(sqrt(8)\/sqrt(2)) + -2 + ((sqrt(60) - sqrt(1500))\/sqrt(5))\/(sqrt(150)*2) + 0.\nAnswer: -2 + 23*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 4*i = 14 + 6, -3*l + 2*i = -15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -7. Let r = 113.4 + -113. What is the nearest to 2 in 2\/3, r, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 0*c**3 + 0*c**6 + 5*c**2 + 0*c + 0*c**5 + 1 - 1\/6*c**4 + 1\/42*c**7. What is the second derivative of v(q) wrt q?\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*n + 14 + 24, 2*n - 2*k = 24. Calculate the remainder when 1451 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + d**2 - d - 36. Give i(0).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38400031 less than 9?\nAnswer: -38400022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 0.011297\nAnswer: -0.0056485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*u**3 + 1143*u**3 - 172*u**3 - 180*u**3 - 246*u**3 - 182*u**3 - 176*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 336, -78, -768, -1734?\n\"Answer: -138*v**2 + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4 - 23*v**3 + 139*v**2 - 297*v + 180 = 0. Calculate v.\nAnswer: 1, 3, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 3*z**2 - 3*z. Let h be a(-2). Suppose 0*s - 4 = -h*s. Suppose -s = -4*b + 2. Which is bigger: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m + 6*m + 9*m**3 - 9*m - 13*m wrt m?\nAnswer: 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2307*a + 4366. Determine h(2).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -318, -8, -4260 in descending order.\nAnswer: -8, -318, -4260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24012442211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -148 - 2*(-3 - -4). Let o = b - -156. Suppose 16 = 2*c - 2*h, 2*c - h - 14 + 0 = 0. Calculate the least common multiple of o and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from jjjjjmmjjmjjjjj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - g - 3*g + 64 = 0, 3*u + 5*g = 94. Let i be (-6)\/(-10) + u\/(-30). Which is the third smallest value? (a) i (b) -2\/13 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*t + 13, -3*q = -4*q - t + 6. Calculate the smallest common multiple of 3 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.028542019 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1951?\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 2 + 2)*(4 - 4 - 2)*(-4*f**3 - 4*f**3 + 6*f**3)*(8 - 8 + 7*f).\nAnswer: -28*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -10390700 to the nearest one hundred thousand.\nAnswer: -10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4 = -12. Let c(b) = 5*b - t*b - b. Let i(o) = o**2. Calculate c(i(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 58*d + 524. Let x be o(-9). Solve -12 = -x*t, 2*v - 3*t = -5*t + 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 12, d: 1, h: 1, a: 1, k: 2}. What is prob of sequence dd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91 + 104. Suppose -b*s + 4*s + 3375 = 0. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 508 = 3*w - 167, -4*w - 2*c - 462 = 0. Sort w, -3, 5, 4.\nAnswer: w, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -367802\/9 or -2\/9?\nAnswer: -367802\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 31\/((-2)\/(1699 + 3)). Let q = -14481 - l. Round q to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*i**3\/8 + 583*i**2\/8 + 1879*i\/4 - 74.\nAnswer: (i + 8)*(i + 37)*(13*i - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7550711ml in litres?\nAnswer: 0.0007550711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5) - 3\/15. Let x = -0.58 - -0.18. What is the second smallest value in b, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppo when four letters picked without replacement from {p: 12, o: 7}.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 76, -110, -306, -518, -752, -1014?\n\"Answer: -v**3 + v**2 - 182*v + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -441*n + 220*n. Solve -5*g - 165 + 145 = n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3011, 6020, 9029, 12038, 15047, 18056?\nAnswer: 21065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-322)\/6*(132\/56)\/(-11)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 791749 divided by -5953.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2 - -1 - 20\/120.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 38. Let h be (q - (-10)\/(-4))*(-28 - -6). Suppose h*v - 10*v = 583. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -2834\nAnswer: -1\/2834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3*((-37)\/3 - 2) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 28 and 26 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 351, 531, 729?\nAnswer: 945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -322222, -644444, -966666, -1288888?\n\"Answer: -322222*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*x + 84. Let l = 17 - x. What is the units digit of (-280)\/(-6) + l\/27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1658*p - 352*p + 498*p as a + h*p and give h.\nAnswer: -1512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkiikkkpkikgkk. Give prob of sequence kgik.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -211 + 272. Which is the third biggest value? (a) -2\/17 (b) -5 (c) l (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 176928933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-21))\/(-4)*(-9 - -6). Sort z, -2\/7, -1\/2 in decreasing order.\nAnswer: z, -2\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -300 - 7*k + 0*k + 292. Let g be c(-8). Suppose -x + g = -32. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3 + sqrt(1377) - sqrt(1377)) + sqrt(1377))**2 + -5*(sqrt(1377) + 1).\nAnswer: -117*sqrt(17) + 1388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*d*n**3*r**3 - 468*d*n**3*r**2 + 22*d*n**2*r - 5*d*n**2 + 24*d*n*r**3 wrt n.\nAnswer: -120*d*r**3 - 2808*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 - k**3 + k**3 + (3*k**3 - 5*k**3 + 4*k**3)*(-2*k**2 + 2 - 2) - k**3 + k**3 - k**5 + 654962*k**2 - 654962*k**2 - 414*k**5.\nAnswer: -418*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 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: Calculate the remainder when 1812 is divided by 703.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3, 4, -13, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*(sqrt(13)*1 + sqrt(13)) + -5 + 0 + sqrt(13)).\nAnswer: -22*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2048))**2*3 + 3.\nAnswer: 384*sqrt(2) + 6159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbsububs. What is prob of sequence sbbu?\nAnswer: 28\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(465\/(-24))*(-13)\/676*-13?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 - (86 + -76 - -3).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -6)\/((-9)\/48). Let d be 2 + (-1 - (-2 - r)). Calculate the highest common divisor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342441 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -275743978.49955 - -276105100.5. Let u = 361109 - h. Let d = 13 + u. Round d to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 93*l**5\/5 + 9396*l**4\/5 + 75228*l**3\/5 - 188784*l**2\/5 = 0?\nAnswer: -92, -342\/31, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18040 by 22.\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45185 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001110101110110011 (base 2) in base 11?\nAnswer: -36a26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q - 3*q - 6*q**3 + (q**3 - q**3 - q**3)*(-271 + 136 + 130) in the form f*q + v*q**2 + g*q**3 + b and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + (7 - 12) + -2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -143 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 + 79.64. Let c = q - -1.36000103. Round c to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6974 + 13885. List the prime factors of r.\nAnswer: 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210 (base 3) to base 14.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -17 - (-3 + 3 + -1 + 25)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3655 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229276457?\nAnswer: 37, 199, 31139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 7. Let f(m) be the first derivative of -m**3\/3 + 4*m**2 - 6*m + 2. Give f(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*p + 22*p**2 - p - 19*p - 8*p wrt p.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 0*o + 4*o + (2*o + 0*o + 4*o)*(64 + 9 - 10).\nAnswer: 380*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1599075*z**2 + 727569 wrt z?\nAnswer: -3198150*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22 and -223.\nAnswer: -4906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*h - 21 = 0, -c = -2*c + 4*h + 15. Let l = -160 - -169.9. Let x = l + -12.9. What is the closest to 2\/7 in 3\/2, c, x?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + h - 256599 = 0, -4227*h + 85533 = g - 4226*h. What are the prime factors of g?\nAnswer: 3, 7, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -902 times 20\nAnswer: -18040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 10*v**2 + 7*v + 8. Let b be r(9). Let c be (16\/b)\/((-18)\/(-45)). Let n be c\/(-5)*(-5)\/(-2). Solve -l - q + 3 = -4*l, n*q = -l - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j + 0*j + 0*j)*(0 + 5 - 5*j + 4*j)*(0 + 0 - j) to the form b*j**2 + l + f*j**3 + t*j and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 12*k + 9. Let y be r(-7). Calculate the greatest common factor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f + 33. Let c be v(-9). Is 23 a factor of 10\/c + 45440\/60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -66897*i + 668980. Give k(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 2 - 1 - 6*s)*(-2*s**2 + 3*s**2 + 4*s**2).\nAnswer: -15*s**3 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395.69*-0.425.\nAnswer: 168.16825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 143600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z - 3. Let o(p) = -p - 1. Let j(n) = -3*k(n) + 5*o(n). Suppose -5*q - 5 = 4*g, -11 = 3*q - 2*g + 6*g. Calculate j(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/5))**(12\/13) assuming c is positive.\nAnswer: c**(48\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2318 is divided by 590.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -344 + 302. Let j be 0*(5\/(-2) - -2). Let r be (j - 3\/4)*(-28)\/v. Which is the third smallest value? (a) r (b) 2 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4 - 10. Suppose -4*u - 26 = y, -3*y + 4*y - 23 = x*u. Let h = u + 17. 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 -0.01884 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 1, 12252234?\nAnswer: 12252234","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 118316139 divided by -6\nAnswer: -39438713\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v - 24 = 0. Let z be -80 + (1*v)\/4. Let x = -79 - z. Solve x + 0 = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 316*f**2 - 2*f - 24. Determine m(1).\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 74168?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -350 + 413. Calculate the remainder when v is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/23)\/(g**5*g))\/(g**(5\/3)*g*g*g**1*g) assuming g is positive.\nAnswer: g**(-811\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*i + 8 = 26, i = -2*p + 3. Let w(s) be the third derivative of 0*s**p + 0*s**4 + 0 + 0*s - 1\/30*s**5 + 2*s**2. Factor w(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -125 or -123?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1392 + 14d?\nAnswer: -1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 235 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -5\/24*l**6 - 1\/3*l**5 - 2 - 11*l**2 + 0*l - 1\/21*l**7 - 5\/24*l**4 + 0*l**3. Factor a(z).\nAnswer: -5*z*(z + 1)**2*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 - -53. What are the prime factors of -2 + g + 0 + 97?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -7, -6, -1\/6, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2719*b**4 - 22563*b**2 + 431450438*b wrt b.\nAnswer: -32628*b**2 - 45126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2 + 3 + 4 + 3*o**3 - 4*o**3 + 7*o**2 - 7*o. Suppose -4*y - i - 2*i = -24, 6 = y - 5*i. Determine w(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3354117 divided by 197301?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 33 = 3*z + 294, 3*r = 3*z - 429. Let u = r - -201. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -5*t**5 + 3*t**2\/2 + 7. What is the second derivative of d(m) wrt m?\nAnswer: -300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78789.5+-2400.1772\nAnswer: -81189.6772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/60)\/(8\/108*-12). Which is the nearest to 3? (a) -1 (b) 1 (c) o (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**2 - 3*r - 9. Calculate c(-4).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2401*o - 12161.\nAnswer: 2401","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfmh. Give prob of picking 1 m and 1 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -46*m + 41*m - 3 + 2 + m**2. What is g(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*n = -27*n - 72. Calculate the highest common factor of 28 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 44, 50, 56, 62?\n\"Answer: 6*z + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(5*a + a - 4*a)*(a - a + 9*a**2).\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3033272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 193.22 * 0.6\nAnswer: 115.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u = 17*u + 84. Suppose -3*j - 4*q - 7 = -87, 3*j - u = -3*q. Let l = -269 - -381. Calculate the highest common factor of l and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211025 divided by 293\nAnswer: -211025\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*g + 2*k, -3*k + 12 = 0. Let m = 28 - 19. What is the least common multiple of 2 and m\/(-1)*g\/(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42\/12 - 2\/4. Is 8 a factor of (r\/(-6))\/((-1)\/32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*t + 83*t + 574. What is the common denominator of 47\/11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5330924 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 33*s - 14*s)*(5 - 1 + 0)*(-3*s - s + 3*s).\nAnswer: -52*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 925?\nAnswer: 2775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**3 + 51*d**2 + 304*d - 11. Calculate i(-7).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 18. Solve 8*c - 3*c - x*q + 25 = 0, -c + 5*q = 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*h + 6*h - 4385*h**4 - 7*h - 4*h**3 + 5977 + 4391*h**4 - 33*h with respect to h.\nAnswer: 24*h**3 - 12*h**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 6. Let u be 2 - -1 - (-9 + 9). Let i be p(u). Solve -2*m = 3*k + k + 18, -4*m - i*k = 26 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 * -5619\nAnswer: 1460.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3686833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 13*d + 53. Let b be s(-5). Let g(y) = -y + b + 11 - 25. What is g(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14833537?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 12*m + 12. Determine d(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 240030 + 2?\nAnswer: 240032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**2. Let o = 26 + -23. Let u(s) = 5*s + o*s + 5*s**2 - 8*s. Give x(u(f)).\nAnswer: 100*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 - -81. Let s be (-10 - 29\/v)\/(1\/(-15)). Solve -2 = s*i - f - 3*f, 8 = -i - 3*f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/2 + 20\/(-5). Is (w + -1 - -1)\/(28\/5306) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7161196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*o + 103 = k, -4*k - 3*o - 368 = 0. Let w = 100 + k. Let y(u) = -u + 1. Let h(n) = -4*n + 2. Let r(q) = h(q) - y(q). Determine r(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 18 = 3*q, -3*v - 2*v = -2*q - 19 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-2)*o)*((o*o**(-8))\/o)\/o*o)**47 assuming o is positive.\nAnswer: o**(-282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.18 (b) -1779 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - h**2 + 1 + (-4 + 6 - 1)*(h**2 + 0*h**2 - 3*h**2) - 13*h**2 - 12*h**2 - 34*h**2 to the form o*h + a + n*h**2 and give n.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3813*b + 183913 - 121940 + 207101 = -47405 for b.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -30.141. Let h = 0.023 + x. Round h to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281422343 to the nearest integer?\nAnswer: 16776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + 1.7. Let f be 4\/(-6)*-1*9\/(-33). What is the closest to 2\/7 in i, -0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -11*x + 1. What is the remainder when c(-6) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 68*l**2\/3 + 70*l - 196\/3.\nAnswer: 2*(l - 7)*(l - 2)*(3*l - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2662.883 - -2661. Let z = k - 0.117. Let u = 0.9 + 0.1. What is the nearest to 0 in 5, u, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3508866 and 0.2.\nAnswer: -701773.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 27*s**2 - 44*s + 148. Calculate f(-25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9533 (base 11) in base 2?\nAnswer: 11000101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7112 and 218021408.\nAnswer: 1526149856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1056 = f + 3*f. Let g(a) = -a**2 - 13*a + 192. Let v be g(-21). Calculate the highest common factor of v and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00212852196 to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3833*r - 1188247. What is k(310)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**3\/6 - n**2 + 196*n. Let r = -7 + 4. Calculate c(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1473357?\nAnswer: 3, 23, 131, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 1:09 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*x + 50 - 106 - 8*x**4 + 26 - 3*x**4 wrt x.\nAnswer: -44*x**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 3:45 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -425*t**7\/42 - 50*t**3\/3 + t**2\/2 - 28*t - 1. What is the second derivative of x(q) wrt q?\nAnswer: -8500*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z - 69*z - 13*z)*(-10 - 3*z - 3 + 12) to m*z**2 + v*z + a and give v.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77798 is divided by 1772?\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/6 - -1*80\/3. Let k = n - 23. Suppose 0 = -4*m + 16, -m = -2*t + 2*m + k. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4465264.\nAnswer: 2, 73, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 2*p**2 - 2*p**2)*(-63 + 63 + 22*p).\nAnswer: -22*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 169453, 338921, 508379, 677821, 847241, 1016633?\n\"Answer: -t**3 + t**2 + 169472*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240780 and 286680.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2916 + 1974. Let w = -523 - q. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 20*t - 48. Let g be p(23). Calculate the highest common factor of 28 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1584)\/(-384) - 1*4. Let s = 488 - 488.2. Which is the fourth smallest value? (a) r (b) 1 (c) s (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030891 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1489497.9 months to millennia.\nAnswer: 124.124825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**3 - 7228*w**2 + 3108*w + 5 wrt w?\nAnswer: -12*w - 14456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 3) + -7 + 0. Let c = 6227\/3 + -2054. What is the common denominator of c and ((-1)\/n)\/((-6)\/822)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d**2 + 38*d - 14. Let u be n(6). What is the remainder when 3*u\/(-24) + 951\/4 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 18360240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 71*r - 1. Let z be l(1). Calculate the highest common divisor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3237087302?\nAnswer: 2, 37, 43744423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l + 10 = -2*w, -l - w - 4 = 0. Let j = 2 + -12. Let v = l - j. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/((i*i**(-2))\/i)*i**(3\/10)*i*i**(-5\/6)*i**4*(i**(2\/5))**33\/(i**(3\/4)*i*i*i\/(i\/(i**(1\/7)\/i))) assuming i is positive.\nAnswer: i**(1577\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-260)\/455*4\/(-16)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -71432 or -71421?\nAnswer: -71421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/7 (b) -0.5 (c) 8\/11 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 + -7)\/(0 + -1). Suppose -2*z = -10 - r. What is the second derivative of 0*v - 4*v + 6*v**3 + 5*v + z*v wrt v?\nAnswer: 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 5. Let q be v(8). Suppose -2*z = q - 5. Let h be z\/(((-4)\/(-18))\/(-1)). What is the greatest common factor of h and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -997, -1984, -2971, -3958?\n\"Answer: -987*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4801 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107 - -192. Let i(h) = 35*h - 1. Let f be i(1). Calculate the greatest common divisor of c and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2047 - 2079. Is -30 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.049*-716\nAnswer: -3615.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 10*d + 10. Let a(h) = -h - 3. Let b = 3 - -3. Let c be a(b). Let n be x(c). Calculate the greatest common divisor of 76 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-10*9\/111*(-1164)\/(-8730)\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1430108 plus 540309?\nAnswer: -889799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + w - 9. What is the remainder when w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/((6\/19)\/3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + -7. Let w(l) be the first derivative of -2*l**2 - 3*l - 55. Let p(f) = 7*f + 5. What is q*w(j) - 6*p(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/993501 and -3\/23733635.\nAnswer: 213602715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 4*q = -44, 3*q = -x - 4 + 15 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/1950 and 197\/390?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 8*d**2 - d - 5. Let w be j(-8). Suppose -2 = w*v - 4*v. Solve -29 = -x + 5*z, -v*z + 22 = 3*x - 4*z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -507011566*w**2*x**2 - 10*w**2*x + 1381951*w*x - 2*w + 2*x wrt x.\nAnswer: -1014023132*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1715*g - 2417*g = -333*g - 479*g - 49800 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**1)**(37\/2))**(-11\/5))**32 assuming j is positive.\nAnswer: j**(-6512\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -9*s**2 - s + 2. Suppose 4*w + 7 = 2*c + 13, 2*w = 2*c + 2. Give r(w).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476932062.\nAnswer: 2, 3, 4783, 16619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151616341 is divided by 75808167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 11*w - 45. Suppose 3*t - 4*t + 1 = 0. Which is the biggest value? (a) t (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.009 + -0.104.\nAnswer: -0.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 11111?\nAnswer: -100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12, 37, 74, 129, 208, 317, 462?\n\"Answer: t**3 + 18*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -955 or 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2601222*d - 222. Let c be o(-1). Round c to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (1 - (-3 + 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31830893.\nAnswer: 29, 31, 35407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in 1\/3, 6, 0.02, 2\/5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, d: 7, j: 2, i: 2, f: 2, s: 2}. What is prob of sequence jdjy?\nAnswer: 1\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from qqpqfpqffqpfpfqqpq.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1058 + 1796. List the prime factors of z.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 564750, 1129522, 1694294, 2259066?\nAnswer: 2823838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92546 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5891*m - 3*m**3 - 5964*m + 17748*m - 5893*m.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - h - 108 = -4*h, -3*i - 2*h - 133 = 0. Let q = 43 + i. Suppose -8*r - q = -10. Calculate the lowest common multiple of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*m**2 + 152*m - 152*m)*(0 - 4 + 1).\nAnswer: 75*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 7*l**2 - 8*l - 5. Let b be v(-6). Calculate the highest common divisor of 35 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrsrrxsxrsrrsqs. What is prob of sequence ss?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*y**2 + 2*y**2 - 3*y**2 + y**2 - 16*y wrt y.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2218*f - 747*f - 807*f.\nAnswer: -3772*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 187\nAnswer: 93.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 8:38 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 10. What is the units digit of -6 - -3 - (-11 - b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/7 (b) 1\/10544 (c) 4\/3 (d) -1 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {u: 5, c: 2, m: 3, i: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.2 - 7. Let i = 1.8 + s. Is i at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 1:18 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -113100330?\nAnswer: 113100321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 11724968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 1. Let d(i) = -42*i**2 - 7*i + 23*i**2 + 24*i**2 - 3 - 20*i. Let f(h) = -d(h) + 3*u(h). What is the second derivative of f(n) wrt n?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109899570?\nAnswer: 2, 3, 5, 11, 333029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*h = -81, -3*h = -9*m + 7*m + 64. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-2))\/((-7)\/(-2) + -3). Solve q = -n, -9 = -2*c + n + 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (4\/(-4) - -3)) + 400. Calculate the highest common divisor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*d - 55 = 0, -22*d + 20*d = -10. Let x be 0 - y*24\/(-30). Let c(j) = j**2 + 9*j + 8. What is c(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k - 48*k - 12*k + 13*k as t + z*k and give z.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l + 48. Determine y(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -22*b - 67262. Let x(z) = -4*z. What is t(x(r))?\nAnswer: 88*r - 67262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -329*x - 141*x - 275*x + 151*x - 150*x as v*x + w and give v.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -7 + 3 - (-45 + -6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3970759.\nAnswer: 13, 31, 59, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5357, -10883, -16411, -21941, -27473?\nAnswer: -33007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 + 57 = -28*g. Let t(j) = -2*j**2 - 18*j + 2. Give t(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 287 - 286.9. Let u = 0.29 - -0.01. Which is the second biggest value? (a) r (b) 1\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 1 = r. Let y = -465 - -1040.5. Let p = -573 + y. Which is smaller: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 9:21 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 4*w**2 - w. Let b be l(4). Let j = -2 - b. Let a(s) = 3*s**2 - 6*s**j + 4*s**2. Let p(c) = -2*c. Give a(p(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h - 14. Let v(z) = z - 8. Let d(q) = 5*v(q) - 2*y(q). Suppose u = -8 + 1. List the prime factors of d(u).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003905440239 rounded to 5 decimal places?\nAnswer: 0.00391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1688 - 985. Let c = s - 703.000000436. Round c to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 7*q + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33021 (base 6) in base 5?\nAnswer: 121144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 + -60. Suppose -10*p = -15*p + q. What is the derivative of 4*b + p + b - 17*b - 6*b wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b. Let i(f) = -64*f. Let k(y) = 66*y - 3497. Let q be k(53). Determine q*i(g) - 12*m(g).\nAnswer: -52*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 2 - (2 + 2 + -4 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**3\/6 + k**2 - 434*k. Let n(j) be the second derivative of j**4\/12 - 2*j - 2. Determine n(r(l)).\nAnswer: l**2 - 4*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i**4 - 1392*i**2*t**3 - 4*i*t**3 + 2*t**3 - 2*t**2 - 796 wrt i?\nAnswer: 4*i**3 - 2784*i*t**3 - 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/6)\/(1193 + -1183)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 405105?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*a + 4, 5*m + 20 = -5*a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35188, 35019, 34850, 34681, 34512, 34343?\nAnswer: 34174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + 695\/50)\/1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 1:00 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -111010?\nAnswer: -111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1, 56, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 21, 50, 91, 144, 209?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*d + 7 = 0, -3*m + 13 = 3*d + d. What is the greatest common factor of m and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 10*l**2 - 6309*l - 26035. Calculate u(635).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 836 - 834. Solve 0 = -f*y - 20 + 24 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79765923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 451.68906 rounded to 0 dps?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, -38, -53, -52, -29, 22, 107, 232?\n\"Answer: r**3 - r**2 - 29*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 9*u = 14. Solve -u*l = 2 - 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + (-1*sqrt(153) + -2 + -5 + (sqrt(153) - (sqrt(153) + sqrt(153)*-2)))**2 + (sqrt(153)*-4 + 5 - (2 + -1*sqrt(153)))**2).\nAnswer: -3176 + 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/(-44) + 8263903\/781?\nAnswer: 3, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-25*g - 91*g + 48*g)*(-3 - 1 - 1) + (-1 + 1 - 6*g)*(3 + 1 - 6))*(-2*g + 2*g + 3*g) as b*g + i + f*g**2 and give f.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 84 and -5290055.\nAnswer: -5289971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1454 - -1547. What is the remainder when 1392 is divided by o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -13*c**3 + 5*c**2 - 8*c + 7. Calculate j(2).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6bb0 (base 12) to base 11.\nAnswer: 9096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38227930 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 10. Let p = 169\/9 - 175\/9. Which is the smallest value? (a) p (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 10.9, 2\/1087?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -221500 (base 8) to base 14\nAnswer: -1d25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/60 + (-256)\/(-1536)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -26. Let n = z - 20.17. Which is bigger: n or -1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 186 - 184. Solve 0 = d*x + 3*x + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a kilometer in meters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1222\/9 or -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31567, 64301, 97035?\nAnswer: 129769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/373, 2, -59\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*s = -64*s - 39. Suppose -s*n - 40 = -p, 0 = 5*p + n + n - 132. Calculate the remainder when p is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12412151243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*n + 56*n - 56. Let h be (-1102)\/n - -3*(-6)\/(-63). Suppose 3*q + b = 286, -5*b = 3*q - 211 - h. List the prime factors of q.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 5:55 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, k: 3, t: 1, z: 1}. Give prob of sequence kz.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3535 - -5786. Solve -n*j - 35 = -2258*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -449*v - 185. Let c(d) = 446*d + 185. Let o(n) = 5*c(n) + 6*u(n). Is o(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71 - 98149?\nAnswer: -98149.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -43*g**2 - 5*g - 2. Let u(d) = 5*d**2 + 3*d - 3. Let l be u(1). Let y(i) = 22*i**2 + 3*i + 1. Let h(x) = l*y(x) + 3*m(x). Differentiate h(a) wrt a.\nAnswer: -38*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2091865546 to the power of 1\/3, to the nearest integer?\nAnswer: 1279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18*(-16)\/(-360))\/(20292\/285).\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66 + 58. What is the nearest to 0.1 in 3, 2\/5, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119884*d**2*i**4 - 34*d**2*i**3 - 2*d**2*i - d**2 + 3558*d*i - 41*i**2 wrt i?\nAnswer: 2877216*d**2*i - 204*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000135206811 to 7 decimal places.\nAnswer: -0.0001352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45054489 - -35.\nAnswer: 45054524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1631 - 1632. Which is the closest to 7? (a) 0 (b) 1\/6 (c) 0.3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9624, -9633, -9642, -9651, -9660, -9669?\nAnswer: -9678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 239 - 1075. Let q be n\/(-140) - 3\/(-15). Let z = -135\/56 - q. Which is the biggest value? (a) -3\/7 (b) z (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**7\/42 - 2*b**5\/5 + 17*b**3\/6 - 3*b**2\/2 + b + 14. What is the second derivative of r(g) wrt g?\nAnswer: -20*g**3 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 112 = -2*v, 5*v + 53 = 4*n - 59. Factor 209101 + n*l**3 - 209101 - l**5 - 12*l**4.\nAnswer: -l**3*(l - 2)*(l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) - (sqrt(125) + sqrt(125) + sqrt(125) + 0)) + sqrt(45)\/(sqrt(18)\/sqrt(2)))**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 431712032\/20 - 4\/(-10). Let z be 1\/(4\/6)*r. Suppose 94878403 = 5*y + z. What is y rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 6:10 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 828 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1833463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 230 - 217. Suppose u = 2*q - 21. Solve q*o - 6 = 14*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + 0 + 1 + (sqrt(7) - (sqrt(847) + 0)).\nAnswer: -10*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15 - 150*i**4 - 5*i**2 + 3*i**2 + 1259*i**5 + 150*i**4 wrt i.\nAnswer: 75540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716633 is divided by 207.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14283 and 158976.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12353 + 39*s**2 + 12323 + 13*s**2 to n + y*s + q*s**2 and give q.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 2*p**2 - 5*p + 1. Let m be h(-4). Let k(x) = x**2 + 7*x - 11. Let a be k(m). Let v = -11 + a. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266247 + 267580 = -43*f for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 432.4008124283 + 9035730.5991195717. Let l = m + -9036142. Let b = -21 + l. What is b rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 6*o - 4*h = 0, 5*o + 3*h = 115. Calculate the smallest common multiple of 16 and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1358*b + 45. Let w(c) = c. Let h(l) = -t(l) - 4*w(l). Let r be h(-8). Let s = 369863\/34 + r. What is the common denominator of 47\/8 and s?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mppm when four letters picked without replacement from mmmmmmmpmpmmm.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 5. Let a(x) = x - 3. Suppose -13950 = -6*n + 36*n. Let w = 469 + n. Give w*c(h) - 7*a(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 13*g = r - 124, 16*r + 2*g = 7*r + 10*r - 19 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 4221 + o - 15*o**3 + 4221.\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**5\/4 + 4*p**4 - 19*p**3 + 20*p**2 = 0.\nAnswer: -20, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110523448 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**4\/24 - o**3\/6 + 2*o**2. Let c(u) = -3*u + 3. Suppose 10*b + 4*b + 1778 = 0. Let j = 122 + b. What is j*r(q) - 2*c(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**5 - 3*a**5 + a**5 + (a**4 - a**4 + a**4)*(2*a - a - 2*a).\nAnswer: -2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*z - 41. Suppose 12*w - 16*w = -4*o - 20, -w + 11 = -4*o. Suppose 7*p**2 + z*p**w - 3*p**2 - 9*p**2 - 5*p**4 = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**9\/3780 + g**8\/840 + g**7\/126 - g**6\/30 + 3*g**4\/2 - g**2 - 21*g. Let x(a) be the third derivative of j(a). Factor x(f).\nAnswer: -4*f*(f - 3)*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 320507735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + -1 + (-37 - -22 - -7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 4\/3, -1\/3 in decreasing order.\nAnswer: 43, 4\/3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 + 129*a - 2. What is the lowest common multiple of z(-72) and 1540?\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*o = 0, 2*b - 16*o + 11*o + 30 = -8 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 6*o - 10*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 11:44 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*r = -2, -p - r = -2*r + 2. Suppose o - p*h - 100 = -4*o, 3*o = -5*h + 29. Solve -2*c + y + o = c, c - 14 = 3*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -2 (c) 1\/9 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*d**2 + 2*d**2 - d**2)*(2*d + 2 - 2) - d + d - 2*d**3)*(-3 + 3 - d**2) + 6*d**5 - 5*d**5 + d**2 - 3*d**2.\nAnswer: 5*d**5 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18037 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*i + 11245, 6*i - 4*i = -3*r + 6749. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.08 (b) 6\/13 (c) -2\/9 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttztvpznz. What is prob of picking 1 t and 1 p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10121860 and 50609300?\nAnswer: 50609300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -1. Let n be (-109 + 107)*(-6)\/(-4). Let j = 18 + -13. Which is the nearest to w? (a) j (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 130 = 8. Suppose r - 303 = -u. List the prime factors of r.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 108, 87, 30, -81, -264, -537?\n\"Answer: -3*a**3 + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -1 - (-7749)\/492) + ((-182)\/8 - 21)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -239118599022 - -0.06\nAnswer: -239118599021.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0 + (35 + -39 - (1 + -13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 5, -0.3, 21\/5, 226?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-364)\/(-98) + (-2)\/(-7). Suppose -p + 130 = a*p. Calculate the remainder when 76 is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10282792 is divided by 554?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/7121426 or -2\/7?\nAnswer: -1\/7121426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 18*y**2 + 2*y - 368. Calculate b(18).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*g = -1780 - 1745 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 100, 101, 102, 103, 104, 105?\n\"Answer: k + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 8331 - 8358 = 4*d, -5*l = -d - 13 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/15 and -19\/1590.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k - 3. Let a be l(-2). Suppose -4*g - 3*f + 149 = -102, -3*g - 3*f + 192 = 0. Let z = -47 + g. Solve -3*i = -z + a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 5:56 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmjmmjjjjjjmjmjjmj. What is prob of sequence jjmj?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6151758, 6151734, 6151712, 6151692, 6151674?\n\"Answer: o**2 - 27*o + 6151784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 444 and 35916.\nAnswer: 1328892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**6\/120 - a**5\/20 + a**3\/6 - 2*a**2. Let y be x(-2). Let f = y - -33. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 3:24 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 71317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001859 rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/6 of a century in months?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from mmmmmwmwmwmm?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqvvvvvjvrljvlqvrnvj. What is prob of sequence nq?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2 - 2*n**2 + 2*n**2 - 5*n - 3*n**2. Let j(u) = -u**2 - 3*u + 1. Determine -3*a(y) + 5*j(y).\nAnswer: 4*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466*v - 418*v + 252*v - 24648 = 0 for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7 + 5*t + t + 6 - 11 + 2*t**3 + 6*t**2.\nAnswer: 2*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0 = 4. Suppose -5*a + 31 = 3*z, 3*z + 2*z = r*a - 47. Suppose 4*b - a = 0, 2*b - 132 = y - 3*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9768 less than or equal to 9873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o + 4. Let x be t(-4). Let b be 5\/(5\/x)*-1. Suppose 3*p = -2*g + 49, -b*p - 3*g + 82 = p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1977 + -1316\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (19\/2)\/((-4)\/(-40)). Suppose 4*y = -200 + 188. Let x be (y + 8 + -6)*-19. Calculate the greatest common divisor of x and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i + i. Let v(j) = -2*j**2 + j - 4. Let f be v(i). Let r be (5*-4)\/f + -1. Solve 2*l = r*h - 14, 3*h - 9 = -h + l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-11 - -4) + 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 0 + 4)\/3. Suppose -o = 16 - 12. Let y be (-3)\/(-2)*o\/(-3). Solve y*k = -5*t - 21, j*k - 7 = t + k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-8))\/((-8)\/(1088\/4641))?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 83*o**3 + 3*o**2 + 4*o + 7. Let r be u(5). Suppose -3*t = r + 27623. Round t to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/5)\/((17 - 10)\/(-10255)). Suppose 16*n - 75 = o. Solve 0*u - 5*u = -4*z + 25, 4*z - 3*u - n = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 12 = 2*i, -7*i = -3*i + 2*g + 18 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*u - 414*u = -4130 - 144298. Is u a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 1\/3 (b) 2 (c) -0.0037 (d) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 118*u - 2855. Calculate g(84).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1110902585 to the nearest integer?\nAnswer: 33330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 6*n - 4*n)*(23*n + 8 - 8) to the form t*n + l*n**2 + c and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*a = 0, -a = -2*p + 10 - 3. Let u be p\/(-120)*2*6\/4. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/16)\/(o*o*(o\/(((o*o**(-14))\/o)\/o))\/o*o))**(-50)*((o\/(o*o**(-8)))\/o**(-14))**(-7) assuming o is positive.\nAnswer: o**(5943\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -203 in -1\/16, 2\/13, 2, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*i**4 + 2590*i + 91361 wrt i.\nAnswer: -64*i**3 + 2590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4386*g + 14265*g + 11994*g.\nAnswer: 21873*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14574.\nAnswer: 2, 3, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32848 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 eighth root of 907943997 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(95) + (4*((sqrt(95)*1 - sqrt(95)) + sqrt(95)) - sqrt(95))))\/(sqrt(245)*2 + sqrt(60)\/(-2*sqrt(12) + sqrt(12))))**2.\nAnswer: 2736\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 51 - 42 = 0. Solve 0*o - o + 3*v = 13, 3*o + q*v - 21 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v + 12*v = -28*a + 27*a - v - 22, v = 3*a - 22 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 10. Let d(x) = 10. Calculate -2*d(y) + 3*s(y).\nAnswer: 3*y + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 20*k**3 - 6*k**2 - 8*k + 6. Let w(d) = -13*d**3 + 4*d**2 + 5*d - 4. Let o(b) = 5*c(b) + 8*w(b). Let x(m) = -m**3 + m**2 - 1. Give o(j) - 2*x(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 33*y**3 - 23*y**2 + 8. Let n(b) = -67*b**3 + 48*b**2 - 17. Let w = -185 + 172. Let u(d) = w*l(d) - 6*n(d). Find the third derivative of u(q) wrt q.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, -1, -12, 5, -2 in descending order.\nAnswer: 5, 0, -1, -2, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**2 + 0*h**2 - 3*h**2)*(-69 - 51 + 18)*(4 - 4 + 1) to v + p*h**2 + o*h and give p.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5065, -5063, -5061, -5059, -5057, -5055?\nAnswer: -5053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2507 is divided by 1226?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 975 - 8790. Is l < 1396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**5\/4 + 3*v**4 + 3*v**3\/4 - 17*v**2\/2 - 6*v = 0.\nAnswer: -1, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + 16. Calculate the greatest common divisor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 = -3*h - 6, 3*h + 8 = -4*b. Suppose -2*g + 7*g = -p + 239, -p + h*g = -239. Calculate the remainder when p is divided by 114.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13211603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-16)\/(u**(-4)*u)*((u**(1\/17)\/u)\/u*u)**32)**(-30) assuming u is positive.\nAnswer: u**(21990\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i + 1. Let m be o(1). Let s = 3 + 1. Let b = 5 - s. Put 0.5, b, m in descending order.\nAnswer: b, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6935093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87 + 136. Let a = w + -31. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/60 and -42\/1610905.\nAnswer: 19330860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 19*o**2 - 41*o - 683. Suppose 3*l - 52 = 3*i + i, -5*l + 2*i = -110. Calculate the lowest common multiple of v(-19) and l.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 3)*(k - 2*k + 0*k)*(159*k**3 + 4*k**2 - 236*k**3 - 4*k**2) to c + m*k**3 + o*k**2 + p*k + z*k**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/12)\/((-6)\/(-9)). Let v(z) = -79*z. Let l be v(u). Is l\/(-3) + 2\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 716 * -2.\nAnswer: -1432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 - 10. What is the units digit of m(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369338 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -276 + 263. Let i be 2*1 - 13\/n. Solve -d - 4*x = 16, -d - i*x - 6 = 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*a - 73. Let i be (-12)\/(-8)*(-4)\/3. Find the common denominator of -67\/18 and 249\/a + 1\/i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -194, 3767, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-5)\/(-5) + (-22)\/1. Let y(u) = u**3 + 21*u**2 - 29*u + 8. List the prime factors of y(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/15*10\/(-6). Let a(c) = 2*c**2 - 11*c + 27. Does 5 divide a(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3352 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2093038, -2093026, -2093014, -2093002, -2092990, -2092978?\n\"Answer: 12*r - 2093050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 901289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 69\/12)\/((-3)\/(-72)). Suppose f*n = 35*n + 21. Let l = 13 - 18. What is the nearest to 1 in 28, l, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 23*o - 30. Let q = -7 + 9. Suppose 6 - q = y. Solve -9 = 3*u, -2*u + o = -y*f - u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 795916019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -38. Suppose m*d = -5*a + 334, 0*a - 62 = -a + d. Suppose -23*w = -28*w - a. Is w less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2815344341 to the power of 1\/3, to the nearest integer?\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + (-84)\/(-49))*-1. Which is the nearest to 1? (a) j (b) -24 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from {d: 2, r: 16}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -66 - 29. Suppose 9 = 4*i - 11, -5*i + 40 = 3*l. Solve -6 = -l*y + j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-5))\/((-2)\/(-10)). Suppose 40 = -7*p + x*p. Let n = 5 + p. Which is the smallest value? (a) -2 (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16\/7, -3, 0, -2, -22, -0.2, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (-2916)\/(-146)) + 222\/(-8103).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 12*k + 8. Let g be m(14). Let d be ((-27)\/g)\/(2\/(-8)). Suppose i - 7 = -n, d*n + 6*i = 2*i + 23. Sort -2, n, 0 in decreasing order.\nAnswer: n, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18055402 at most as big as 18055402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 77967683, 77967681, 77967679, 77967677?\n\"Answer: -2*o + 77967685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121302 (base 4) to base 13.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104220 and 2473488.\nAnswer: 37102320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 + t. Let m be o(-1). Let b be (-15)\/(-4) + m\/4. Factor 3*j - 7*j**3 - 12*j**2 - 11*j**3 - 6*j - b*j**5 - 7*j**4 - 5*j**4.\nAnswer: -3*j*(j + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 10. Let y be z(-8). What is l in -3*l**3 - y*l**3 - 3*l**3 + 4*l**4 + 4*l**5 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 1546 - 298 = -r, 3*k + 1852 = 5*r. Is (28\/(-8) - 0)*k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 850890952 to the nearest one hundred thousand.\nAnswer: 850900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -290 and -135?\nAnswer: 39150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 5*k + k)*(-k**2 + 1 - 1) + 3*k**3 - 25*k + 25*k + (0 + 0 + k**2)*(-2*k - 3*k + 3*k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 3:12 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 7:57 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(19) - -2*1*sqrt(19)).\nAnswer: -4 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4117*o**3 - 5*o**2 + 5*o + 5. Let x(y) = y**2 - y - 1. What is -m(l) - 5*x(l)?\nAnswer: -4117*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*b*o**6 + 2*b*o**4 - b*o**2 - 22*b - 2*o**2 wrt o?\nAnswer: -4440*b*o**3 + 48*b*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxvxdxxxvddd. Give prob of sequence dx.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7689*-0.06.\nAnswer: 0.106134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18277, 73093, 164461, 292387, 456877, 657937?\nAnswer: 895573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - (-51)\/(-6))*4496\/24. Let a = -1323 - s. What are the prime factors of a?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by 7653?\nAnswer: 41\/7653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0381 - 4.0381. Let k = -6 + 11. Let p = k + -2. Which is the closest to -1\/4? (a) v (b) p (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.53078 and 17.\nAnswer: -111.02326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 576806 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d. Suppose -2*j - 6 = 4*q + 4, q = -3*j + 5. Let s be 1603\/77 - j\/(66\/(-4)). Let m(y) = s*y - 19*y + 11*y. Calculate m(o(i)).\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*a**6 - 26*a**5 + 36*a**3 + 148*a**2 + 31 wrt a.\nAnswer: 840*a**3 - 1560*a**2 + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 9. Let w be p(-10). Let l be -3 - (3\/w + -1). Does l = 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*l + 20*l - 79 + 11*l + 20*l as v*l + t and give t.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72831 + -22570. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (39\/(-99)*-3)\/(10\/(-20))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 7*x - 10. Let b be g(7). Let n = b + 12. Let z(o) = 16*o**3 - o**2 + 3*o - 3. Is z(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10887620 and -0.8?\nAnswer: -8710096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.08 - 6. Which is the fourth biggest value? (a) n (b) 0 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 4.661?\nAnswer: 13.983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1276)\/(-330) - (-4)\/30. Suppose -2*w + 5*a + 113 = 0, s*w + 4*a - 151 = -a. Calculate the remainder when 86 is divided by w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3033331102 + -101?\nAnswer: 3033331001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*n + 7*n + j, 5*n - 15 = j. Suppose -3*u + 23 = 5. Calculate the remainder when (12 - (3 + n)) + 10 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (54\/(-24))\/(6\/16). Let x be 5*-2 - v\/(-3). Let r = x - 93. Round r to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 4487.\nAnswer: -26922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.105097*-0.15\nAnswer: 0.01576455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + g - 3, -64*m + 66*m = -3*g + 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 214442 (base 5) in base 6?\nAnswer: 54413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -12*m**3\/5 - 63*m**2\/5 - 63*m\/5 - 12\/5 = 0.\nAnswer: -4, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, 0, -2, -22, 18 in descending order.\nAnswer: 18, 0, -2, -22, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 993, -1\/5, 1.\nAnswer: -1\/5, 1, 993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 1:42 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**3 - 34*g**2 + 15*g - 133. Let d be n(16). What is the greatest common divisor of 52 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 772737305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5056 + 0.18?\nAnswer: -5055.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1322131 - 331?\nAnswer: -1323122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.0260862 - -1092.5237\nAnswer: 1092.5497862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 2)*(-67 - 181*k + 33 + 40) + k - k - k)*(-1 + 2 + 0).\nAnswer: -182*k + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + 2*n**3 + n**2 + (-3*n**2 + 4*n**2 - 2*n**2)*(2*n + n - 4*n + (3 + 2 - 3)*(-2 + 2 - n) + 306*n - 889*n + 420*n).\nAnswer: 168*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**3\/3 - 5*g**2\/2 + 16. Suppose h = -4*h - 5, 7 = -2*c + h. What is the lowest common multiple of o(c) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69.67177 - 0.1.\nAnswer: -69.77177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-756))\/(6\/(-16))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4899, -4927, -4997, -5127, -5335, -5639, -6057?\nAnswer: -6607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2141 - -102?\nAnswer: -203d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 11. Let c(o) = o**2 - 8*o + 4. What is c(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**2*i + 11*a**2 - 6*a*i - 4470*i wrt a.\nAnswer: 6*a*i + 22*a - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 1\/454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -2. Suppose -o*s - 5*t - 35 = s, -11 = s + 2*t. Let y(g) = 312*g**2 + 5*g + 7. Let m be y(s). Round m to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 9:07 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5418, 21714, 48878, 86910, 135810?\nAnswer: 195578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 392570.19 minutes?\nAnswer: 272.6181875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -20. Suppose 3*t - v = 1. Let f(w) = w**2 - w - 1. Let u be f(4). Solve -u + t = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 5*n - 90, 94 = -5*z + 1025*n - 1022*n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 2*z - 4. Let g be b(-4). Let a(s) = 3*s + 43. Let y be a(-14). Let m be y*(-1 + 5)\/g*28. Calculate the highest common divisor of 8 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - 1*((1*sqrt(152) - sqrt(152)) + sqrt(152))) + sqrt(152))\/sqrt(8) - 1*(5 + sqrt(19)*2).\nAnswer: -5 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 3:21 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 100*a**2*l + 5*a**2 - a - 2 wrt l?\nAnswer: 100*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0263 times -0.2\nAnswer: -0.00526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 210606739 + 210606039 - 2*p.\nAnswer: -5*p - 700","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24.22 + -25. Let t = a + 0.77999682. Round t to seven dps.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 2*n - n + 0 + 2*n + 0 + 2*n - n - 3*n + (-1 + 1 + 2)*(0*n + 0*n - 2*n))*(9 + 2 - 4 + 3 - 4 - 1 + (0 - 1 - 1)*(-2 + 4 - 1))*(114 - 39 + 99).\nAnswer: -3132*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193885?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = y - 5, 0 = -4*y - 0 - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 8*o - 1055. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 8*x**2 + 1 - 4*x**2 + 11*x**2. Let s be k(2). Let u(g) = -g**3 - 5*g**2 + 6. Calculate u(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 2*v**6\/3 + 5*v**5 - 82*v**2 + 80. What is the second derivative of q(h) wrt h?\nAnswer: 80*h**3 + 300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (22\/(-33))\/(4\/(-138)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 73, 223, 505, 961, 1633, 2563, 3793?\nAnswer: 5365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -10. Let g(t) = -c + 0 - 8*t - 5*t - t**2. Let v be g(-11). Which is greater: 2\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5618 - 1880*l - 5611 + 16844 - 5615 + 1866*l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78)*-1 + sqrt(78))*2*3)\/(5*(sqrt(6) + (sqrt(6) + (sqrt(96) - sqrt(6)))*-1)).\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzanwanznnaunubnunan. What is prob of picking 2 u, 1 z, and 1 a?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 717433?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*2\/(-6))\/((-6)\/27). Let v be 5\/(30\/9 - y - 0). Suppose -v*w + 18*w = 72. What is the common denominator of w and -34\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -370762 and -881.\nAnswer: 326641322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -47*m - 64*m - 1926. Which is the closest to -1\/3? (a) 1 (b) -4 (c) -0.1 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*h + 294 - 64*h + 58*h**4 + 24*h with respect to h.\nAnswer: 232*h**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*(-4 + (sqrt(539)*-2*-5)**2 + -3)*-4*-6.\nAnswer: 2586864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30692 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 173*b**3 - b**2 - b. Let f be m(-1). Let q = f - -271. Suppose -g = -3*g + q. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29216 + 29213. What is the third smallest value in -0.112, -4\/3, d?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1264751390 divided by 488321.\nAnswer: 2590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 265 + 66160?\nAnswer: 66455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 12:12 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -911081*s**4 + 7478*s**2 + 7 wrt s?\nAnswer: -21865944*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67*h + 129*h - 146*h)*(-h**2 - 3*h**2 + 2*h**2) - 2 + h**3 + 0*h**2 + 0*h**2.\nAnswer: -99*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 7, r: 3, u: 2, o: 6}. Give prob of picking 1 u and 1 r.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6791 and 0?\nAnswer: 6791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88 + 353\/4. Let o = 1 + 0. What is the biggest value in o, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/54 in 8\/3, -1, -1\/3, -2\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-446*(-247)\/(-78))\/(-1). Which is smaller: 1411 or f?\nAnswer: 1411","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 17*l**2 + 236*l + 49. Let x be j(-26). Let d(r) = r + 1. Let h(c) = c**2 - 2*c - 1. Calculate x*d(t) - 2*h(t).\nAnswer: -2*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12936, -1\/5, -2\/111, 0.3.\nAnswer: -1\/5, -2\/111, 0.12936, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-39)\/(2184\/(-800)) + -14. Which is the closest to 19? (a) -2\/5 (b) 1\/2 (c) s (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2*d**3 + d)*(0*d - 2*d + d)*(0 - 4 + 1) + (2*d**2 + 0*d**2 - d**2)*(-12*d + 12*d - 5*d**2) + 2*d**4 + 0*d**4 - d**4.\nAnswer: -10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from aapapammammama?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*a = 145, 67 = 5*b - a - 74. What are the prime factors of (b\/(-8))\/(-3*(-2)\/(-132))?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from erebdsee.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (162 + (-16 - -4))*2\/4.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281088851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 16 = 2*o. Let y = 0.2 - -2.8. Let k = y + -3.1. Which is the closest to 1\/4? (a) 1\/8 (b) o (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63178 and 14818.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1544 in 2, 1\/26, 0.9, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226624 is divided by 642?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 - 61*w**2\/4 + 1235*w\/4 - 8303\/4.\nAnswer: (w - 23)*(w - 19)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-11))\/a**8)**12)**(4\/3) assuming a is positive.\nAnswer: a**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**2. Let u(g) = 959766*g**2. Give m(u(q)).\nAnswer: 4605753873780*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -515 divided by -5\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -24*y**2. Let b be a(-1). Let u = -8 - b. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 30, 316 in descending order.\nAnswer: 316, 30, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 3*b - 2*b**2 + 2*b**3 + 4*b**2 to c + q*b**2 + r*b**3 + t*b and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -412.56533 + -0.1.\nAnswer: -412.66533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 13*q**2 + 2*q + 164. Determine i(13).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5248.741ms?\nAnswer: 5248741000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/39)*a*a\/a**(-7) assuming a is positive.\nAnswer: a**(349\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 18*a - 1. Determine t(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 2*b + p + 8006, -4800 = -3*b - 3*p. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10059251.748 rounded to the nearest one hundred?\nAnswer: -10059300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 1\/5 (c) 15 (d) -6 (e) -14.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, y: 7}. What is prob of sequence fy?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -254 + 258. Let q(p) be the third derivative of 4*p**2 - 2\/15*p**3 + 4\/75*p**5 + 0 + 1\/60*p**6 + 1\/60*p**v + 0*p. Find y such that q(y) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82318 or 0?\nAnswer: -82318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2362 - -2878. Calculate the remainder when a is divided by 105.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 4*v + 103 = -6*l, 28*l + 23874 = -3*v + 23771 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/64863 and -91\/43242.\nAnswer: 129726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 8*f**2 + 262*f + 123. Calculate t(-32).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**4\/12 + o**2\/2 - 2*o + 8. Let r(f) be the first derivative of l(f). Calculate the least common multiple of 7 and r(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73*w**3 + 35*w**2 + 45061.\nAnswer: -219*w**2 + 70*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6*s + 9. Let f(n) = -34*n - 3. What is f(k(c))?\nAnswer: -204*c - 309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t. Let d(f) = 93*f. Determine 2*d(h) - 22*q(h).\nAnswer: 208*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 0 + 0)*(-j**2 + 2*j - 2*j) - j**4 + j**3 - j**3 - 4*j**2.\nAnswer: j**4 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*36 - (-1442 - -1428).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-856)\/(-20))\/((-4)\/20). Let m = 494 + z. Is m a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 3*s - 16, 3*s + 12 = -4*h + 5*s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10016513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 34*x - 1. Let a be h(-1). Let g = 49 + a. Calculate the highest common factor of g and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38838 = 24*g - 257730. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4639186493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 289763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2501 and 7786589?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -305*d + 335*d + 120 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 18. What is the fourth smallest value in 5, h, -10, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7.6 (b) -3 (c) -282 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 42 (b) 3\/8 (c) -1\/5 (d) -0.4 (e) 1\/3 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18412 + 18182 = -5*t. Solve 56*u + 80 = t*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 10. Let v be k(10). Solve v = -3*m - 3*y - 15, 3*m - 9 = 4*m + 3*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-7)*(-105)\/60*4. Solve -20 = 3*a + y*s + 5, 2*a - 25 = 5*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -23, -15, 0.18 in increasing order.\nAnswer: -23, -15, -4\/9, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17420417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 123 + -38. Let r = y - 85.065. Let t = 3.935 - r. Which is the second biggest value? (a) 3 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 238*i**2*k*l*x + 5492*i**2*k*l - 14932*i**2*k*x**2 + 11442*k*l*x**2 - 3*k*l*x + 9*k*l wrt x?\nAnswer: -29864*i**2*k + 22884*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 634214 and 242284?\nAnswer: 21563276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88596045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1317.\nAnswer: 2\/1317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/112 and -29\/20.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 4, 27, 64, 115?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(2\/(-1) + -247). Let x be (-64)\/(-112) - 3327\/1743. Let q = y - x. Is q smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = -2*r - 4*j, -2*r + j + 2 = 0. Let k be (-3 - -2)\/(0 - r). Let g be k\/(-10) - 10\/25. Which is the closest to -2\/5? (a) g (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(2\/4*-3). Suppose 0 = y*m - 11 - 17. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 23. Let q be r(5). Which is smaller: q or 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 182\/3 + -59. Calculate the common denominator of -9 + 7 - (-12)\/14 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/9*d**3 - 2\/9*d**4 + 0*d + 4\/9*d**2 + 0 = 0. Calculate d.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -58*u + 8. Let k(x) = -338*x. Determine t(k(z)).\nAnswer: 19604*z + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y - 8. Let a(m) = 4*m + 22. Let h(n) = -3*n - 21. Let j(z) = 5*a(z) + 6*h(z). Let r be j(11). Calculate t(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -127167 and -127163 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 9 - 5 - 2*f)*(-177 + 213 - 202) + 7*f + f - 3*f.\nAnswer: 337*f - 664","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppxx when four letters picked without replacement from {x: 5, p: 7}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 17*g - 8. Let d(z) = -21*z + 9. Let x(i) = i**3 - 17*i**2 - 39*i + 15. Let k be x(19). Let u(c) = k*d(c) - 5*l(c). Calculate u(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92399 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -90479 + 0.6?\nAnswer: -90478.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**4\/4 - 4*m**3 - 5*m**2 + 4*m + 5. What are the prime factors of q(13)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (-6 - (-12 + 9) - 9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65951546 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -33*i**4\/8 + 4*i**3\/3 - 9*i**2. Let m be c(-5). Suppose -3*n + 130 + m = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5212425 divided by -5.\nAnswer: -1042485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154983 and 66.\nAnswer: 3409626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 32*s**2 - 2*s + 6. Let q be n(-6). Suppose q = 5*a - z, 5*z - 408 = -3*a + 322. List the prime factors of a.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*t + 7. What is the remainder when t is divided by 3*3\/(-9)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23209.20446 rounded to the nearest 10?\nAnswer: -23210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 234385 to the power of 1\/2, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3500\/3 + -48709\/42. Let q = -3653\/1164 + -27\/97. Find the common denominator of q and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + q + 1. Give m(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Let m be 1\/2*-2*30. Let p be ((-4)\/m)\/((-1)\/6). What is the second smallest value in -3, s, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 + -21552515?\nAnswer: -21552425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -80*v**4*w - v**3 + 528*w wrt v?\nAnswer: -320*v**3*w - 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1269664 and 30176.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -550*b + 194*b**3 - 196*b**3 - 552*b + 2087*b - 550*b - 435*b.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) 4 (c) 1\/73 (d) 5 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + -4. Let t(p) = p**2 + p + 10. What is the tens digit of t(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -z + v, 6*v - 45 = -z + 2*v. Let o = 65 - z. What is the remainder when o is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 32*u**2 - 2*u - 11. Let j be a(6). Suppose -3*g - j = 5*l, -4*g + l - 1514 = -l. Let x = g - -4112\/11. What is the common denominator of 23\/5 and x?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 6:42 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 141 + (-144 - -21) - -94.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 - 2*h**3 + h**3)*(-56 + 11 - 49 + 19).\nAnswer: 75*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2002)\/(-28))\/11*((-162400)\/(-377))\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -644, -1549, -4024, -8861, -16852, -28789?\n\"Answer: -132*b**3 + 7*b**2 - 2*b - 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (234\/(9\/(-1)))\/(38\/(-76)*(-1)\/1)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5 + 2*b**4 + 10*b**3 - 8*b**2 - 33*b - 18 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 7:01 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 721565.4 weeks to seconds.\nAnswer: 436402753920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200.09934us to hours.\nAnswer: 0.00000005558315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 906 - 744. Calculate the greatest common factor of t and 243.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.92623875 rounded to two dps?\nAnswer: -49.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*l + 1 = 0. Suppose 0 = -2*v + 3*m + 21, v - 3*m + l = 10. Suppose 5*y = z + 15, -2*z - 2*y + v = 2*y. Solve z*f = 4*f - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12575 + 4665333\/371. Find the common denominator of k and -51\/35.\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l - 16*l - 11 = x, -6*l + 2 = -4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 19.29. Let g = c + 0.29056. Round g to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**4\/3 - 12*q. Let u(t) = -3*t**2. Calculate u(f(r)).\nAnswer: -48*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**6\/120 - c**5\/15 - c**4\/8 - c**3\/3 - c**2 + 2. Let o(w) be the second derivative of d(w). List the prime factors of o(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - (-5 + -3 + 9). Solve r - w = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -14*m - 23. Determine p(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + 2 + -3 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*s - 1995 = 865 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**4\/4 + 2*f**3\/3 - 11*f**2\/2 + 595. Let m(g) = -2*g**3 - 5*g**2 + 22*g. Give 5*b(q) + 2*m(q).\nAnswer: q**3 - 11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 3160*c - 1514318. Calculate a(-589).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2842 a factor of 228553640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Let m = -1.5 + i. Let q = 1\/2197 - 2205\/17576. What is the nearest to 1 in -4, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 228*84\/278103 - (-2)\/41.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1394796 is divided by 348699?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-three fifths of a kilometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 415298 by -26.\nAnswer: -15973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -251, -507, -767, -1031, -1299, -1571, -1847?\n\"Answer: -2*s**2 - 250*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 0 - ((-13 - 0) + 28).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 75\/4 or 64959?\nAnswer: 64959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l - l. Suppose n + j + 3*j + 5 = l, 8 = -2*j. Suppose m = 3*s + 5*m - 33, 0 = s - 3*m - n. Calculate the lowest common multiple of 8 and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -316 - -315.9. Which is the second smallest value? (a) 1 (b) -2\/15 (c) 27 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 13*c - 26. Let t be d(-15). Let w(r) be the first derivative of 1 + 8*r + 2\/3*r**3 - t*r**2. Solve w(k) = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129628489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*h + 4*v - 0*v, 0 = 2*h - v + 1. Suppose 2*z = 5*c - 50, -h*c + 2*z = 5*z - 20. Let l = c + -10. Which is smaller: l or 2\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -1\/4, -4, -72, -0.2 in decreasing order.\nAnswer: -0.2, -1\/4, -2\/7, -4, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -999 - -998.5. What is the nearest to 27\/5 in 0.2, l, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, t: 1}. Give prob of sequence tb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-21)*f)\/f*f*f**(-2\/37) assuming f is positive.\nAnswer: f**(886\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -529477 divided by -529477?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -649 <= -649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/2*4\/(-12). Do w and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 o, and 1 e when three letters picked without replacement from ookhoxeooxoxxhpoe?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r - 21. Calculate the remainder when c(18) is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*g = -2344, 7*g = 4*i + 3*g - 2380. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13037\/53 - 246. Put -4, i, -5 in ascending order.\nAnswer: -5, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4884 divided by 74\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -16562*x**4 - 1411774*x**3 - 40138340*x**2 - 394097256*x - 355354128 = 0. Calculate x.\nAnswer: -34, -2286\/91, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**5\/19 + 14*i**4\/19 - 2*i**3 + 50*i**2\/19 - 32*i\/19 + 8\/19.\nAnswer: -2*(i - 2)**2*(i - 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100110110011111 - 11?\nAnswer: 11100110110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1010700.\nAnswer: 2, 3, 5, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18379 + 17869. Is -1 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 19\/4 of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b = 0. Let q(x) = 39*x - 335. Let w(u) = -48*u + 335. Let i(z) = -5*q(z) - 4*w(z). Is i(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + c**2)*(10810 + 12*c - 10810).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-1*sqrt(152) + sqrt(152))\/(sqrt(64)\/(sqrt(72)\/sqrt(9))))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 k when four letters picked without replacement from {q: 1, x: 8, f: 6, g: 2, k: 1}?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7 + 7 + 2*g. Let j(c) = -4*c**2 + 7. Let p(w) = -5 + 0 + w**2 + 3. Let h(n) = -2*j(n) - 7*p(n). Give v(h(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2267744.1 months?\nAnswer: 188.978675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -3 = -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 11:42 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*331.04.\nAnswer: 7613.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 74. Let b = y - -54. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 6 - 6 - 4. What is the second smallest value in -25, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68907 and 363.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63401 at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 570467357 to the nearest integer?\nAnswer: 23884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 1705. Let v(r) = -63*r. Calculate s(v(b)).\nAnswer: -3969*b**2 - 1705","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 312*-1*(-2)\/6 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 1:15 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**1*t)\/t*t*t\/(t*t**(-3\/8)*t*t)*t*t*t)**(-17)*(t*t**1*t*t)**(13\/2)\/((t\/(t*t**(-1\/2)\/t))\/t)**(30\/13) assuming t is positive.\nAnswer: t**(-1615\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 10533*x - 3556. Is l(30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2244058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 11*c - 82. Calculate s(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7431 - 26*l + 39*l - 14948 + 7517.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 3*t - 4*s, 4*t - 13*s = -11*s + 84. Calculate the highest common divisor of t and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/69)*j)\/((j*j**(-1\/2))\/j)*(j**(-2\/11)*j)**(-21))**(-5) assuming j is positive.\nAnswer: j**(118805\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 15*l + 27. Let v be f(16). Suppose 4*g = -16 - 16. Let w = g + v. What is the highest common divisor of w and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-279)\/18)\/((-1)\/6) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(140)*-1)\/sqrt(7))\/(sqrt(250) - 4*sqrt(250)*1).\nAnswer: -sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 18\/5 of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + g**2 - 343*g + 20. Determine t(-18).\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c**3 - 1174423852*c**2 + 2642453740*c - 587211944 = 0. What is c?\nAnswer: -73401493, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*l**4 + 102*l + 103*l + 19*l**2 - 205*l wrt l?\nAnswer: 600*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2309 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12040)\/(-66220))\/(-9*3\/(-11)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11\/42 - 227\/336. What is the common denominator of -73\/20 and j?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20360049 to the power of 1\/2, to the nearest integer?\nAnswer: 4512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.420653935 to four decimal places.\nAnswer: 0.4207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, s: 5, t: 4}. Give prob of sequence jjtj.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 332915?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1151*d**2 - 2*d**3 - 1152*d**2 + 3 + 2310*d**2 - 6*d. Give z(4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27292927199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - s = 3, -4*t = -3*s - 7 - 0. Let d be -1 - (0 - t) - -2. Calculate the remainder when 4\/(4 + (-3 - d)) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o - 6*o - 2 + 3 + 7*o. Let z be c(-4). Let v(l) = 7*l + 3. Let f(g) = -4*g - 2. Let n(p) = z*f(p) + 3*v(p). Determine n(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**5 + 15317*f**4 + 58660279*f**3 + 58629647*f**2 - 58660280*f - 58644964 = 0.\nAnswer: -7658, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 5*x - 154, u - 57 = 3*x + 1. Calculate the greatest common factor of 602 and u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13464, -26909, -40354?\nAnswer: -53799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 29945700 divided by -5989140\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.5 (b) 0.45 (c) -3\/7 (d) -215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1348328 = -u - u, -3 = -3*u. Suppose h = k + 75765. Suppose 541600 + k = 3*r. Round r to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 91. Let u(i) = -90*i - 5. Let p(k) = -215*k - 12. Let l(v) = -5*p(v) + 12*u(v). Determine l(y(f)).\nAnswer: 5*f - 455","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 10. Suppose -4*l = -1 - a. Suppose 2*d = 2, l*d - 4*d + 14 = 2*q. What is the smallest common multiple of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -148263, -294728, -441193, -587658, -734123, -880588?\n\"Answer: -146465*t - 1798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 11*x**3 - 11*x**3 + 22*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q**3*y**3 + 7*q**3*y**2 + 71*q**2*y**6 + q**2*y**2 + 2*q**2 wrt y.\nAnswer: 18*q**3 + 8520*q**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 20581 = 2*v - 1326. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -97172, -194336, -291498, -388658?\n\"Answer: y**2 - 97167*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 39?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3\/4*x + 3\/4*x**3 + 9\/4 - 9\/4*x**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15\/152 + -1\/38. Let k = s + -1\/8. Let l = 61 + -61.2. What is the smallest value in l, k, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.19 + -0.22. Let v = -0.04 + b. Let s = -0.07 - v. Which is smaller: -5 or s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8491985, 8492028, 8492069, 8492108, 8492145, 8492180, 8492213?\n\"Answer: -k**2 + 46*k + 8491940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 6*g - g + 1, 5*g + 3*l = 14. Let m be (-1784)\/(-890)*g + -2. Let q = -1794\/3115 + m. Sort q, 2, -3.\nAnswer: -3, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.364251272 to five dps.\nAnswer: -0.36425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 138674657003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217090?\nAnswer: 2, 5, 17, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100011101 + -2?\nAnswer: -1100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(78) + sqrt(78)*2))\/sqrt(6).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132 - 132 + 5340*p**3.\nAnswer: 5340*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkkassdksdd. What is prob of picking 1 g, 1 a, and 1 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381 - 1591 - 548 = 90*x for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**4 - 573*q**3 - 2370*q**2 + 121056*q = 0. What is q?\nAnswer: -16, 0, 13, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z - 12. Let s be q(8). Let v be ((-10)\/(-2))\/(4\/s). What is the second derivative of w**2 - 35 + 2*w + v wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0494, -0.2, 1\/3 in ascending order.\nAnswer: -0.2, -0.0494, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, -0.04, -0.5, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13065459, -52261981, -117589517, -209048067, -326637631, -470358209, -640209801?\nAnswer: -836192407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**5\/13 - 1192*n**4\/13 - 1020*n**3\/13 + 100600*n**2\/13 - 327250*n\/13 = 0.\nAnswer: -595, -11, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a gram in milligrams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 300699 to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36123608.4188668 - 4.4188668. Let p = b + -36123557.999977. Let h = 46 - p. What is h rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3497660 divided by 3908\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -893*j + 1. Let r be x(1). Is (-4)\/(-12) + r\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0229 + 2.5929. Let q = -4.12 + z. Do q and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 7) + (-3 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9767 + 9767.1. Which is the closest to 0? (a) -0.5 (b) 3 (c) 25.8 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211376904 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000018521 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10244132 + -1242?\nAnswer: -10300424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 172 = -992. Suppose 2*w - a = -3*w - 4*g, -12 = 4*g. Let n = w - 60. What is the remainder when 59 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -67828\/3 > 2709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3049724.4 rounded to the nearest 100000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0 = -4*u + 1, 3*u = -3*c + 3. Let q be 3 + (c\/(-1) - (0 - 1)). Solve -4*r - q*v + 11 = 0, 5*r - 3*v + 4*v - 11 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19959364, 39918730, 59878096?\nAnswer: 79837462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5366 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2916 to the nearest one hundred.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 0*o**2 + 0*o**3 + 1\/3*o**4 + 0 - o. Let n(r) = 18*r**2 + 4*r**2 - 25*r**2 + 6*r**2. What is b(n(t))?\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99709 is divided by 164?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 8. Suppose -25 = 5*q - r, -2*q + h*q = -2*r - 15. Let c(l) be the third derivative of -l**4\/24 - l**3\/3 + 1445*l**2 + 2. Determine c(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-476)*-8 - (-5)\/(10880\/324)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295031 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 2300\/10 + 6. Calculate the greatest common factor of t and 1071.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**5\/60 + v**4\/3 + 11*v**3\/6 - 4*v**2 + 4. Let z(i) be the second derivative of g(i). Is z(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 1, x: 1}. What is prob of sequence dx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from wybmymmxdyybyxmwm.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**3 + 47*r**2 - 95*r - 1217. Calculate the remainder when 912 is divided by q(-16).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*q + 20 = -s - 221*q, -2*s + 2*q + 2 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**10*b*b**(-1\/8)*(b**(-2\/53)*b*b)\/(((b*b**(-26)*b)\/b)\/b) assuming b is positive.\nAnswer: b**(16467\/424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 7, y: 9}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6128445272 to the power of 1\/3, to the nearest integer?\nAnswer: 1830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1303 and -56889234492.\nAnswer: -56889235795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5152732*d**3 + 128*d + 14180 wrt d.\nAnswer: -30916392*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**4 + 84*w**3 - 680*w**2 wrt w.\nAnswer: -24*w + 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*v + 5*m - 90, 0 = 3*v + m - 73. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -24, -60, -100, -138?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0031744402 to four decimal places.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 0 - (-4 - (-8 + 6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q**4 - 2222*q**3 + 35068*q**2 - 24502*q - 8352 = 0. What is q?\nAnswer: -1\/4, 1, 16, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2443?\nAnswer: 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*a**4 + 35596*a**2 + 5408054*a.\nAnswer: 96*a**2 + 71192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1559 + -16.2001. Round y to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2 - 749*j - 3716. What is u(-5)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -279156*s + 239718.\nAnswer: -279156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 108\/81*1038\/8. Is g at most 173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l*l*l**(-8)*l*l)\/l*l)\/l)\/l**(-10))\/((l\/(l\/(l\/(((l**(-10)\/l*l*l)\/l)\/l))))\/(l**13\/l)))**32 assuming l is positive.\nAnswer: l**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20475 + 78102. What are the prime factors of g?\nAnswer: 3, 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 267 and 4\/6*(-42)\/28 - -7.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o + 87 = 73 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 24*g**3 - g**2 - g - 3. Calculate o(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a - 7. Let s(h) = -h + 2. Let t(c) = 2*g(c) + 9*s(c). Let r(i) = 3*i - 9. Let y(o) = -6*r(o) - 14*t(o). What is y(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1976 = 3*a, -2*a - a = -2*r - 1982. Round a to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200 + -12320?\nAnswer: -13120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 2.6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 770 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -6*z + 32. Let o be z\/(-120)*4 + 0\/(-1). What is the closest to 9 in -2, o, 1, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20042 + 30?\nAnswer: 20102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 35*i**2 + 1\/24*i**4 + 0 - 1\/120*i**6 + 7\/6*i**3 + 7\/60*i**5 + 0*i. Does 16 divide y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w = -103 + 13 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 3*a**2 - 1\/3*a**3 - 2 + 7*a. Let k be h(7). Solve k = -j - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -257245 divided by 5\nAnswer: -51449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5087070 to the nearest integer?\nAnswer: 2255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -191 + 176. Let n be (-5)\/20 + o\/20. Is n less than or equal to 1\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111461 + u**2 - 111461.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1160 divided by -232\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 2*l - 26 = -4, 0 = -5*n - 3*l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 = 3*l. Let g be 10\/(-15)*9\/l. Let k(y) = y**2 + 3. What are the prime factors of k(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -6. Let b be 16\/(z - 1 - -1). What is the greatest common factor of b and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 37\/2 of a gram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 215 and 19436?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 + -544?\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3503*r**2 + 1566*r**2 + 152*r**2 + 529*r**2.\nAnswer: -1256*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*(4 + (2 + sqrt(605)*-2)*3*1 + -4 + 3))**2.\nAnswer: -42768*sqrt(5) + 786996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 145 - 145.37. Let i = -3.37 - b. What is the second biggest value in i, 16, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3) - (-8)\/21. Let u = -19 + 18. Which is the closest to u? (a) -2\/11 (b) i (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038210976993 less than -0.126?\nAnswer: -1038210976993.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2975, -2114, -715, 1216, 3673, 6650, 10141, 14140?\n\"Answer: -f**3 + 275*f**2 + 43*f - 3292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2895, 8419, 17617, 30483, 47011, 67195, 91029?\n\"Answer: -p**3 + 1843*p**2 + 2*p + 1051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*w**2 + 3*w**2 - w**2)*(-1424 + 363 - 871 - 827 - 1049 - 326) as h*w**2 + a*w + v and give h.\nAnswer: 12402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 3*d = 21, -2*m - 10 - 8 = -4*d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 39744.089 - -0.2\nAnswer: 39744.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - 0.6. Let g = 1\/16 + -45\/208. Let s = -1 + -2. What is the nearest to d in s, g, 3\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15220.196 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*b - 22 - 139 = 0, -2*y + 5*b = -76. Calculate the smallest common multiple of 62 and y\/66*(3 + -1 + 2).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9.8 and 3506182.66.\nAnswer: 3506192.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-308)\/385)\/((-60)\/(-8250)).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z + 27. Let o be y(-31). What is the common denominator of 167\/60 and 5\/66*(-7)\/o?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 14 = -1. Suppose 4*s - 8 = 3*p, 2*s - 10 = b*p - 3*s. Solve p*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 31 - 31 = -2*o, -4*i + 12 = 0. Let r be 0 + 5 + (6 - (-5 + -10 + 23)). Solve -3*n - 5*d + o = 0, 0 = d - r*d + 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 62622*a + 268. Let v be u(6). What is v rounded to the nearest ten thousand?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 46, 72, 98, 124, 150?\n\"Answer: 26*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s + 30. Let g be r(16). Let v = 35 + -34.6. Let q be (1 - 2) + 1\/2. Put g, v, q in ascending order.\nAnswer: g, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -8*j**3\/3 + j**2\/2 + j + 58. Give a(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - l + 57, -21 = -3*f - 4*l + 45. Suppose 4*c - f - 70 = 0. Let r = c - -6. Calculate the greatest common factor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 1300.\nAnswer: 1299.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) 1.4 (c) -3 (d) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1559134266 to the power of 1\/3, to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lwulwlullwlllluulwo.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2)*(-32)\/96\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1365, 2727, 4089, 5451, 6813, 8175?\nAnswer: 9537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3717365723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 0*t + 0*t**2 - 34 + 5\/3*t**3. Let l(a) = -2*a. Give j(l(c)).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 398.8*-4.8\nAnswer: -1914.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k**(-15)*k)\/k*k**(2\/15))\/(k**(-9)*k)**(1\/5) assuming k is positive.\nAnswer: k**(-184\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1723246 divided by 119\nAnswer: 246178\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 1:03 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 12. Suppose -m = -4*a - a. What is the remainder when 11 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 63*d**2 - 103*d - 5193. Let k be v(-66). Calculate the highest common factor of k and 219.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/((w\/(w\/(w**(-7)\/w)))\/w))\/w*w*w*((w\/((w*w**(-3)\/w)\/w))\/w*w)\/w*w\/w**(2\/13)*w\/(w*(w\/(w*(w**(2\/7)*w)\/w))\/w))**(-9) assuming w is positive.\nAnswer: w**(-14850\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 e, and 2 t when four letters picked without replacement from dtebdthdtdxd?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 0*j**4 - 1\/120*j**6 - 1\/3*j**3 + 2*j**2 + 0*j + 0 + 0*j**5. What is the derivative of l(d) wrt d?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2882 (base 11) to base 16.\nAnswer: e88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0049 * -1.3.\nAnswer: 0.00637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a**2 - 136*a + 116. Let p be s(25). Calculate the highest common divisor of 88 and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271232?\nAnswer: 2, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5738281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12, -5, -13, -12, 22, -4 in increasing order.\nAnswer: -13, -12, -5, -4, -2, 12, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 5:49 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j - 35 = -13*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.038 and -88.84?\nAnswer: 181.05592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 397 - -728. Suppose 0 = 4*l - 0*l - 5*b - m, -800 = -3*l - 5*b. Let w = -35 + l. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -5. Let z(a) = -a + 13. Let x be z(8). Which is greater: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 9. Let k(f) = -f**2 - 7*f + 5. Let g be k(i). Let -2*b + 5*b + 6*b**2 - 6*b**4 + 10*b**3 - g*b - 8*b**5 = 0. What is b?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t - 40 = -21*t. Solve -t*r + 3*r - 4 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/70)\/((-72)\/(-40))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.364 and 0.1.\nAnswer: -0.0364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -132962?\nAnswer: -132964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72191891 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -45\/2*y**2 + 52 + 31\/4*y**4 + 0*y + 0*y**3. What is the second derivative of h(n) wrt n?\nAnswer: 186*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00019075 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 12:14 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1278, -1210, -1142, -1074, -1006, -938?\n\"Answer: 68*s - 1346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4\/2 + 389*v**3 - 150541*v**2\/2 - 151710*v - 76050 = 0 for v.\nAnswer: -1, 390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a microsecond in nanoseconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, p: 2}. Give prob of picking 3 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - n = -1 + 2, -4*j + 4*n - 32 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**4 + 76*y**3\/3 - 180*y**2 + 288*y + 1218. Find c such that d(c) = 0.\nAnswer: 1, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 563970*i**3 + 17*i**5 + 4*i - 2 - 563970*i**3 - 4*i**5 + 0*i**5 + 3*i**5 + (i**2 - i**2 - 2*i**4)*(i + 3*i - 6*i).\nAnswer: 20*i**5 + 4*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8*p**2 + 1054*p - 4347. What is g(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) - -4*sqrt(28)*-6 - (-1*sqrt(84))\/sqrt(3).\nAnswer: -44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 59 in ascending order.\nAnswer: -5, 1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93)\/45 + 95\/57.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -160932 or -160939?\nAnswer: -160932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 - 3*b**2 + b**2 - 123 - 24 to the form q*b**2 + l + o*b**3 + c*b and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -380*m - 26224. Determine t(-69).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((0 + sqrt(19))*-4)**2.\nAnswer: -912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259501.\nAnswer: 11, 31, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.2046181769 - -0.0046189169. Let z = 3.2 + 1. Let f = z + n. What is f rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k - 621710 + 621710.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97\/35, -3, -4\/3.\nAnswer: -3, -4\/3, 97\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 972, 1941, 2910, 3879, 4848, 5817?\n\"Answer: 969*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3200\/9 - 2\/9*p**3 + 158\/9*p**2 - 3040\/9*p.\nAnswer: -2*(p - 40)**2*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 0 - 155320\/(-6354)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/2238 and 9\/3730?\nAnswer: 11190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 4*u + 6*u)*(-11 + 38 + 175 + (3 - 2 + 0)*(3 - 2 - 2)) as b*u + q and give b.\nAnswer: 804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 88963.79 days in milliseconds?\nAnswer: 7686471456000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -27. Let t be 3 - -1 - (4 - u). Let -2*d**2 + 4*d**t + 4*d**2 - 2*d**2 = 0. What is d?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/3 + 511*u**2\/3 + 31004*u\/3 + 141372.\nAnswer: -(u - 567)*(u + 22)*(u + 34)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -9*f**2 + 58*f + 3. Let y be i(6). Suppose -y + 92 = 13*m. Suppose 0 = -2*q + 2 + 2. Solve -m = -l - q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1014 = -217*p - 3 + 508 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 15 = -7*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3362182 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*t + 10 - 3, 4*t - 15 = -3*o. Suppose 2*b + 39 = t*b. Suppose 4*x - 26 = 3*w + b, x - 16 = w. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1288 or -1378?\nAnswer: -1378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**4 + 6*o**3 - 9*o**2 + 6*o. Let p(g) = g**4 - g**3 + g**2. Let b = -19 - -13. Let z(v) = b*p(v) + r(v). Suppose z(i) = 0. What is i?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/5550 and 73\/622400.\nAnswer: 69086400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 81670 divided by 1\nAnswer: 81670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 69. Let n = 35.9 - 35.5. What is the biggest value in 0.2, w, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 28*m - 1202. Let u be s(43). Let z(b) be the first derivative of -1\/3*b**3 + u + 3*b + b**2. Calculate z(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.302361784 to two dps.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**6\/2 + 2*f**3\/3 + 6. What is the third derivative of i(p) wrt p?\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 - -2.3. Let x = 0.104 + -0.004. Let q be ((-558)\/(-42))\/3 + 3\/(-7). Which is the fourth biggest value? (a) q (b) x (c) -1 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**9\/y**(-2\/7)*y**(-5)*y**(3\/13)\/y assuming y is positive.\nAnswer: y**(320\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 4158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 702031693?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-52))\/((-7)\/(-2))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 21*t**2 + 16*t + 5. Is 11 a factor of a(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*p - 5*c + 20, -16*p = -14*p - c + 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 413\/556 + 1\/139. Suppose -2*y = 2*y - 4. Is u greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 427*p**4 - 434*p**4 - p)*(-3*p - p + 2*p).\nAnswer: 14*p**5 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -10 - 2. Let o(r) = r**2 + 5*r + 2. Let u be o(-5). Suppose 3*s + 1 = 7. Solve -u*z - v = -s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16524.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124*h**3*k**5 - 2*h**3 + 18*h**2*k + 10*h*k**5 + h*k - 1 wrt k.\nAnswer: -2480*h**3*k**3 + 200*h*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 18*y + 17. Calculate o(-18).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**2\/4 + 595*g + 70805 = 0.\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - k - 2. Let h(x) = -x**2 + 4*x + 13. Let q(i) = 6*i - 2. Let b be q(1). Let g(t) = b*f(t) + h(t). Factor g(w).\nAnswer: -5*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h - 243 - 1422. Is -182 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -2333*r**6\/6 + 2414*r**3\/3 + 1434. Find the third derivative of q(a) wrt a.\nAnswer: -139980*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/((-10)\/5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -604 + 887. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/14*(-24)\/80)\/((-6)\/14)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z**(-16)*z*z)\/z)**50 assuming z is positive.\nAnswer: z**(-650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 847 + -846. Let p = 2 + -6. Find the common denominator of (-182)\/(-4) + p\/k and -62\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = 2*n - 3*d - 230, -n + 115 = d. Suppose 0*i + 46 = 2*i. What is the greatest common factor of i and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 23*t + 81. Let h(u) = -12*u - 43. Let i(o) = 11*h(o) + 6*q(o). What is i(-6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from gqq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 312*v**2 + 1012*v + 3240.\nAnswer: -4*(v - 5)*(v + 2)*(v + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*f*p**3 - f*p**2 - f*p - 92004*f + 12754579*p**3 wrt f?\nAnswer: 6*p**3 - p**2 - p - 92004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -27 + 47 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 0.2 (c) -7 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, z: 10}. Give prob of picking 1 y and 3 z.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17513 + -5?\nAnswer: 1750c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.027, 89, 2?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 302, 300, 298, 296, 294?\n\"Answer: -2*b + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 1. Let u(n) = 3*n + 2. Let h be 110\/77 - 4\/(-7). Determine h*u(l) - 5*x(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -18*x. Let j(b) = 6*b - 2 + 6 - b - 2*b**2 + 1. Let w(l) = -l - 1. Let k(h) = j(h) + 5*w(h). What is k(u(a))?\nAnswer: -648*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 846\/(-21) - (-44)\/154. Let x be 32\/z*35\/(-2). Calculate the greatest common divisor of x and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -16. Suppose 2*y = 44 + 4. Calculate the highest common factor of f and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 5*j - 114. Let y be b(14). Solve -20 = -h - 2*i - y, -i = 5*h - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 4, -3*s - v - 2*v = 12. What is the units digit of 3*(-1)\/s + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 8:09 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i + 3. Give u(11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 + -0.5. Let q = 2 - u. Which is the third biggest value? (a) 4 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32\/463 - -33833\/13890. Let x = -2\/123577 + 11245627\/7414620. Calculate the common denominator of x and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-108)\/(-72))\/((2 + 0)\/(-36)). Let o be (r\/(-2370))\/((54\/30)\/3). Which is greater: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18772 and 1246172?\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, m: 2, s: 4}. Give prob of picking 2 j and 1 s.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004950637 to 6 decimal places.\nAnswer: -0.004951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, -1, 3, -3, 5, -64 in ascending order.\nAnswer: -64, -3, -1, 0, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7443339, 7443268, 7443149, 7442982?\n\"Answer: -24*p**2 + p + 7443362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = k + 64. Let q = 29 - 18. Let o = k - q. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + (70 - 64))*(-2)\/110 - (-6)\/(-11)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -103*h**2 + 53*h + 29. Let z(o) = -25*o**2 + 13*o + 7. Let x(f) = 6*i(f) - 25*z(f). Let p(n) = -3*n**2 + 3*n + 1. What is 9*p(t) + 4*x(t)?\nAnswer: t**2 - t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g - 8. Let j(z) be the second derivative of -z**3 + 7*z**2\/2 + 4*z. Suppose -m - 4*m = -5. Let s be (10\/6)\/(m\/(-3)). Give s*a(l) - 6*j(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*j + 528*j + 306*j = 6320. Let l(d) = -d**2 + 14*d - 25. Give l(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/15 of a day?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 p when three letters picked without replacement from {p: 9, e: 8, t: 1, z: 1}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 7:46 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -r - i - 8, -5*r + 2*i = 215. Is 5 a factor of (-47 + 0)*(r - -35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 20*o + 30. What is the remainder when c(-24) is divided by 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - c - 229. Let a be v(16). Solve -36*r - 25 = -a*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-8) + 20*(-54)\/288.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 13234 = -7*b + t, -2*t + 13237 = 5*b. What are the prime factors of b?\nAnswer: 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2*w = -194, 67168*w - 67165*w - 147 = -3*i for i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1166657 and 38163.\nAnswer: 1204820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -124 and 6.5.\nAnswer: -806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 7*t + 4*t - 20 - 7 to the form m + s*t and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1775*i - 12. Let s be z(3). Suppose -7*d + 17920 = s. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -305, -3, -2, -5.52, -1\/4 in increasing order.\nAnswer: -305, -5.52, -3, -2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/30346 and 29\/8.\nAnswer: 121384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54.6 + 55. Put -0.8, -2\/13, q in decreasing order.\nAnswer: q, -2\/13, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6360 and 104.\nAnswer: 82680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + 45. Let g = h + -69.9961. Round g to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 75, -1 in descending order.\nAnswer: 75, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16289*z = 16312*z - 1794. What is the highest common divisor of 13299 and z?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2452 + -15?\nAnswer: 2433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1008)\/(-3276) + (-408)\/(-26)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19073 in -0.1, 1602, 5?\nAnswer: 1602","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.6323 + 32836206?\nAnswer: 32836186.3677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*v**2 + 1460*v**3 - 46*v**3 + 307*v**2.\nAnswer: 1414*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 196510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.01727\nAnswer: -0.005181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.214 + 4.9698?\nAnswer: 6.1838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-4 + 1 + 0. Let q = -5 - a. What is the second derivative of -t + 0*t**2 - t**q + 3*t**2 wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 + 14*p + 27. Let w be g(-19). Let c be w\/(-6)*24\/(-16). Let d(t) = -c*t - 1 + 212*t + 2. Calculate d(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4997, -9958, -14931, -19922, -24937, -29982, -35063, -40186?\nAnswer: -45357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/200*(11 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -63. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 8 (b) 0.2 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2198314 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -416\/3*a - 10\/3*a**4 - 64 - 308\/3*a**2 - 94\/3*a**3 = 0.\nAnswer: -4, -12\/5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 + -39. What is the closest to -0.1 in d, -2\/23, 0.4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s - 9 = -5*w + 26*s, -w = -0*w + s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 1. Suppose p*h - 20 = -u + 6*u, -2*u - 17 = -5*h. Suppose -h*l + 22 = o + 4*o, -3*l + 10 = -o. Is o greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 566486 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5, 6*c - c = q + 5. Suppose -5*u = -4*w + c*w + 3210, -639 = u - w. Let x = -1319\/2 - u. What is the common denominator of x and -91\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 14. Let c be g(11). Solve -v = -u - 0 - 1, -c*v = -4*u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.48 not equal to -1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -54, -136, -238, -354, -478, -604?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 2*g - 2*g**2 - 2*g**2 + 2*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**7\/8820 + s**6\/2520 + 17*s**4\/24 - 13*s**2. Let o(v) be the second derivative of h(v). Suppose o(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 994 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m. Let a(t) = 34*t. Determine 3*a(j) - 6*z(j).\nAnswer: 96*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6*j. Let d(i) = 18164*i**2. Determine u(d(c)).\nAnswer: -108984*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000039400783 to 7 decimal places.\nAnswer: 0.0000394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2*j - 8. Let h(c) = -c - 1. What is h(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10079)\/(-272133))\/((-26)\/6).\nAnswer: -1\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j**2 - 1823 + 1834 - 4*j - 5*j**2 - 3*j. Calculate o(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (391\/69)\/(1056\/880 + (-226)\/180)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*f + 1 - 14, -18 = -4*u + 2*f. Suppose 2*k = k + u. Suppose 2*t + 3*m - 69 = -0*t, k*t - 153 = -m. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 4:45 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1682013 by 69.\nAnswer: 24377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 2*s**2 + 2*s + 1. Let y be o(2). Suppose y*w + 4*j = -10, w = -w - 2*j - 6. Suppose w*g - 20 - 30 = 0. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -8\/149593?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -5761?\nAnswer: 5757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 3:50 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 5*f**2 + 6*f + 4. Let t be s(-6). Suppose -m + 4*z - 7 = 0, z - 8 = t*m + 5. Let h = 5 + m. Solve 0 = 2*u - 4*u - h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(325)*1 - sqrt(325) - sqrt(130)\/((sqrt(100)*-1)\/sqrt(10) + sqrt(10) + sqrt(10)).\nAnswer: -sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 20*o + 43. Let j(g) = -2*g**2 + 21*g + 43. Let b(p) = 7*d(p) - 6*j(p). Let x(m) = -m**2 - 4*m - 11. Let u(r) = 2*b(r) + 9*x(r). What is u(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/11 (b) 2\/5 (c) 9 (d) -1\/84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(320) + (sqrt(320) - (sqrt(320) - 3*sqrt(320)))).\nAnswer: -128*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20908?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5653, 5696, 5767, 5866, 5993, 6148, 6331?\nAnswer: 6542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144802585?\nAnswer: 5, 28960517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.2 - -13. Let v = 14.12 - 9.12. What is the closest to v in 0.5, o, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 + -57. List the prime factors of (-2 + (-171)\/2)*d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7695 is divided by 187.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 0.33, -4\/7, 0.04 in descending order.\nAnswer: 38, 0.33, 0.04, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*n**2 - 1 - 17*n**2 + 15*n - 15*n**2 + 0.\nAnswer: -5*n**2 + 15*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + q = 274 + 109, 5*w - 2*q = 404. Calculate the lowest common multiple of w and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.1, 2\/13, -71?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -45948 (base 11) in base 5?\nAnswer: -4110420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -0.06, -4, 2.\nAnswer: -4, -0.06, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -546265 or -546241?\nAnswer: -546265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 208*p - 1. Let k(u) = -256938*u. Give h(k(i)).\nAnswer: -53443104*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 865740*b + 9523624.\nAnswer: -4*(b - 11)*(b + 216446)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -12. Let v = 24 + z. 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: Sort -1, 3, 1246, 5, 4 in ascending order.\nAnswer: -1, 3, 4, 5, 1246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from biiirbbcatcicac. Give prob of sequence rt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 5)*((-4)\/10)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4120056)\/(-1224) - (-1)\/(-17)?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 851*p**3*v**2 - 2*p**3*v - 273*p**3 - 786982*p**2*v**2 wrt p?\nAnswer: 5106*v**2 - 12*v - 1638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a + 12. Suppose -9 = -a*x - 3*s, 0*x + 2*x + 3*s = 1. Calculate the remainder when x is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*j, -5*i - 6*j + 10 = -4*j. Suppose -3*a + 50 = 11. Solve -y + 5*r - 23 = i, -4*y - r + a = -0*r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/37 - 43\/111. What is the nearest to -1 in r, -0.7, 5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**4 + 103*x**3 + 2*x - 88 wrt x?\nAnswer: -12*x**2 + 618*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**3 - 2*a**2 + 3*a + 8. Let t(f) = f**3 - f**2 + f + 1. Let b(s) = d(s) - 5*t(s). Suppose 0 = -7*l - 8345 + 8359. What is b(l)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 e when three letters picked without replacement from {e: 8, i: 2, p: 1, x: 2}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.097 + -126.097. Let z = -127.13 - i. Let x = 1.129839 + z. Round x to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-1)\/1 - -2. Let h be (-10)\/3 - l*-1. Let v = 3 - 3. Do h and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1404, 1402, 1400, 1398, 1396?\n\"Answer: -2*f + 1406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 71, 97, 119, 137, 151?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 49850 to the nearest 100.\nAnswer: 49900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5599 + 5604 = -k, f - k = 0. Sort 12, f, -28, 3 in descending order.\nAnswer: 12, 3, f, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -1564, -5313, -12626, -24691, -42696, -67829?\nAnswer: -101278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from bqdpv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**3\/6 + 7*q. Let i(y) = -y. What is -7*f(u) + 5*i(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*g + 6 = 0, 0 = 2*t - 4*t + g + 3. Suppose b - t*b - 25 = 0. Let f = b + 51. Does 26 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j + 0*j - 3*j)*(10 - 7 - 4 + 6*j).\nAnswer: 12*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (5*((-2 + sqrt(405))*2 + sqrt(405) + 0 + -3)*3)**2).\nAnswer: -2493441 + 255150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30, -33, -44, -69, -114, -185, -288, -429?\n\"Answer: -j**3 + 2*j**2 - 2*j - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 14 = -5*y - 7, -4*y = -5*w + 7. Suppose -3*c = y*s - 132, 41 + 66 = 2*c - 5*s. Calculate the remainder when c is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -33*l + 524. Let u be c(10). Solve -2*p = 204 - u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -461 + 1457 + 14*g - 2*g**4 - 360*g**3 + 5015 - 6*g - 7*g wrt g?\nAnswer: -8*g**3 - 1080*g**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149526 = 59*j - 140*j. Which is bigger: 1844 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**5\/4 - 11*l**4\/12 - 11*l**3\/6 + 3*l**2 - 4*l. Let f(m) = m**3 - 2*m**2 - 2*m + 1. What is -22*f(s) + 4*o(s)?\nAnswer: -2*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*o**3 + 3*o - 3*o)*(-1 + 2 - o + 0) as k*o**2 + h*o**4 + b + g*o + s*o**3 and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(152)\/sqrt(32).\nAnswer: -3 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 620358.1 years?\nAnswer: 62035.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5*k - 11 = 0, 65*a - 70*a + 2*k - 18 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1599 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37972228.\nAnswer: 2, 7, 1356151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.623 to two dps.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -8.1. Is -19\/3 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2380*m - 31050 + 13070 = 12960 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0\/g)**(-31)\/(g**0*g\/(g\/(g\/(g\/((((g\/(g*(g*g*g**3*g*g*g)\/g))\/g)\/g)\/g))*g))) assuming g is positive.\nAnswer: g**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 36*l**2 - 12*l + 65. Let j be n(35). Suppose -30*o + o + j = 0. Solve 5*i - o = -5*x, x + 2*x = 2*i + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400.4 + 0.05630808?\nAnswer: 1400.45630808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19260.43 days to weeks.\nAnswer: 2751.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 5*v - 28 - 4, 3*o = -5*v + 53. Calculate the lowest common multiple of 84 and o.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, x: 2, g: 9, m: 5}. What is prob of picking 2 w, 1 g, and 1 m?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0109 + 0.2109. What is the nearest to -1 in 2\/5, o, 2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1124 divide 10838083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1392, 2769, 4144, 5517?\n\"Answer: -m**2 + 1380*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 167830045 to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4919336*a**3 - 8*a**2 - 2*a + 122830 wrt a?\nAnswer: -29516016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20502031.836 minus 9?\nAnswer: -20502040.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -670 + 675. Solve 6 = -3*f - 3, 4*b + s*f = -15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/2160 and 67\/1080.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 5*f**4\/24 - 119*f**3\/6 + 663*f**2. Let g(y) = y**2. What is q(g(z))?\nAnswer: 5*z**2 - 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + j + 2*j - 76, -j = -4*m + 138. Is 34 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2\/4 + 288267*n\/4 - 144133\/2 = 0.\nAnswer: 1, 288266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2\/9, -1.1, 3, -3, 6\/11, -8, 5\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + v. Let o(f) = -f + 17. Let w be o(v). Suppose -2*k = -3*y + 4*y - 47, 4*k + 110 = 2*y. What is the greatest common factor of w and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 8*m**2 + 11*m - 20. Let q be f(9). Let n(j) = -j**3 + 4*j**2 - j - 3. Let p be n(3). Is q*((-31)\/2 + p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2 - 2*j - 7. Let d(k) = 2*k**2 + k + 3. Let y(m) = 5*d(m) + 3*z(m). Calculate y(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a day?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-35))\/(1\/(-7)). Suppose -t = j*t - 21. Solve w - 3 = -t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 7*h**4 - 849*h**3 - 319569*h**2 - 225619*h + 820134 = 0.\nAnswer: -161, -2, 9\/7, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhghhhghghhhhgh. What is prob of picking 3 g and 1 h?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 82 = -218. Suppose 0 = -4*d + 32 + x. Calculate the remainder when d is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 10*t - 3. Let y be f(2). Let z be (-1 - 3) + 1 + -5. Let g = z + y. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2574 is divided by 957.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 533 = -f, 3*f + 5*y = 779 + 830. What are the prime factors of f?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1067 - -1025) + (-9 - -2).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z - 5*y - 4, y + 6 = 2*z. Let o = 32\/7 + -274\/63. Solve 2\/9*x**z - 2\/9*x - o + 2\/9*x**3 = 0 for x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y + 42*y**2 - 88*y**2 + 49*y**2 - 37. Is z(11) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 107720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1049*r - 8396. Let z be l(8). What is the smallest value in 23, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.5. Let m = t + 0.3. Let u = 1059\/7 + -151. Which is the third smallest value? (a) 3 (b) m (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45975 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/2 + -4)\/(-2). Let q(t) = 13*t + 3. What is the units digit of q(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91 - -93. Let q be 52 + (b\/2 - 5) + 1. Suppose -18 = q*x - 50*x. What is the greatest common divisor of 45 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -22.1?\nAnswer: 44.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + c - 3. Let h be w(0). Let y = h + 6. Suppose -13*n + 26*n = 221. Calculate the remainder when n is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 6*j - 5. Suppose 13*a - 7*a - 36 = 0. Give l(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -k - 17, 5*k + 1 - 16 = -5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 30 = -3*x, -78*a - 2*x - 27 = -81*a. What is the second derivative of -58*o - 59*o**3 + o**2 + a*o + 3 + 0 + 72*o**3 - 5 wrt o?\nAnswer: 78*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 5:19 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 5*q - 2. Let c be k(4). Suppose -m - c - 1 = 0, 4*m = i - 12. Suppose -3*d + 2*d - 1 = i, -5*s + 2094 = d. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 9. Let f be s(3). Suppose -78 = -f*i - 0*i. Calculate the remainder when 51 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9495244 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38281193.\nAnswer: 4547, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.06 - -0.06. Let d = -6 - w. What is the closest to -0.1 in -1\/6, -2, d?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1022 + 116 = -4*d + c, -3*c + 672 = 3*d. Solve 0 = 227*o - d*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106 + -68. Let l = 40304 + -40260. Solve -18 = l*w - y*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, u: 2, j: 1, b: 1}. Give prob of picking 1 b, 2 j, and 1 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 minus -1233?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105 - 72. Let u be -1*1\/(2\/38). Let d = u + i. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2*sqrt(320) - sqrt(320)) - 1*-2*sqrt(320))**2 + -1*sqrt(400)\/sqrt(5) + 0.\nAnswer: 44*sqrt(5) + 2881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 8*p + 0*p + 6 - 2*p. Let d(g) = 1. Let s(k) = -45*k - 399. Let b be s(-9). Determine b*d(o) - f(o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (159 - 170 - (1 - 23)) + (0 - 41)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l. Let w(o) be the third derivative of -o**8\/560 + 19*o**5\/60 + 21*o**2. Let t(r) be the third derivative of w(r). Calculate g(t(c)).\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 189842 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27587 (base 15) in base 6?\nAnswer: 2411531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/36 of a day?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 11, o: 4, n: 3}. What is prob of picking 1 n and 2 i?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101546 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 171 = 2*i. Let k = i - 41. Calculate the greatest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -130?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 11 - 9 = 6*b + 19, -s = -3*b - 20 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - h - 2. Suppose 89 = 2*k + 5*z, h*k + 2*z - z - 101 = 0. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 131 + -131. List the prime factors of (-30)\/(-45)*(63 + m).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -9. Suppose -5*u = -5*l - 10, 5*l - 3*u = -k - 7. Let t(d) = 3*d**2 + 2*d. Determine t(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17174500 and 48020?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -183.49 + 183.29. Let j = -0.09 + 4.09. What is the third biggest value in u, 2\/15, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + 0*b**4 - b**4 - b**2 + b**2 - 2*b**4 + (0*b + b + b)*(-6*b**3 + 3*b**3 + b**3) + b**4 - b**3 + b**3 + 0*b**4 + 15*b**4 - 5*b**4.\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115289 is divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**7\/1470 - d**6\/210 - 10*d**3\/3 + 5*d. Let z(r) be the second derivative of c(r). What is v in z(v) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15 + -9)\/((-3)\/(-2)). Suppose 5*q + 392 = m*y, 4*y - 6*y - 5*q + 166 = 0. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1282118 by -18058.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 50 + 8)*(-24*p + 90*p - 34*p) in the form d*p + m and give d.\nAnswer: -1536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (92\/170)\/((-140)\/175) and -97\/12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7*g**2 + 3*g + 12. What are the prime factors of b(14)?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -5. Let r = 1 - s. Suppose 2*f + 4*o - 10 = -0, r = -5*o - 5. Calculate the remainder when f is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11, -17.\nAnswer: -17, -11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 3*c**2 + 3*c - 35. Let i(u) = u**2 + u - 1. Let o(q) = 18*q + 289. Let n be o(-16). Give n*y(g) - 3*i(g).\nAnswer: g**3 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 32 - 32. Suppose -s*a = -4*a. What is the nearest to 1 in -3, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2319651*(66\/21 - 3). Let c = a - -330492. Let q = c + 891. Calculate the common denominator of -83\/6 and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 5*h - h + 2 + (-42 - 63 + 4)*(1 - 1 + 1)*(-3*h - h - h) - h + h - 3*h.\nAnswer: 503*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kycckkpckkeuu. What is prob of sequence cpu?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 51939640105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 11:09 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*q + 599, 4*q + 369 = 2*j + 65. Let w = j + -31. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1 - 2 = -2*n, -2*n + 2*p + 6 = 0. Suppose -3*f - n*f = -20. Suppose -2 + 11 = 5*z + d, z - 2*d - f = 0. Solve z*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 2, f: 2}. Give prob of picking 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20246586103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -j + 3*j - 24, 342 = 56*j - 142*z + 140*z for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-3 + (0 - 0) - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3362254 is divided by 432.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(10)*-6)\/(sqrt(60)\/(sqrt(12) - 3*sqrt(12)) + sqrt(5)) + -2.\nAnswer: -12*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 255 and 114?\nAnswer: 9690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q - 28. Let m(i) = 11*i**3 + 67*i**2 - 29*i + 52. Let a(b) = 2*b**3 + 11*b**2 - 5*b + 9. Let u(l) = -13*a(l) + 2*m(l). Is u(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 170*-5 + 1 - (-102)\/51. Let o = -510 - h. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine fifths of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k - 4. Give d(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 179 - -241. Suppose -5*z - 5*n = -h, -4*z + 3*n = 2*n - 326. Suppose s = 3*c - z, -2*s - 2*c + 0*c = 164. Round s to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6325.92282 - -6326. Let u = 5.21982 + r. Let k = u + -0.057. Round k to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -31?\nAnswer: -7\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6920.999974015 - -6921. What is q rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + (-6)\/(-8))\/(9\/(-8)). Which is the nearest to -1? (a) -2 (b) 0.28 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183870213?\nAnswer: 3, 1567, 39113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t = 0. Let h(j) = j**2 + 5*j + 1. Let w(v) = -2*v**2 - 9*v - 2. Let z(c) = -11*h(c) - 6*w(c). Calculate z(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - r + 34. Suppose -13*p + 9*p + 2 = -b, 4 = -4*p - 2*b. What is n(p)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 305319 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 37396*k**2\/15 + 37398*k\/5 + 6\/5 = 0.\nAnswer: -3, -3\/18698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109 - 16. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 9*y + 76. What is the remainder when 321 is divided by f(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55577 (base 8) in base 12?\nAnswer: -1167b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -5*d - 21, 17 = -5*d + 16*r - 19*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 10*u**2 + 157*u - 42. What is z(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17358\/66 - (-3)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m - 56. What is g(0)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-13)\/3)\/(2\/6). Let u = s + 1. Let l be 8\/3 + (-4)\/u. Solve 0 = -4*o + 4*v - 4 - 20, -2*o - v - l = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.46 and -1494.1.\nAnswer: -2181.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + n**2 + n - 1. Let r = 12 - 11. Give w(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 920*m - 923*m - 3*f - 84 = 0, 5*f = 4*m + 112 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6209, 24916, 56111, 99794, 155965, 224624, 305771?\n\"Answer: 6244*m**2 - 25*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 - 16. Let l = q - 37. Which is the second biggest value? (a) l (b) 0.05 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1745994530, 1745994532, 1745994534?\n\"Answer: 2*m + 1745994528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*d + 383 - 287 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-566)\/(-60) + -11 - (5 - (-343)\/(-70)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.28 (b) 0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 629257 or 1?\nAnswer: 629257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 8 (b) 1\/3 (c) -1\/293\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 2*g, w + 3*w - 10 = -g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 14 = -14*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -30 - 4 - 17 - 8 + 53*k. What are the prime factors of d(12)?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010101 (base 2) to base 11\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/50 and 179\/120?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2038195 or -2038196?\nAnswer: -2038195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 d when three letters picked without replacement from {m: 1, x: 2, d: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -772878.\nAnswer: -5\/772878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0.4 (c) 5 (d) -419656\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 + 48. Suppose -y + n*y - 1292000 = 0. Round y to the nearest 10000.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169847099 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -126.618233 + 8019.693\nAnswer: 7893.074767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144325999?\nAnswer: 144325999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0052953 rounded to 4 decimal places?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -3*r**7\/14 + r**6\/30 - 79*r**4\/12 - 2*r - 56. Find the third derivative of s(z) wrt z.\nAnswer: -540*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 1:14 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 30821340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*o - 4*j, -3*o - 552*j = -551*j + 3. Which is the nearest to -1\/2? (a) -1.81 (b) 1\/4 (c) o (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5}. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c. Let a(t) be the second derivative of -t**3\/6 + 5*t. Determine a(r(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-nine quarters of a hour?\nAnswer: 53100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(13) - (sqrt(26)\/sqrt(2))**2) + sqrt(13) + -1 + 0 + (sqrt(78)\/sqrt(2)*-1)\/sqrt(3).\nAnswer: -11 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 985*b**2 + 42335*b - 867. Calculate o(-43).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 350590 to the power of 1\/2, to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**3 + 15*k**3 - 3*k**3 - 1380*k + 10*k**3 + 1380*k.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**5\/150 - 5*v**4\/12 - 8*v**3\/5 + 2584*v**2. Factor x(a).\nAnswer: -2*(a + 1)*(a + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34036\/9 + -3782. Let u = 24 + -14. Suppose 4*v + n = -u, -v - 3*v - 18 = -3*n. What is the third smallest value in 1.7, v, t?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1320634?\nAnswer: 2, 7, 94331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 4:52 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -w + 35, -3*a - 20 - 1 = w. Let l = a - -36. What is the remainder when 85 is divided by l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m + 142*m - 579086 = 4585892. What is the ten thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-6 - (5 - -4)) + (7 - -145) + -16.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/19 (b) -28 (c) -0.016 (d) 11\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/16 and -79\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2799 divide 52414411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -1. Let y = -10.74993 + 5.74993. Let m = 3 + -3.4. What is the third biggest value in o, y, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1714 + -1708. Suppose -34 = n + n - 3*z, 5*z = -n - 4. Let h be (-342)\/n + (-12)\/(-21). Solve -5*a - u + h = 0, g*u - 2*u = -3*a + 32 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 119 and 65943?\nAnswer: 461601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4215, -5693, -7171, -8649, -10127?\nAnswer: -11605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33873282 and 2448.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 9. Suppose -4*l - 3 - 1 = 4*b, -3*l - 4*b - 2 = 0. Let a = -2 - l. Let u be c(a). Solve 4*q + 1 = u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93731649535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2622 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 750 + 8. Let p(f) = -5*f + 758 - n. Suppose 0 = h + 4*h + 3*a - 24, -4*h = 3*a - 21. Determine p(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 194 - 194.000782. What is s rounded to five decimal places?\nAnswer: -0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 729*h**4 - 1512*h**3 + 784*h**2.\nAnswer: h**2*(27*h - 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110565.\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -38, -46, -46, -38?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/11 + 82999*c**2\/11 - 1754968399*c\/11 + 1352991368601\/11 = 0. What is c?\nAnswer: 801, 41099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 77\/5 + (-2)\/5. Let p be 6\/y - 2\/5. Suppose p = -10*v + 5*v + 40. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, 0.5, 2\/85, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.7 + -0.7. Let o = -0.44396 + 0.41396. Put o, 0.7, t in ascending order.\nAnswer: o, 0.7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 + 10 + (-2 - 2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k**3 + 2 + 4*k - 8*k**3 - 2.\nAnswer: 3*k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1979702 less than -209?\nAnswer: -1979911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33342034021 - 2?\nAnswer: -33342034023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 31436.\nAnswer: 31436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n**3 - 2*n**2 + 2*n + 6025. Let c(y) = 7*y**3 + 3*y**2 - 3*y - 6024. Calculate -2*c(t) - 3*f(t).\nAnswer: -2*t**3 - 6027","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3432 - -55041?\nAnswer: 51205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -503, -511, -535, -581, -655, -763, -911, -1105?\nAnswer: -1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from {d: 1, j: 11, o: 8}.\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 13 = 2*r - 4*r, -5*r = -5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-13\/3)*o*o\/(o*o\/o**(-2\/11))*(o*o\/o**(-6))**0)**50 assuming o is positive.\nAnswer: o**(-7450\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 414, 2904, 9502, 22236, 43134?\n\"Answer: 338*v**3 + 26*v**2 + 46*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1107 and 28589013?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + n. Let u(j) = -j**3 + j**2 + 2*j + 2. Calculate -2*a(d) + u(d).\nAnswer: -3*d**3 + d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55251 and 500031.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 6. Let u be g(-3). Solve -3*j - j - 16 = u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20757 is divided by 107.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 3560*t.\nAnswer: -2*t*(t - 1780)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 0. Let j = -6 - f. Let z = -2 - j. Put 0.4, 2\/9, z in decreasing order.\nAnswer: 0.4, 2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 913 and 110?\nAnswer: 9130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 175250 + 190270. Suppose -10*r = -18890 - l. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x + 41269 = -154465. Does 105 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 3. Suppose -n - 5*u - 5 - 9 = 0, 4*n = -4*u + 8. Let c be s(n). Solve 4*m - 2 = 5*y + 4, 26 = 5*m + c*y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 28) + 16 + 3 + 18\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1506.25 + 36.75. Let x = 1542.200001 - k. Let v = 0.8 + x. Round v to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -43*z**3 + z**2 + 3*z. Let b(p) = -43*p**3 + p**2 + 5*p. Determine -2*b(t) + 3*l(t).\nAnswer: -43*t**3 + t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 35. Suppose 4*p = -s*p + 120. Differentiate -10 + 8*x**3 + 0 + p*x**3 with respect to x.\nAnswer: 84*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -81373200 to the nearest 1000000.\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 87904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 21*l + 17*l = 360, l = 4*m - 348. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -412 bigger than -412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, -9, -4984 in increasing order.\nAnswer: -4984, -85, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -653 - 217 = -239*h + 326*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4198.18 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**2\/w)**(16\/9)\/(w**(1\/3)*w)**(-24))**(-1\/2))**(-7) assuming w is positive.\nAnswer: w**(1064\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18002 <= 18005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0*w**7)\/(w**(2\/15)\/((w\/(w**(-1\/3)*w))\/w*w)))\/(((w\/(w\/w**6))\/(w**(1\/2)\/w))\/(w**(-1\/3)\/w*w*w*w**(-6)\/w)) assuming w is positive.\nAnswer: w**(-169\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.036968 - 0.963032. Suppose 6 = 2*z - 4*z. Let w = -157\/260 + 9\/20. Put z, w, d in descending order.\nAnswer: w, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 16*m. Let w(f) = -678*f**2. Determine q(w(l)).\nAnswer: -919368*l**4 + 10848*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 449011, 898019, 1347005, 1795969, 2244911, 2693831, 3142729?\nAnswer: 3591605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 60 = -12*n. Suppose -n = -13*x + 6. Solve 0 = 3*d - 5*o - x, -3*o - 6 = 2*d - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**7\/840 - t**6\/360 + t**3\/6 + 4*t**2. Let o(g) be the first derivative of d(g). Find the third derivative of o(p) wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3183534 to the power of 1\/2, to the nearest integer?\nAnswer: 1784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, -6, -4, 52 in decreasing order.\nAnswer: 52, -3, -4, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -24*v**2 - 9*v + 17. Let k(d) = 5*d. Calculate k(x(z)).\nAnswer: -120*z**2 - 45*z + 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 0. Let m be 3\/((-30)\/4)*-10. Suppose -m*o = -r*q + 16 - 70, 3*o = -q + 47. Solve -o = -5*j - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 219765 and 2205?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9480 and 804520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3693898 is divided by 369388.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, 16, 0.5, -5, -344?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**22*(y*y**(-4\/17)\/y)\/y*(y\/y**(6\/11))**(-32) assuming y is positive.\nAnswer: y**(1163\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.099 + 8.299. Which is bigger: 0.117 or v?\nAnswer: 0.117","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.01 (b) 17 (c) 344 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37618804 divided by 8.\nAnswer: 9404701\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from yzjlp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2) + 6\/12. Suppose 4 = -3*f + z, 0 = -f - z - s*z - 8. Is (f\/(-9))\/(2\/3246) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 85*c**6\/6 + 2*c**3 + 25*c**2 - c - 563. Find the second derivative of l(g) wrt g.\nAnswer: 1700*g**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1aca (base 15) to base 8\nAnswer: 13267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*u. Let n(z) be the third derivative of z**4\/24 + 7*z**3\/6 + z**2. Give n(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -12220000012011?\nAnswer: 12220000012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 84 - 20. Suppose -3*v + o - 1 = 0. Solve 0 = -4*m - v*n + 37, -4*m - n + 27 = 2*n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 336501 or 336502?\nAnswer: 336501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1791366, 3582731, 5374096, 7165461?\n\"Answer: 1791365*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*a - 54 = -564 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349557501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.709644 litres to millilitres.\nAnswer: 2709.644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*a**4*i**3 + 2114416*a - 5*i**3 - 2155920 wrt a?\nAnswer: 32*a**3*i**3 + 2114416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6254*p**2 - 5*p - 6349*p**2 + 4*p as l + q*p + x*p**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6845403 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: -63.3 times -137\nAnswer: 8672.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1300 + 1322 = m + 2605 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) 0.9 (c) 0 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 + 101. Suppose 0 = j + 1 - 4. Suppose -b = 4, -15 = j*t - 3*b - 69. Calculate the lowest common multiple of f and t.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 264, -2 in descending order.\nAnswer: 264, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - i - i)*(2*i - 4*i + 0*i) - 2*i**2 + 0 - i**2 + 2.\nAnswer: -5*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -169 - -254. Let q = 97 + -94. Suppose -5*k - 70 = -5*p, 8*p - 2*k - 61 = q*p. Calculate the remainder when b is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 84 (b) -3 (c) 2\/7 (d) 5 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (39 - 21 - 20)*(1 + h - 1)*(3 - 3 + 5) in the form b + l*h and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 226*z**2 + 884*z - 1127. Calculate a(-222).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446464?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r - 5. Let c(o) be the third derivative of 1\/6*o**3 + 0*o + 0 - 52*o**2. Determine 4*c(p) + m(p).\nAnswer: 5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -128166, -255171, -382178, -509187?\n\"Answer: -h**2 - 127002*h - 1163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 10\/23, -17\/11, 6 in descending order.\nAnswer: 6, 10\/23, 0.2, -17\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 462 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -17*a. Let z(w) be the second derivative of 8*w**3\/3 + 162*w. What is z(m(v))?\nAnswer: -272*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 0.2, 1\/7, -6.1 in ascending order.\nAnswer: -6.1, -0.05, 1\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48791357 greater than 48791351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36.6 - -1.6. Let z = 252 + n. Let l = 216.99867 - z. What is l rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -25, -3, -31, -2 in increasing order.\nAnswer: -31, -25, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 931767 and 7347.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -15.81, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**2\/7 - 66588*y\/7 + 266384\/7 = 0.\nAnswer: -33298, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3249350595581 - 3249351447551.3700012. Let t = 851984.37 + w. Let q = -14 + t. What is q rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 9*c + 0*c)*(5*c - c - 2*c) - c + 2*c**2 + c - c**2 - 3 + 3.\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkka when four letters picked without replacement from updpppkakkauppk.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.5 (b) 5\/2 (c) -515 (d) 2\/9 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 0)\/((-2)\/(-2)). Let b(j) = -4 - 5*j + 0 + 3. What is the units digit of b(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 52. Let a be 1\/(k + 2) + (57 - -2). What is the highest common factor of a and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(209)*2 + sqrt(209))\/sqrt(11).\nAnswer: 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 2:38 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133 - 128. Suppose 1617 = p*b - 613. List the prime factors of b.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.22196 to one decimal place.\nAnswer: 52.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2415 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + p. Let y(n) = n**3 - n + 4. Let w be y(p). Differentiate 0 - 1 + 2 + z**w with respect to z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p**3 + 2*p**2 - 16*p + 8. Let y(z) = -6*z**3 - 3*z**2 + 15*z - 7. Let o(c) = 5*h(c) + 6*y(c). Give o(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -7*b + 10. Let t = b - -3. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 3*r = w - 20, 5*w - 4*r - 5 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 55359.\nAnswer: 1771488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 324861 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ts when two letters picked without replacement from tszst?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) -0.06 (b) -1\/6 (c) 1.2 (d) 0 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 - 121?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 15*g - 221. Let i(k) = k - 6. Let b be i(6). Suppose b = 5*r - 0*r - 680. Calculate the highest common factor of g and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 819 - 766. Calculate the remainder when o is divided by 52.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 4*k**2 - 1. Calculate x(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 7:39 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 7:10 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) 78\/19 (b) 4\/7 (c) -2 (d) 9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + -45. Let o be (-15 - -9)*c\/9. Find the second derivative of -13*u + 2*u**2 - 8*u + 10*u**o + 6*u wrt u.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.18 + -0.72. Let d = j - -13.9. Sort d, -2\/19, -1\/6 in decreasing order.\nAnswer: -2\/19, -1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -3*d + 10, 0 = 3247*v - 3248*v - 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -9. Let p = -1142 + 1145. Solve -2*w - 2 = -p*i, 7*w + 18 = t*w - i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150964075 divided by -30192815\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3872201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + 78. Suppose 0 = 3*u + u - z. Let h be (-14)\/u + 4\/10. Solve g + h = -1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 1515861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfd when three letters picked without replacement from ffsdns.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137536348?\nAnswer: 2, 34384087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**3\/3 + h**2 - 54*h + 1. Let b = -176 + 189. Let j be u(b). What is j rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262466 divided by -575\nAnswer: -262466\/575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000016929 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -95645133*i**3 + 41623985*i + 2?\nAnswer: -573870798*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from {t: 2, o: 1, h: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67077251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1805 + -1809. Sort t, -1, 0, 752 in decreasing order.\nAnswer: 752, 0, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**4\/6 - x**3\/2 - 8*x**2. Let c be 2\/1 + -2 + 2. Is v(c) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479010 + 55501 = 9513*a + 2389*a + 117941 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 19*d**2 - 271*d - 31181. Calculate f(-34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(2\/15)\/c)*c**(-10))\/(c**(2\/15)*c)**(20\/7) assuming c is positive.\nAnswer: c**(-398\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 12:30 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sacq when four letters picked without replacement from {a: 2, q: 1, c: 2, s: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46628998 is divided by 3768.\nAnswer: 3766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4456 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8*d - 3. Let i be n(-1). Let u(v) = 11 + 0*v - i*v - 11. Let s(p) be the third derivative of p**5\/15 + 10*p**2. Give u(s(c)).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3344500 rounded to the nearest one hundred thousand?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1231380?\nAnswer: 2, 3, 5, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b + -30645?\nAnswer: -30617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.78 - 4.92. Let k = 5.56 + l. What is the closest to k in -1, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132503?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1631, 14535, 50617, 121799, 240003, 417151, 665165?\nAnswer: 995967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -734270 divided by 7270?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - (-6 + (-21 - -14))) + -2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c*c**2)\/c)**(-30)*c**1\/c*(c*c**10*c*c)\/c)**(3\/13))**(20\/11) assuming c is positive.\nAnswer: c**(-360\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 10:49 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 131, 193?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9)\/(-18))\/(4\/1232).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**3 + 11*h - 3. Find the first derivative of n(v) wrt v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 9. Let h(v) = 1 + v**3 + 3*v + 28*v**2 - 24*v**2 - 6*v. List the prime factors of h(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t + 8, -3*b - 29 = -5*t. Is (7\/b)\/((-2)\/12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g, -19*x + 17*x - 14 = -5*g for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.14 - -0.267. Let g = q - 3.567. Round g to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 126, 135, 162, 213, 294, 411, 570?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 151*q - 18 = -156*q, -q = -3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7601 - 7600. Which is the nearest to 0.27? (a) -0.58 (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.346 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/9141130 and 59\/83446.\nAnswer: 100552430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.044 + -0.044. Let h = 37 - 32. Suppose 3*u + 9 = 0, -5*u - h = j - 3*u. Which is the third biggest value? (a) n (b) j (c) -3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 3, -50422, 9, 1 in ascending order.\nAnswer: -50422, -2, -1, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 29, 35, 43, 53, 65, 79?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15092 is divided by 387?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i**2 + 0*i**2 - 2*i**3)*(-2*i + i - i) - 2*i - 2*i**4 + 2*i + 49 + 8*i**4 - 5*i**4 - 70 to the form u + d*i**4 + v*i**3 + p*i**2 + s*i and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 60757064, 60757077, 60757108, 60757163, 60757248, 60757369?\n\"Answer: l**3 + 3*l**2 - 3*l + 60757063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*r**2 - 15*r**2 + 19*r**2 - 1464*r**3 + 11*r**2 to the form q*r**3 + h + p*r + v*r**2 and give q.\nAnswer: -1464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1882 - 576 - 3329 + v - 2330 to the form z*v + u and give u.\nAnswer: -4353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -816822*x + 816801*x + 147 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 10*c**3 + 3*c - 2*c.\nAnswer: 10*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103 or -104598?\nAnswer: -104598","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 531? (a) 55 (b) -5 (c) -2 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-8))\/(1\/(-12)). Suppose -u = -5 + 1. Solve 2*x + u*d = -d - g, 0 = -5*d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7287161?\nAnswer: 7, 647, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*h + 2184150 = 0, -160656 = v + 5*h - 888688. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1049, -4229, -9531, -16955, -26501, -38169?\n\"Answer: -1061*c**2 + 3*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.03, -0.4, 4\/3, 3.4, -3 in descending order.\nAnswer: 3.4, 4\/3, -0.03, -0.4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o - 5. Let s be h(-2). Suppose -6 = 5*w - s*w. Which is the closest to -37? (a) w (b) 3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 5*a**2 + 7*a - 4. Suppose 24 = 3*w + w. Let v be q(w). What is f in 3*f**v - 5*f**2 + 6 - 2 + 2*f = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 3732801897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 + 76. Suppose -r = -t*r + 14. Solve -5*x + 2*z = 0, -2*x + r = -0*x + 2*z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(80) - sqrt(20))*-1 - (sqrt(20)*2 + sqrt(20) - sqrt(20))*6)\/(-5*sqrt(16)*-3)*2.\nAnswer: -3 - 13*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 889771937 and 16738.\nAnswer: 889788675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (5 + -11)) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 - 89. Let j(t) be the first derivative of -4 + 0*t + 2\/5*t**5 + 0*t**3 + 3\/2*t**2 + q*t**4. Find the second derivative of j(d) wrt d.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*g - 71*g + 6*g.\nAnswer: -105*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1*51\/18)\/((-70)\/420)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1726*i + 5160 = -1812*i for i.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**3 - 131596*h**2 + 6986040*h + 7117632 = 0. Calculate h.\nAnswer: -32952, -1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3484480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, x: 1, b: 2, v: 2, o: 1, h: 1}. What is prob of sequence bbh?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08945 + -0.18945. What is the nearest to j in 0.2, -0.115, -0.5, 1?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*n + 4. Suppose -5*f - 4 + 1 = -4*k, -2*k = -n*f - 1. Suppose -o + 12 = 3*c + 2*o, k*c = 2*o + 24. Is 8 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*s - 27. Let o = -4 - s. Let v = o + -11. What are 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 remainder when 278884 is divided by 4808?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9662*o - 9670*o + 19332*o - 77*o**2.\nAnswer: -77*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/37 and -61\/871350?\nAnswer: 871350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -j - 1. Let n(d) = -d + 7. Let u be n(j). What is the derivative of u + 2 - w**2 - 1 wrt w?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106 and 10?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3934 + 0.0240047\nAnswer: -0.3693953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110425 is divided by 108924.\nAnswer: 1501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005601 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6693 = -5874. What is the highest common divisor of 71 and o?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62268 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1388326 to the power of 1\/2, to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a - 7. Let k be x(5). Suppose -3*s - s - h - 1 = 0, -k*h - 3 = 2*s. Suppose -3*w + 96 = 3*b, -w - 4*b + s = -41. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 16*w - 1. Let f be x(2). Let n(b) = 2*b**2 - 6*b + 5. Let y be n(3). Solve 0 = -5*r + 2*t + 4, y*t - f = -4*r - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -409, -838, -1267, -1696?\nAnswer: -2125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a**2 - 3*a**2 - a + 3*a**2)*(-48*a - 299 + 299) in the form y*a**2 + b + s*a + g*a**3 and give y.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1, -2, -1\/6, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -15. Which is the nearest to -0.3? (a) 2\/7 (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + 4*j + 10 + (3 - 1 - 1)*(4*j + 4*j - 4*j) - 18*j - 12*j - 12*j.\nAnswer: -34*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 596104367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6))\/(1\/3). Let q(a) = -a**n - 4*a + 6 + a - 3*a - 6*a. What is the remainder when 15 is divided by q(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (1 + -1)) + (-4 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5763 divided by 6802.\nAnswer: 5763\/6802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-1) + (0 - -3). Let q = 192 - 189. Which is the smallest value? (a) o (b) q (c) -3\/8 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(190)*-1 - sqrt(190) - (sqrt(190)*-2*4 + sqrt(190)))*-1)\/(sqrt(40)\/(sqrt(8)\/sqrt(2)) + sqrt(50)\/(sqrt(5) - sqrt(80))).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11585, 23157, 34719, 46271, 57813?\nAnswer: 69345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -206, -64 in descending order.\nAnswer: -4, -64, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.6 (b) 1.2 (c) -5 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 135c + 5?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62929*b*z**5 - 2*b*z**4 + 197*b*z**2 - z**2 + 7 wrt z?\nAnswer: 3775740*b*z**2 - 48*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1120512 (base 6) to base 13\nAnswer: 2006c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**4\/6 + 55*f**3\/3 - 163*f**2. Is y(-30) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2766*p + 8319 - 4648 - 137368 = 43327 for p.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/30 and -1\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*k - 10, 8*k - 38 = -0*q + 2*q. Solve q*l - n = -10, -2*l + 13 = -5*l + 2*n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -17 - (2 + 6)) + 3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 32. Let x = y - -56. Let r = x + -35.977. Round r to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14882520351 and -12034?\nAnswer: 14882508317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 1\/15*v**6 - 7\/5*v**2 + 6\/5*v + 5 + 4\/15*v**3 - 2\/5*v**5 + 3\/5*v**4. Factor d(y).\nAnswer: 2*(y - 3)*(y - 1)**3*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b1718 - 1?\nAnswer: b1717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 0*x + 4*x - 4 + x**2. Let w be s(-6). Let y(a) = 5*a - 5*a - w*a**2. Let v(u) = 4*u. Give y(v(o)).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 9240000 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14014 is divided by 2412.\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(-3)\/(-10))\/((-75)\/(778 + -28))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**3\/4 - 751*i**2\/2 - 141375*i - 281250 = 0.\nAnswer: -750, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.43195 less than -706366?\nAnswer: -706364.56805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 178.474 * 3\nAnswer: 535.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 52864 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: Suppose 0 = 5*a - 5*w - 15, -w + 8 = 2*a - 4. Solve 0 = 2*j + 3*f + f - 4, -10 = -a*j - 4*f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164110340 divided by 164110340\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*u**3 + u**4 + u + 3*u**2 + 66*u**3 - 124*u**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12326 - 12431. Is u at least as big as 1.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(1 + (-87)\/88). Suppose 7 = 5*s - m. Suppose -109 - 161 = -5*n + z, -155 = -3*n + 2*z. What is the remainder when n is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106 - 105.8. Let l = -0.28 - -3.08. Let w = l - 3. What is the second smallest value in -0.4, w, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - -0.1. Let d = -0.2 - x. Let t be (1 + 2)*(-3)\/(-63). Which is the third biggest value? (a) d (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2333 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*y - 136 + 164, 0 = -2*y + 2*p + 8. Solve u - 1 = 4*h - 10, -3*h = -u - y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/(-200)*((-36)\/10)\/3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-624547)\/(-539) + (-10)\/14.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**5\/20 - q**4\/12 + q**3\/6 + 2*q**2 + 3*q. What is the units digit of u(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*o - 20, -3*o - k + 1827 = 1835. Which is bigger: -2\/4157 or o?\nAnswer: -2\/4157","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34792062 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 19*v + 265. Calculate w(27).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7922489234 to the nearest integer?\nAnswer: 89008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100943807*d**2*j**3 + 23194*d*j**3 + 3126*d*j wrt d.\nAnswer: -201887614*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Suppose -11*h - 77 + 22 = 0. Let k = 33\/5 - 236\/35. Which is the closest to -1? (a) h (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4\/2 + 9*g**3 - 54*g**2 + 60*g.\nAnswer: 3*g*(g - 2)**2*(g + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10513 (base 6) in base 14?\nAnswer: -781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 180\/43 greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - 0 - (-2)\/4*68. Calculate the greatest common factor of a and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 + 545213?\nAnswer: 545153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-11)*i**(-8))\/((i*i**1\/i)\/(i\/i**(-10)*i)))**19 assuming i is positive.\nAnswer: i**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1235 + 2142. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/120 - 1\/4. Let b = 1567.4 - 1566.9. Sort q, 5, 4\/5, b in increasing order.\nAnswer: q, b, 4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184690 divided by 1679.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-783)\/2*((-184)\/(-24) - 9). Let f = w - 390. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/(-7) + 1799\/(-15). Let v = s + 117. Is v at least as big as 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - d - 79 - 11 = 0, 0 = -4*q + 4*d + 72. Suppose p - 14 = q. Suppose -4*o + 0*o + p = 0. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399697 is divided by 5961?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 3:56 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 2:01 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + o**3 + 0*o**2)*(-3*o + o + 0*o) + 16766 - 16766 - 1122*o**4.\nAnswer: -1124*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/((-1470)\/20))\/((-10)\/(-7))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.805 - -6.905. What is the closest to o in 4\/3, 0.47, -3\/7, 4\/5?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -49552.63 from -34.\nAnswer: 49518.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 43*q + 0*q**4 + 0*q**6 + 0*q**2 - 29\/2*q**3 - 1 + 36\/7*q**7 + 0*q**5. What is the second derivative of d(m) wrt m?\nAnswer: 4320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21247*m = -z + 21244*m - 3, -m + 39 = -3*z - 0*m for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123900 divided by -23?\nAnswer: -123900\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-152 - 858 - 1460 - 63)*(5 - 5 - 2*g**2).\nAnswer: 10132*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18084 + 20*q + q - 18084.\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1988234ml in litres?\nAnswer: 0.0001988234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 - 19.9. Let f = -41.2215 - -60.2156. Let x = t + f. Round x to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 273a6 - 0?\nAnswer: 273a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 0 - 7*v + 1\/120*v**5 + 3\/2*v**3 + 1\/12*v**4 + 0*v**2. Let r(l) be the second derivative of x(l). Calculate r(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**2\/11 - 6*q = 0.\nAnswer: -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/20 and 34\/(-220) + (-4)\/(-20).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 464.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1942 - 7807\/4. Find the common denominator of 30\/(-22) - 48\/(-32) and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**0)**(-1\/23)*(c**(-1\/4))**8)\/(c\/(c\/(c*c**(-2)*c))*c*c*c*c**(-4)*(c**(4\/9)*c*c)\/c**(-2)) assuming c is positive.\nAnswer: c**(-1136\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 - 87. Which is the smallest value? (a) 4\/11 (b) z (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*b + 3*o + 1, -4*b - 35 = o. Let q = b - -15. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 17 = -4*s. Suppose s*c = c - 30. Is 9 a factor of (63\/(-2))\/(c\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7429547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -9*k + 2. Let s(f) = -16*f + 6. What is 4*s(h) - 10*v(h)?\nAnswer: 26*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*x - 125*x + 12 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 478*g - 13 = o + 473*g, 10 = -o + 4*g. Factor 6\/5*j**o + 0*j + 2\/5*j**3 + 0.\nAnswer: 2*j**2*(j + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 479*g**6\/60 - 1790*g**3\/3 + 455*g**2. What is the first derivative of y(t) wrt t?\nAnswer: 2874*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/10)\/(3\/5). Solve -2 = -k + u*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2053 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + h)*(-6*h + 2*h + 2*h) + 806*h**2 + 798*h**2 - 2392*h**2 + 1437*h + 797*h**2 + 228*h.\nAnswer: 7*h**2 + 1665*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/((z*z*z**7*z*z)\/z))\/z)**(-2\/29)*(z*z\/(((z\/((z\/z**(-4))\/z*z))\/z)\/z))**(-6\/5) assuming z is positive.\nAnswer: z**(-1302\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.18374 + -1.18374. Let q = 210 - 1474\/7. What is the nearest to m in 3, 2\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 49 = -8*b. Let w = -45 + b. Find the third derivative of 8*q**w - 7*q**4 + 21*q**2 - 3*q**4 - 6*q**4 wrt q.\nAnswer: -192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -17*g - 85. Let s be k(-5). Suppose -3*r = 2*r. Suppose -6 + r = -3*p. Solve -p*y + y - 3 = s for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -463.3 - -472.4. Let w = 0.26 + 1.64. Let j = -0.9 + w. Which is smaller: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1654.8 - 1661.8. Which is the smallest value? (a) 0 (b) -2\/25 (c) 0.4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from {x: 1, a: 4, o: 6, l: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399334 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1102 is divided by 228?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(396) + sqrt(396) + (sqrt(396) - -2*sqrt(396)*6))*-4 + 4*(5 + (sqrt(396) - (sqrt(396) + 0))))**2.\nAnswer: -13680*sqrt(11) + 1425961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8501*v - 305685 = -10953*v + 83395 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/24*-4*1\/(-2). What is the units digit of (-1 + (-4466)\/(-6))\/((-2)\/f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00147234 rounded to 5 decimal places?\nAnswer: -0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5738700 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 152 - 156 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 2*x + 20 = 0, 0 = 9*j - 12*j + 4*x - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnhnnyw. Give prob of sequence yn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -48427289 and -137?\nAnswer: 48427152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -9. Let r(z) = 7*z**2 + 2*z - 5. Let p(w) = -w**2 - w + 1. Determine q*r(t) + 5*p(t).\nAnswer: 2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1090*s + 10. Let a(k) = -544*k - 4. Determine -7*a(m) - 3*p(m).\nAnswer: 538*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 357652 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.78 - 1.668. Let d = 2 - i. Let f = d - 0. What is f rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1144505 (base 6) to base 13.\nAnswer: 217c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*y + 4, -3*t + 45 = -y. Solve -2*q - t = 4*h, 4*q + 0*h - 3*h = -10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 4*u**2 - 18*u - 27. Let b be g(-3). What is the greatest common factor of b and 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100011 + -1010110?\nAnswer: -110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 divided by -18.\nAnswer: -55\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {b: 4, d: 3, l: 6}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-6 + -1 - -7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 times -0.147394?\nAnswer: -0.02063516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50272538?\nAnswer: 2, 3571, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 35 (c) -0.887 (d) 8 (e) 0.05 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2592\/80)\/(-18))\/((-2)\/(-2)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/3*(2295\/(-850))\/(6\/(-10)). Solve -16*m - v = -20*m - 21, p = -m + v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3151, -6301, -9451?\nAnswer: -12601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48901 - -156901. What is p rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 3852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 13 + 11 = 0. Let o(x) = -2*x**2 - 2*x - 2*x**2 + z + x**3 - 4*x**2 + 8*x. Let b be o(7). Let c(y) = 6*y**2 - y + 1. Determine c(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 5. Let z be j(8). Suppose -8 = -5*t - 3*w - 21, 2*w = z*t + 4. Let v = t + 11. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120 + 124. Solve -4*b = v*s, -5*b + s = -0*b + 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*b + 173 - 1485. Let c = 81 - b. Sort -4, c, -12 in increasing order.\nAnswer: -12, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506*b + 37*b - 300*b + 387*b + 526*b.\nAnswer: 1156*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.08757 times -5\nAnswer: -0.43785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19 and 1.32.\nAnswer: -17.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 + 110022?\nAnswer: 102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -3 - (-2 - -2 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o**5 + 96*o**4 + 255*o**3 - 60*o**2 - 444*o + 144 = 0 for o.\nAnswer: -6, -4, -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3 - 6 + 2 + 2 + 4*g. Give l(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30933809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**6\/120 + p**4\/6 + p**3\/2 + 10*p**2. Let v be w(-2). Solve -v*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - 3*j**2 + 6*j**2)*((3*j - j + j)*(-1 + 1 + 5*j**2) - 2*j**3 - j**3 + 2*j**3).\nAnswer: 28*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(300) + sqrt(300) + 1 - ((sqrt(243) - -1*sqrt(243)) + -1).\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -7) + -7 + 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -2649.\nAnswer: -2\/883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.008 and -28850.\nAnswer: -28850.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/461 - 879\/19823. Let t = 4351633\/215 + -20240. Let j = m - t. Which is smaller: -0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -380 divided by 2?\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7900 - 110511\/14. Let c = 34\/7 - a. Let w = 3 + -5. Which is smaller: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 1, -3\/11, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*u + 3*u - 7*u)*(-3 + 7 - 2) + 0*u + 3*u - u)*(-104*u**3 + 8285 - 8285).\nAnswer: 208*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255622?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a + 69?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65039 + 65035. Let h = 0.6 - 0.4. Which is the smallest value? (a) h (b) 2 (c) t (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013707 rounded to five dps?\nAnswer: -0.01371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19362?\nAnswer: 2, 3, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + c?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85183 by 387.\nAnswer: 1981\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/16 of a minute?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*j**2 - 4)*(3 - 4 - 2 + (-3 + 0 + 2)*(-6 + 9 - 12) + 1 + 2 - 1)*(-9*j - 8*j + 6*j).\nAnswer: 176*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 187, -9?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -111010001101001?\nAnswer: 111010001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2 - 21*n + 24. Let a(o) = -3*o**2 - 18*o + 23. Give -5*a(m) + 4*f(m).\nAnswer: 3*m**2 + 6*m - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 3*j**2 + j - 8. Let h be b(-6). Which is bigger: h or 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/48)\/(14\/12 + -1). What is the nearest to 0.1 in -1\/5, k, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 != 103\/136405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -16, 12*u = 14*u + 5*w + 2. Solve -8*a + 25 - u = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27743, -27646, -27485, -27254, -26947, -26558, -26081, -25510?\nAnswer: -24839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-2 - 2 + 3)*(0*r + 2*r - 4*r) + 0*r + r - 2*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyffc. Give prob of sequence cf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2432224 (base 5) to base 10\nAnswer: 45939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27396.\nAnswer: 2, 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 5:10 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 15*d - 49*d = -168. Let j(h) = 5*h**2 - 2*h - 3. What is the smallest common multiple of d and j(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8040320.\nAnswer: 2, 5, 17, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -58\/297417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1\/(-4) - 351\/486.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 79 + 0*k + 0*k**2 + 2\/3*k**3. Let x(t) = -155*t**2. Determine o(x(m)).\nAnswer: 48050*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606 is divided by (-10)\/(-20) + (3016\/16 - -9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p + 30 = 18*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 33*p**2 - 45*p - 732. Calculate the remainder when f(-23) is divided by 214.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 8) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o - 17. Let z be v(-14). List the prime factors of z + 1 - (-9 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -12. Let z(w) = -9*w**2. Let p(y) = y**2. Give s*z(d) + 12*p(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7165 (base 10) in base 14?\nAnswer: 287b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 - 75.2. Let d = z + -4.6. Let i = 74 + -297\/4. Put 0.4, d, i, 4 in decreasing order.\nAnswer: 4, 0.4, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 7 = 2*j, 148*j - 150*j + 8 = -2*u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 612040 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -73 - 10*w - 10*w + 6 + 10*w. Calculate the smallest common multiple of f(-7) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.3? (a) 4 (b) 0.3 (c) -1\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32309*l**4 - 5*l**3 - 2013211*l**2.\nAnswer: 775416*l - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**4)**25*(l*l**(-2))**(4\/15))**(9\/2))**(-40) assuming l is positive.\nAnswer: l**(-17952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 11:40 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 3\/11, 32\/9, -0.2, -5?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1066404 divided by -266601.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*k - 4074. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25\/3 in 2\/5, -0.62, -1, -0.4, -36\/7?\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {s: 16, x: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2867\/1316)\/((-46)\/1288)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 3*w)*(2 + 2 + 1).\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*s + 284*s - 1680 = -63*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 g, and 1 j when three letters picked without replacement from lljgzghghgqllj.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(((n*n**0)\/n)\/n)*n)**(32\/7)*n**(1\/4)*n*n**(-4))\/((n*n**0)**22)**(-2\/7) assuming n is positive.\nAnswer: n**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(0*w**2 - 14*w**2 + 3*w**2) - w**2 - 2*w + 2*w.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g = -18. Let q = g + 5. Let w be q\/2*(-12)\/8. Solve 2*l = l + w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 - -70.72. Let a = y - 0.075. Let g = -1.076 + a. What is g rounded to 2 decimal places?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)\/f)**(-36)*(f**(3\/7))**(-10) assuming f is positive.\nAnswer: f**(1230\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**3\/6 - 11*a. Let t(q) = 5*q. What is -6*t(v) + 34*x(v)?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 2. Suppose 4*d = -8, 0 = z + z + 5*d + 10. Let x(v) = v**2 - 10*v - 11. Let y be x(11). Suppose z = -y*o - o. Give b(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56314 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41\/70, -0.31, -2\/3, 1\/2.\nAnswer: -2\/3, -0.31, 1\/2, 41\/70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -38. Let s = b + 9.4. What is the third smallest value in s, -3\/5, -0.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -5*d, 4*d - 6 = r + 15 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -334090\/9 or -37121?\nAnswer: -37121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 2*x = 418. Solve x = -5*l - 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i + 78. Let b = 307 - 320. Let w be k(b). Solve 6*f + w = -11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 129\/8, -2, 0.5, -5, 1033?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1189708\/102641 - -1\/18662. Which is bigger: i or -13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 2*h - 2*h + 2*h**2 + 1 - 1 + (3 - 3 + h)*(0 + 2*h + 0) + 2*h**2 - 3 + 3 + h + 3*h**2 - h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 139, 3, 4 in descending order.\nAnswer: 139, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -675797, -2703329, -6082603, -10813619, -16896377, -24330877, -33117119?\n\"Answer: -675871*g**2 + 81*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51988 divided by 2.\nAnswer: 25994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -36*c + 225. What is r(8)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 24*z + 2. Let i(v) = -170 + 22*v - 32*v + 170. What is w(i(l))?\nAnswer: -240*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2513 - 1193 = 0. Let j be (-60)\/z - 57\/(-11). Solve 3 = 2*p - j*p, 0 = -3*m - p - 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 15*f - 413. Calculate p(28).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -431, -978, -1735, -2696, -3855, -5206, -6743?\nAnswer: -8460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 24 = 3*o, -8 = -2*o - v + 3. Let l be 1\/(-1*o\/(-64)). Solve 2*u - l = -y - 2*u, -3*y = -4*u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*d, 267 = 17*y - 15*y + 3*d. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 - 2*h**2 + 3*h**2 + 3*h**2 - 8*h**2 - 10*h**2 + 2*h**2 - 2*h + 2*h + (-1 + 3 + 0)*(h**2 - 4 + 4).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 106656 and 306.\nAnswer: 5439456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**3 - 3*s**3 - 3*s**5 + (5*s - 4*s + s)*(s**4 + 2*s**4 - 2*s**4) + (0*s + s**2 + 0*s)*(-s**3 - 3*s**3 + 2*s**3).\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69\/(-92))\/((9\/168)\/(-1))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11173 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 + 66 = -5*d - 3*q, -3*q - 85 = -5*d. What is the greatest common factor of d and 430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 28.88896 nanograms?\nAnswer: 0.00000002888896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -715d?\nAnswer: -715e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2114*m + 391*m + 273567 - 40014 = 666*m for m.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.5246 + 0.0046. Let z = -0.6 + -9.4. Let y = z - i. Round y to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -28*x + 2. Is 14 a factor of b(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*z - 64*z + 18*i - 323 = 0, 2*z + i - 16 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**3 + w**2 - w + 4. Let l be u(0). Solve c = 3*a - l*a, -6 = -3*a - c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f - 26. Let d be x(21). Suppose 2*g + 2 = d. Suppose -g*b - 34 = -30*b. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29469805 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*t - 62 + 2. Let x be ((-9)\/63)\/(t\/35). Solve 3*k = -2 - x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 13. Suppose -j*o - 10 = 22. Let g = o + 21. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.333, 1, 5, 4983 in ascending order.\nAnswer: -0.333, 1, 3, 5, 4983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/((p**(2\/5)*p)\/p))**1*p**1\/(p\/((p*p**5\/p)\/p*p)) assuming p is positive.\nAnswer: p**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/((-1)\/(-58)) + -3?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y - 1 + 1 + (28*y - 2*y + 2*y)*(-3 + 6 - 1))*(-3*y + 0*y + 2*y) as w*y**2 + h*y + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 13 + 1. Let a be v + -3*3\/(-9). Suppose a*s + 8 = 28. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + ((-6)\/(-3) - -2). Let z = -7.3 + 7. Which is the biggest value? (a) -4 (b) z (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x + 17*x - 11*x. Let b be g(1). Solve -5 = -c - 3*s, 5 = c + 2*s + b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149357191?\nAnswer: 149357191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 865243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(2744)*-3 + sqrt(2744))*1)\/((6*-2*sqrt(6))\/(sqrt(33)\/sqrt(44))))**2.\nAnswer: 16807\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*p**4 - 2*p + 34 wrt p.\nAnswer: 276*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8234242 or 24702725\/3?\nAnswer: 24702725\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44\/320*6*1680\/1540. Suppose j*b**5 - 21\/5*b**4 - 24\/5*b + 0 + 4*b**2 + 37\/10*b**3 = 0. Calculate b.\nAnswer: -1, 0, 4\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 18 = -0*h - 3*i, 3*i = -2*h - 6. Calculate the greatest common factor of h and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 731864.\nAnswer: 365932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-1)*(-136)\/(-16). Suppose -16*p + g = -13*p. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*z + p + 21 = 0, 4*z = -p + 24. Suppose -156 = -z*s - s. Let m = 57 - s. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1608\/325 - 14559\/3250. What is the common denominator of 76\/45 and d?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 919 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21341 = 26632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 9:26 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 at most -130977\/3028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15100528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 5*z - 9. Let g be p(2). Suppose -3*y + 6 = -3*i - g, 3*i = 4*y - 20. Solve -y*l = 3*w + 5, l + 0*l - 27 = 5*w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: a8 (base 12) to base 16\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.12 + -0.88. Let d = -8.61 + 10. Let r = d + b. Round r to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18620035001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4769317?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, z: 4, i: 12, x: 1}. What is prob of sequence ic?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -335 = -10\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9636)\/(-584)*(-6)\/88.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 5 = -8*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**6\/12 + 2*q**5\/3 - 21*q**2. What is the third derivative of h(x) wrt x?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from oosovoosxoxs.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 590 = -3*p. Calculate the remainder when p is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/15)\/4*(-45)\/9. Solve f + 3*h - 10 = 0, -5*f + t*h + 2*h - 7 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 4*a - 8. Let n(r) = -r**2 - 2. Let m(h) = -2*n(h) + u(h). What is m(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17+101267448\nAnswer: 101267431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**2\/2 - 3. Let r be 4\/(-6) - 13\/((-195)\/10). Let t(y) = r + 2*y**2 - 1 + 1. Determine p(t(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.67661 rounded to two dps?\nAnswer: 2.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -122\/15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 1:10 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 2*c = 35. Let p = 14 - c. Solve 3*l = 0, 0 = -5*j - 3*l + p*l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 2*s = 0, 30 = 2*t - 5*s + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3867 or 228084\/59?\nAnswer: 228084\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15759747 - 4426027 = 134*r. What is the greatest common divisor of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(180)\/sqrt(4))\/(-4*(sqrt(9) + sqrt(27)\/sqrt(3)) + sqrt(9)).\nAnswer: -6*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 78 = k, -5*m - 5*k + 180 = -10*m. Let c = -10 - m. Suppose -5*w = -9*w + 16. Calculate the highest common divisor of w and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468872.\nAnswer: 2, 29, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m + 2\/5*m**5 + 0 + 6\/5*m**3 - 6\/5*m**4 - 2\/5*m**2.\nAnswer: 2*m**2*(m - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Which is the biggest value? (a) 0.4 (b) -2\/15 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/10 + -6*4\/(-60). Let d(k) be the first derivative of -6*k**2 - 6*k + 7*k - w*k + k + 11. Calculate d(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 4*v**2 - 11*v + 5. Calculate j(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51240 and 5490.\nAnswer: 153720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.98751 + -0.01249. What is the fourth biggest value in 7, 3, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303431128 divided by -530474?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/19 - 28*x**2\/19 - 262*x\/19 + 3168\/19.\nAnswer: 2*(x - 16)*(x - 9)*(x + 11)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - a**2 + a - 1. Let k(v) = -7*v**3 - v**2 + 13*v - 4. Let g(u) = k(u) - 6*y(u). List the prime factors of g(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151 + -146. Solve 10 = -k*m - 0*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86.9 - 130. What is i rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 8:19 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087949424 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from {p: 2, r: 1, y: 1, b: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + q - 5. Let t be y(-5). Let d(b) = 2*b**3 - b**2 + 2*b - 1. Let z be d(2). Let k be 5*9\/z*1. Calculate the highest common factor of t and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, -5031, -4.\nAnswer: -5031, -4, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 + 0)*(-8)\/(-10). Suppose -k*n = -99 - 9. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 2*j + 2*j)*(2*j**4 + 2 - 2) - 2*j**5 - 4*j**3 + j**3 + 0*j**3.\nAnswer: -6*j**5 - 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 4, -2691, 1 in ascending order.\nAnswer: -2691, -5, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 342816*n**2 - 9793910295*n + 19586449350.\nAnswer: -3*(n - 57135)**2*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 140958 to the power of 1\/2, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f = 19*f - 2. Let d(x) = -x - 2. Let a be d(-5). Suppose -v = 4*h - 0 + 23, -h + 8 = a*v. Which is greater: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*c**5 + 7*c**4 - 254*c**2 wrt c?\nAnswer: 1500*c**2 + 168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20177 (base 13) to base 10.\nAnswer: 57389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 - 28*z**3 + 28*z**2 + 60*z.\nAnswer: 4*z*(z - 5)*(z - 3)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 - 79*m + 12. Let x(v) = -5*v**2 + 238*v - 34. Determine -17*j(s) - 6*x(s).\nAnswer: -4*s**2 - 85*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 478208, 478471, 478734, 478997, 479260, 479523?\nAnswer: 479786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Solve 419*p - 418*p + 7 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 1:55 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 2, 1\/2, 3\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-142252)\/130 - 2\/13. Let c = -1106 - o. Which is greater: -13 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 10:53 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**17\/(v**(10\/7)*v)*(v\/((v*v\/((v*v**(-5\/3)\/v*v)\/v))\/v)*v*v)**(-4\/29) assuming v is positive.\nAnswer: v**(8846\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 101*u**5\/20 + u**4\/3 - 367*u**3\/2 - u**2\/2 + 703*u. What is the second derivative of h(b) wrt b?\nAnswer: 606*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 6*o - 4, 5*n - 5*o = 90. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/220833 smaller than -295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1284 is divided by 341.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4679*d - 1713*d = 313208 for d.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6) + (-14)\/(-6). Let l be d*(-4)\/12*3. Which is the smallest value? (a) -14 (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1038 - -1048. Let y(w) be the second derivative of -1\/4*w**5 + 0*w**2 - 5\/4*w**4 + 0*w**3 + 0 + s*w. Find the third derivative of y(h) wrt h.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161 (base 11) to base 15\nAnswer: c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5\/7 - 7606*v**4\/7 - 7189438*v**3\/7 + 79823134*v**2\/7 - 174833760*v\/7 - 261838728\/7 = 0. Calculate v.\nAnswer: -1907, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9*(10 - 7)\/9. Solve -f - 3*f = -q + 1, 13 = l*f + 2*q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4784 (b) -4 (c) -23.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 388d (base 14) to base 16.\nAnswer: 26c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 f when three letters picked without replacement from {f: 2, y: 1, x: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2634 a factor of 180824100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 769 + -771. Let i = 5.6 + -6. Which is the closest to i? (a) h (b) 3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003769 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 49 = -4*l, k = -l + 12 - 2. Suppose 2*i = 4*i - 14. Calculate the remainder when l is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 141*p**2 + 8*p + 12. Let g be i(-3). What is g rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeteedeeetedee. What is prob of picking 1 t and 1 e?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 792 - 1916 + 1437*p**2 - 1193 + 0*p + 0*p wrt p?\nAnswer: 2874*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 0 + m + m**2 + 2 - 4*m - 3*m**2 + 3*m**3. Let y be d(2). Solve -s = -4*n - 9, -4*s + y = 3*n - s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 120\/7 + 8\/(-56). Let h(m) = m**2 - 16*m + 20. What are the prime factors of h(a)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -20. Solve 0 = 5*d - c*w + 24, -d + 3*w = -2*w + 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*z + 3 + 69, -5*q + 132 = 4*z. Is z a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, w: 1, a: 2, k: 1}. What is prob of sequence wka?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-5 - (-6 + (0 - 5)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (-8 - (29 + -83))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2328, 2277, 2132, 1845, 1368?\n\"Answer: -8*v**3 + v**2 + 2*v + 2333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28902 divided by 2.\nAnswer: -14451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.04 + -2. Let r = 2 + -2.1. Let o = 0.2 + r. Which is the biggest value? (a) h (b) 1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 126*r - 2. Let s(k) = -129*k**2 - 2*k. Calculate s(m(i)).\nAnswer: -2048004*i**2 + 64764*i - 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*(m\/(m*m**(-2\/29)))\/m))\/(m**(-1\/3)*m)*(m*m**(-2\/3)*m*m*m)**(1\/27))**(-48))**(-49) assuming m is positive.\nAnswer: m**(714224\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*g + 13, -g = 5*q - 2*g - 10. Suppose 2*a = w - 12, -4*w = a - 4*a - 58. Let b = 11 - w. Sort b, q, 2.\nAnswer: b, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -117. Let s = -66 - a. Suppose 0 = -f - d, d + 22 + 15 = 2*f + 13. What is the least common multiple of s and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 35*i - 1. Let c be t(4). Suppose -2*f + 5*f = 5*g + c, 104 = 3*f + 2*g. Differentiate -182*x**2 + f + 87*x**2 + 86*x**2 wrt x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 1493305631.\nAnswer: 1493305630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12218047.\nAnswer: 3433, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - -1)*16\/10. Let d be (-1 + 19)*w\/16. What is the tens digit of (-2724)\/(-108) + (-2)\/d - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 8*f - 31. Suppose -10 = -3*n + f*r + 73, -2*n - 4*r = -26. Let b(g) = -n*g**2 + 10*g**2 + 16*g**2. Let v(c) = 2*c**2. Give b(v(w)).\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-34)\/(-12))*(-170)\/(-425).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**3\/t*t*t\/t**(-1\/30))**(-5\/13))**(-43) assuming t is positive.\nAnswer: t**(6493\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -7*f**3 - 15*f**2 + 19*f + 63. Let y(v) = 3*v**3 + 8*v**2 - 9*v - 32. Let u(p) = 2*j(p) + 5*y(p). What is the remainder when u(-10) is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 28125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.21 and 0.5.\nAnswer: -4.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 947245, 1894491, 2841731, 3788959, 4736169?\n\"Answer: -h**3 + 3*h**2 + 947244*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21210643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 46 = -3*w + 4*w, -4*w = -b - 156. Suppose 16*l - 13*l = -2*c - 4, -5*l + 30 = -4*c. Suppose w = -l*j + 176. What are the prime factors of j?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*o + 1953*o**2 + 30*o - 1953*o**2 + 6*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7718749, -7718750, -7718751, -7718752, -7718753?\nAnswer: -7718754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7342530888 a multiple of 14644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003326451 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54\/90 + 2432\/5.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.563404509 rounded to three decimal places?\nAnswer: -0.563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 41. What is j(37)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.12.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1839 - 153.4161. What is r rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-77700)\/(-126) - (-5)\/(-3). Let m = n - -144. List the prime factors of m.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*sqrt(65)*-2 + -4*(sqrt(65)*1 + sqrt(65)))\/(sqrt(15)\/((sqrt(3) + sqrt(3) + sqrt(15)\/sqrt(5))*5))*-2.\nAnswer: 720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3 + 1383*g**2 - 2754*g = 0. Calculate g.\nAnswer: 0, 2, 459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -3*f - 11, 3*f - 1118643 + 1118664 = -6*c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.001 and 159528.\nAnswer: -159.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -23.98. Let s = -10 + 10.02. Let y = k - s. Sort 0.4, y, 1 in decreasing order.\nAnswer: y, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w**3 + 10*w**2 + 8*w - 27. Let q(j) = 7*j**3 + 11*j**2 + 10*j - 29. Calculate -5*q(i) + 6*r(i).\nAnswer: i**3 + 5*i**2 - 2*i - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4555489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8813, -8654, -8405, -8072, -7661, -7178, -6629?\n\"Answer: -c**3 + 51*c**2 + 13*c - 8876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25 + -4?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3243277199 to 5 dps.\nAnswer: 0.32433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdw when three letters picked without replacement from {a: 2, d: 1, f: 2, m: 1, w: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 309*o - 533*o + 464*o + 212*o to i + h*o and give h.\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*j - 179, -2*c - 3*c = -4*j - 286. Does 24 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 258 and 2923.\nAnswer: 754134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*w + 1036 = 0, -4*w + w = d - 516. Suppose 0 = r + 2*r - d. Suppose -10*s + 12*s = r. Does 44 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1710853 is divided by 286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-108)*((-650)\/(-200) + (-10)\/8)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6700000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22933075317 - -0.015303\nAnswer: 22933075317.015303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*v**4 + 940*v**3 + 2*v**2 + 113486*v.\nAnswer: 240*v**2 + 5640*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 + 120*c**3 - 920*c**2 + 2400*c - 2000.\nAnswer: -5*(c - 10)**2*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 = -l + 21*m, -28079*l = -28082*l + 3*m + 93 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30880 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 7*s**2 + 8*s - 6. Let m be p(7). What is the common denominator of 0 - 2 - m\/45 and 107\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4689 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/5 (b) -1 (c) -1\/80 (d) -17 (e) -3\/251\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1 + 6*x - 4*x - 2 - 3*x. Let z(g) = -2 + 15*g + 15*g - 33*g. Calculate 8*d(j) - 3*z(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6763*m - 1672*m - 11 - 1702*m - 1655*m + 11 - 1671*m.\nAnswer: 63*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94*i**5 - 6*i**4 + 3*i**3 + 4*i**2 + 968*i?\nAnswer: 5640*i**2 - 144*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 106 - 106.01. What is the second smallest value in f, -2\/9, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 11*j - 7. Let k be h(-10). Suppose i - 90 = -a, a + k*i - 78 = -2*i. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 55.4 (b) -617 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105824846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-1)*-43 + -1. Let r = d - 10. Let o = -13 + r. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1615 and -2009.\nAnswer: -2008.8385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -3, -222*u = -204*u - 4*i - 30 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 2, 31, 86, 179, 322, 527, 806?\nAnswer: 1171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**5 - 14724*i**4 + 12770048*i**3 + 1435457152*i**2 + 37269433344*i - 38717645824 = 0. Calculate i.\nAnswer: -52, 1, 1892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -6831.86 to the nearest one hundred.\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -12, -757, -29 in decreasing order.\nAnswer: 2, -1, -12, -29, -757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2 - 6430*v - 1143792 = 0. Calculate v.\nAnswer: -169, 3384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1 (b) -3 (c) -15\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-30)\/(-18)*(-1 + -44) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.169 - 0.069. Do -683 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 8*s**2 - 17*s + 19. Calculate z(-6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369930*i - 369934*i = -3*y - 30, -i + 5*y + 33 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185811 is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76*t**4 + 1939346*t + 408*t**3 - 1938354*t - 944*t**2 - 113 + 4*t**5 - 271.\nAnswer: 4*(t - 12)*(t - 2)**3*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 6:39 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32924537 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 22*x**2 - 2*x - 2. Let p(c) = c**3 + 11*c**2 - 13*c - 13. Let j be 3\/(-9)*2*18. Let d be p(j). What is the units digit of s(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.944 - 0.056. Which is the closest to -0.02? (a) k (b) 5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -8. Find the third derivative of -26*v - 2*v**2 + 26*v + y*v**4 wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65972905?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 131 - -1102481?\nAnswer: 1102612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 3*s + 4*s)*(384*s - 530 + 530)*(-2*s - 1 + 1)*(-4*s + 4*s + 2*s).\nAnswer: -7680*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1696*t - 845*t - 869*t - 6 in the form u*t + k and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -910*i*u**3 + 2*i - 23547*u**3 with respect to i.\nAnswer: -910*u**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*n + 313968 = 0, 0 = 3*a + 5*n - 8919 - 226555. Let p = a - 20493. Round p to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**3 - a + 1. Let o(y) = -3 - 2 + 7 - 10*y + 15*y - 7*y + 14*y**3. What is -8*n(h) + 3*o(h)?\nAnswer: 2*h**3 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**4\/54 + 8*s**3\/9 + 16*s**2 - 13*s + 24. Let m(j) be the first derivative of g(j). Let m(p) = 0. What is p?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**5\/30 - 5*n**3\/6 - 32*n**2. Let s(o) = 3*o**2 - 9. Determine 5*l(y) - 3*s(y).\nAnswer: y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 30 = 16*u. Are 5 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*z - 88 - 36 = -2*n + 12 - 22, -21 = -4*n - 2*z - z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12512 + -150037\/12. What is the common denominator of p and 2 - ((-93)\/(-54))\/(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.4 + 1.7. Let r = 2.3 - y. Let o = r + -2. Which is the second smallest value? (a) -2 (b) 1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3045, -3022, -2987, -2934, -2857, -2750, -2607?\n\"Answer: c**3 + 16*c - 3062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 4. Suppose -2*i - 2*i + 1 = -3*l, 3*l = q*i. Let r = -6315.8 + 6316. Which is the smallest value? (a) l (b) -3 (c) r (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 69 - 11. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-3)\/9) + (2 - (-12)\/(-9)). Factor v*k**3 + 16\/3*k**2 + 0*k - 2\/3*k**4 - 32\/3.\nAnswer: -2*(k - 2)**2*(k + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 + 2*w. Let y be t(4). Let a be (2 + -4)*y\/6. Suppose 4*d = a + 16. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*-2*sqrt(112))**2 - sqrt(112)) + -3)*-6.\nAnswer: -96750 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Let k(x) = -145*x - 4. Let g(h) = -36*h - 1. Calculate 26*g(b) - 6*k(b).\nAnswer: -66*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 211, 277, 333, 373, 391, 381, 337?\n\"Answer: -n**3 + n**2 + 70*n + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o**3 + 219*o**2 + 90*o = 0. What is o?\nAnswer: -2\/5, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/49)\/(110\/(-4620))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 43*a - 55. Let r(b) = 2. Let x(y) = d(y) - 6*r(y). What is the units digit of x(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**2*c))**15)**(1\/4) assuming c is positive.\nAnswer: c**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111 + -156. Let x = -85 - l. Let d be 6\/x + 4\/16. Which is bigger: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/560 and -101\/3920.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -601497 divided by 5\nAnswer: -601497\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4020394?\nAnswer: 2, 7, 211, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -337*q + 3031 - 8423 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 42 + 7 = 0. Calculate the remainder when 12 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.098 + 3.098. Let t = 11 + -10. Let d = -3.4 + 0.4. Which is the nearest to d? (a) t (b) 5\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-1\/3)*r*r*(r**(-10)\/r)\/r*r**7\/(r*r\/(r\/(r**(1\/2)*r*r))) assuming r is positive.\nAnswer: r**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 7:50 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*p = 64*p + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73247 + -8?\nAnswer: 73238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 + (-145)\/15)*(-108)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 189372, 757515, 1704428, 3030111, 4734564, 6817787?\nAnswer: 9279780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*p + 160*p - 126*p**2 + 126*p**2 - 12166*p**3 + 12160*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 4*m**2 - 4*m + 3. Let u be (0 - 0) + (4 - -1). Let d be i(u). Let b = d - 1. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293, 108, 777, 1714, 2919, 4392?\nAnswer: 6133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h - 22*h = 0. Solve 3*o = -h*o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130 - -908\/7. Let p = -13\/28 + f. What is the closest to -0.2 in 2\/5, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 399 and 18205971.\nAnswer: 18205971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4)\/m*m)**3*(m**(1\/21))**(1\/4) assuming m is positive.\nAnswer: m**(16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, l: 6}. Give prob of sequence clcc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -348918*2\nAnswer: -697836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 5, 748, 7, -7, -4, 4 in ascending order.\nAnswer: -17, -7, -4, 4, 5, 7, 748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*(a*a\/a**(2\/5)*a)\/a)\/a)\/a)\/(a\/a**(3\/4)))\/((a*a\/a**(-1\/9))\/(a*(a**1*a*a)\/a*a))*(a**(4\/7)*a**(1\/3))**(-45) assuming a is positive.\nAnswer: a**(-48479\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 + -0.39. Let p = -3.1 - -3. Let f(v) = -5*v**3 - v + 1. Let d be f(1). What is the nearest to p in y, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.8 + -0.8. Let o = 8.9 - v. Let d = 0.3 - 0.6. Sort 1, o, d in increasing order.\nAnswer: d, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**4\/6 - f**3\/2 - f**2\/2 + f. Let q(g) be the first derivative of 14 + 5\/3*g**3 - 2*g - 7\/2*g**2. What is -9*l(u) + 4*q(u)?\nAnswer: 2*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 - 19*y**2 + 17*y + 234. Calculate t(-10).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 5*p = 51. Let s = 27 + p. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2297 - -2268. Is -77 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 10*g + 84 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -259887*m**3 + 671704*m wrt m?\nAnswer: -1559322*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/42 and 53\/20916?\nAnswer: 20916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3197107 + 5?\nAnswer: 3197112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1*sqrt(245))**2 + 4*sqrt(20)\/sqrt(4))*3.\nAnswer: 60*sqrt(5) + 3675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 5*z**4\/4 + z**3\/3 - z**2 - 197*z - 1. Let t(b) = -676*b**2 - 91*b + 91. Calculate 91*f(c) + 2*t(c).\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 17. Let l(r) = 4*r**2 - 2*r**2 + f - 8. Let b(p) = p**2 + p**2 - 4*p**2. Give b(l(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -49, -3, 21, -2, -1.3 in descending order.\nAnswer: 21, 7, -1.3, -2, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(28)\/sqrt(4) - sqrt(567))**2 + 4.\nAnswer: 64*sqrt(7) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*q + 7375*q + 615822 + 2994 = 0 for q.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 265*i**2 + 2486 - 2484 + 4*i**2.\nAnswer: -261*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 17 - 3. Suppose -188 = 2*j + a - 834, -2*j + 654 = t*a. What is the units digit of 4\/6 - j\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 28 = -5*w, 96*w - 4*b + 14 = 98*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51754 is divided by 7280.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21704046317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 215*s**2 - 192*s**2 - 3*s + 405*s**2 - 3*s**4 to the form w*s**3 + i*s**2 + o + m*s**4 + v*s and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**3\/5 + 21*t**2\/10 + 73. Factor v(w).\nAnswer: 3*w*(w + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8 = -0*j. Let u be j\/6 + 41\/3. Let n be 9*1\/3*2. Solve 5*y - u - n = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 922 and -6.6053214.\nAnswer: 915.3946786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*(6*(0 + -1*sqrt(684) + -1))**2 + -5.\nAnswer: 5184*sqrt(19) + 295915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5092.3 to the nearest 100.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9811077*c - 10782460?\nAnswer: -9811077","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 373100 and 325?\nAnswer: 373100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**2\/a*a*a*((a**(-9)\/a*a*a)\/a)\/a*a*a**(-5\/6)*a**(-2\/9) assuming a is positive.\nAnswer: a**(-127\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 338 = 367. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20142015)\/27)\/5 + (-12)\/(-108). What is k rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a + 244 - 14*a - 227)*(-a**2 - a - 2*a**2 + 4*a**2 + (1 - 1 - 2*a)*(a - 4*a + a)) as x*a + r*a**2 + j + t*a**3 and give r.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m - 23. Let c be t(-5). Let l = 81 + c. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/11)\/(-1*2). Suppose 0 = -h*q + q - 14. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2273.6 and 51.\nAnswer: -2222.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 75c824 (base 13) in base 12?\nAnswer: b16942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 5*y - 8. Give c(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**13)\/(r\/(r*r**(6\/11))*r)*r*r**(-8\/9)*r*r**(-26)\/r assuming r is positive.\nAnswer: r**(-1123\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -15.2. Let u = 2.155 - s. Let f = u + -0.016. What is f rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/9 - 454*l**3\/9 - 25990*l**2\/9 - 25538*l\/9.\nAnswer: -2*l*(l + 1)*(l + 113)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (27\/9)\/((-10)\/((-74937300)\/(-9))). Round z to the nearest 10000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/2 + 639*d**2\/2 + 16110*d + 30954.\nAnswer: 3*(d + 2)*(d + 77)*(d + 134)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x + 15 - 15)*(-4*x**3 - 6*x**2 + 9*x**2 - 5*x**2 + x**4).\nAnswer: 7*x**5 - 28*x**4 - 14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ieqn when four letters picked without replacement from {i: 2, q: 3, h: 3, e: 1, n: 3, k: 2}.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-6 + 0 + 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j. Let t(i) be the second derivative of -i**6\/120 + i**3 - 41*i. Let s(c) be the second derivative of t(c). Calculate z(s(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-10) + 1687\/(-5). Let o = 25\/23 + -46771\/138. Let h = s - o. Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24101 - 1901. Round w to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (0 - (-8 + -6 - -7)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -394.00000023 + 394. Round u to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 4*c + 8, -108*m + 8 = -53*m - 54*m - 4*c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 0.022, 10, -41, 29?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**6\/120 + t**5\/4 + 3*t**4\/4 - 3*t**3 + 1127*t**2. Calculate k(16).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 1. Let m = 183 + -288. Let t be 39\/7 - (-60)\/m. Determine l(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - w + 149. Let i be q(0). Let t = i + -103. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001831846 rounded to 7 dps?\nAnswer: 0.0001832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -109\/1872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -220, 8, -152 in increasing order.\nAnswer: -220, -152, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.03, -67, -0.2, 49346?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 0 + 1\/15*u**5 + 0*u + 0*u**3 + 2*u**2 + 0*u**4 + 1\/60*u**6. What is the third derivative of y(r) wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j - 7. Let s(w) be the third derivative of -7*w**4\/12 - 37*w**3\/6 + w**2 - 27. Let p(c) = -11*f(c) + 2*s(c). Calculate p(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x - 268. What is the common denominator of -1 - (0 - 63\/30) and (-2 - -2) + x\/44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 2*c**2 - 6*c - 4. Let i be b(-3). Put 0.5, -4, i, 4 in descending order.\nAnswer: i, 4, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2936)\/40370)\/((-8)\/10 + 2).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (14 - 36) + 43 + -128 + -2?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 66 - 221. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**(-10)*o)*o*o**(1\/13) assuming o is positive.\nAnswer: o**(144\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 699940 (base 14) to base 4.\nAnswer: 31232231210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3031.000002092 + 3031. What is n rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 376 + 319 = 0. What is the remainder when p is divided by 19\/1 - (10 + (-10 - (-25)\/5))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 5*g**3\/9 - 305*g**2\/6 - 320*g + 1786. Determine l, given that u(l) = 0.\nAnswer: -3, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*c**6 + 52159*c**4*j**3 - c**2*j**2 + 3*c*j**3 - 3*j**3 + 9*j**2 + 2*j wrt c?\nAnswer: -2880*c**3 + 1251816*c*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1343030132 (base 5) to base 16\nAnswer: 353254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/6 + 0 + -3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 9:35 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 22*o - 8. What is the units digit of g(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -60901*s**2. Let n(z) = 3*z. Determine t(n(u)).\nAnswer: -548109*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiii. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -15 (b) -1 (c) 3\/2 (d) -4 (e) -3 (f) 2 (g) 605\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613 <= 1665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1758267 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 925 and 10.\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319 = -134*o - 49 + 132 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.592 rounded to two dps?\nAnswer: 2.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*u**2 + 232 + 14*u**4 - 33*u - 2*u**5 - 38*u**3 - 224 + u.\nAnswer: -2*(u - 2)**2*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5226635*r**5 + 2*r**4 + 6*r**3 + 229574771*r**2?\nAnswer: 313598100*r**2 + 48*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, 3, -4 in descending order.\nAnswer: 8, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 33. Let y = h - -25. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 6 = 4*p. Suppose -h - 2*h + p*o + 24 = 0, 0 = 5*h + o - 12. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111642 is divided by 3451?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g = -4*g - 8. Which is the nearest to g? (a) -3 (b) 3 (c) -4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1228912 (base 12) to base 13\nAnswer: -96c533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-6))\/((-9)\/(-54)). Let u be (3 + 3)\/j - -3. Is u equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1.4. Let l = -1 + s. Let p = -20 - -25. Which is the third smallest value? (a) l (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1052382 is divided by 481.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000289336 to 7 decimal places.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1298 + 2*j**2 - 3*j - 1287 + 4*j in the form q*j + b + w*j**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -24, -59, -128, -243, -416, -659?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*z + z = -34, -5*n + 5*z + 60 = 0. Suppose -h - n = -5*w + 16, -4*w - h + 15 = 0. What is the least common multiple of 13 and w?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d + 10. Let y be q(-5). Calculate the highest common factor of y and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/3641 + -7684\/731841. Let t be 44\/66*(2 - -4). Suppose -18*o - 14 = t. Is o less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + -6 + (-43 - (48 + -92)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*d - 64*d - 166*d + 17*d to the form m + h*d and give h.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 - 5.5. Suppose 2*b + 2 = 12, -5*b = -2*h - 17. Let x be 4\/8 - 2\/h. What is the closest to -0.2 in r, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2142 - -4?\nAnswer: -2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46770 is divided by 266?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578 is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-49) + (-145)\/350. Sort -3, -0.1, o.\nAnswer: -3, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 552476 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.01799 hours in seconds?\nAnswer: 288064.764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 + a**3 - 14 - 7 - 291*a**2 - a to the form o*a**2 + w + l*a + x*a**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-2240126.5\nAnswer: 224012.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 4*n + 46 = 0, 1025 = -4*d + 2*n + 983 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -932, -898, -870, -872, -928?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 10:13 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2425923195?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**5\/5 + 2064*i**4\/5 + 1957*i**3\/5 - 218382*i**2\/5 + 610456*i\/5 - 396096\/5 = 0.\nAnswer: -2063, -12, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, -10, 17, -1.\nAnswer: -10, -1, 17, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40854 is divided by 3974.\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 18*d - 13. What is h(17)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m + 2*m**3 - 3*m**2 + 3*m. Suppose 1 + 5 = 2*g - y, 2*y = -2*g. List the prime factors of o(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 7:07 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2042596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 221*q*s**3 + 385*q*s + q - s**3 + 14897*s**2 + 15*s - 1 wrt q?\nAnswer: 221*s**3 + 385*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -719 + 31 = -16*g. Let r = g - -208. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l*p**2*y**3 + 210085*l*p*y**3 + l*p*y + 2*l*p - 1029890*p**2 - p wrt p?\nAnswer: 4*l*y**3 - 2059780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 6*s + 3*s + 21 = 0, 5*s = -10. Let o = -10 + t. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {a: 4, j: 1, g: 1, v: 1, k: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x**2 + 0*x**2 - 5*x**2 + 5*x**2 - 2 - 5*x**2. Calculate v(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 5)*(-42*x**4 - 12*x**4 - 82*x**4) in the form j*x**4 + o + i*x + r*x**3 + n*x**2 and give j.\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1.8. Let u = -1\/170 - 212\/85. Is u at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1682526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1740 and 44.\nAnswer: 19140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*(-2 + 4))\/(8\/(-88)). Suppose 36 = -28*w + v*w. Which is the biggest value? (a) 0 (b) w (c) 5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12556 is divided by (140\/(-60) + 2)\/((-1)\/273)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310416 + 310411 + 2*q**2 - q**2.\nAnswer: q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1419 + 1437. Suppose 3*z = -z + 448. Calculate the least common multiple of n and z.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - d + 1. Let f(p) = -3*p**2 + 2*p - 2. Let v be (6\/8)\/((189\/(-72))\/(-7)). Calculate v*w(t) + f(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48985 - 5132. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64.6 + -65. Which is the fourth biggest value? (a) 5 (b) n (c) -2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 24*n**2 + 34*n + 7. Is 14 a factor of p(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52694 or -8694502\/165?\nAnswer: -52694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 - 13. Let y = s - -293\/4. Suppose 1\/4*o - y*o**2 + 0 = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**5 - 305073*b**4 + 7755031773*b**3 + 38792854545*b**2 - 255974628672*b + 209427047424 = 0.\nAnswer: -9, 1, 3, 50848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 23420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (70*116\/22330)\/((-6)\/154)?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 6, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10098022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 48. Suppose -5*i = -s - 21, 0 = -13*i + 16*i - 2*s - k. Solve 2*j = -0*j - 2*r + 18, -12 = -i*j + 2*r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32372217209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-7080)*59)\/((-21)\/(-2))\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 28 = -5*z, 4*v + 4*z + 12 - 44 = 0. Solve v*o = 2*o + 4, 4*l = -2*o + 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**7\/42 - l**3\/3 + 6*l. What is the second derivative of y(k) wrt k?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**5\/60 + 7*u**4\/24 + u**3\/3 + 97*u**2 - 3*u - 18. Let h(c) be the first derivative of z(c). Give h(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 + 5713004*u - 2.\nAnswer: 5713004*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -863 * -663.\nAnswer: 572169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 2, -0.2, 0.2, 8.9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 549079 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = b - 24, -3*a - 23*b + 31 = -24*b for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 3*j + 44. Calculate o(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 375*j**2 - 564*j**2 - 396*j**3 - 1044*j**2 - 552*j**2 wrt j.\nAnswer: -2376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.392 + -1.392. Let o = 2\/39 + 4\/39. What is the closest to 1\/2 in o, x, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 + 6701055025*p**2 - 6701055025*p**2.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 13 + 7 = 0. Suppose -3*n - 2*t + 37 = 0, 3*t - 33 = -l*n + n. Suppose -n = 5*w, v + 0*v - 16 = 2*w. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 2*y. Suppose -3*c + 15 = -y*c. Let m(i) = -1 - 6*i**2 - 2*i + 2*i**2 + c*i**2. Determine m(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43210.\nAnswer: 2, 5, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u - 3691*u**2 - 3*u - 4*u.\nAnswer: -3691*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y - 5. Let a(j) = j + 2*j**2 + 0*j**2 + 1 + j**2 - 4*j**2. Let k(i) = -3*a(i) - f(i). Let k(r) = 0. What is r?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 6*p + 3. Give m(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 - 82*g - 42. Let t be v(21). Solve -3*h + 3*r - 3 = 0, t*h = 2*h - r + 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 14) to base 2.\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -2. Let x be -3*4\/(-9)*g. Let j(q) = 4*q**2 + 5. Let t(v) = -v**2 - 1. Let s(b) = x*j(b) - 18*t(b). What is the derivative of s(z) wrt z?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17229056 and 60788.\nAnswer: 120603392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60 or 31096\/531?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 5*h + 56789 - 156809, -5*v + 2*h = -99992. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -157 - -4?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9134*r + 8966*r - 2856 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 222473 and 2274.\nAnswer: 1334838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8280\/9315)\/((-4)\/(-144))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -768696, 26, 17 in ascending order.\nAnswer: -768696, 17, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = a, -2*a = -0*i - i - 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - (sqrt(242)\/sqrt(11)*-3 - sqrt(22)))\/sqrt(2)*-3.\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 42*n**2 - 3289*n + 7425. Determine o(76).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 8*i**2 + 7*i + 6. Let f be q(-4). Suppose -627 - 948 = -15*p. Is f smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6 - 2\/(-6). Suppose -5*m + 20 = -5*o, 1 = -5*m + 21. Solve o = -2*a - w + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605418509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -21.2 and 1.04.\nAnswer: -20.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 998085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143*l**2 + 22*l**3 - 117*l**2 - 2*l**4 - 2*l + 263*l**2 to n*l + g*l**3 + h*l**4 + a + r*l**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 + 200\/32 + 1\/(-4). Which is the biggest value? (a) k (b) 0.47 (c) -0.5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -580573 + 1161145\/2. Let u be -1 + 1 + 2\/(-45). Which is the third biggest value? (a) k (b) -5 (c) u (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**4\/12 - 36*z. Suppose -5*w + 49 + 26 = 0. Let y be 4\/(-10) - (-36)\/w. Calculate d(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 39. Calculate q(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -69877a (base 12) to base 10\nAnswer: -1694542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502981 is divided by 167390?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5842854427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 4 - 3) + (24 - 20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(245) + -5 - (sqrt(245) - (sqrt(245)*2 + -4)))*-1.\nAnswer: -14*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 + 144*i. Let w(d) = 22*d**2. Calculate l(w(v)).\nAnswer: -968*v**4 + 3168*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 4*j = 2, -10438*h + 10442*h + 2*j = 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1\/2 (c) -150 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 157596 and 621.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -8 + 4 + 0 - 16 - 8*u. Let y be s(-10). Suppose 149 = 4*f + 2*p + 53, -2*f + y = 4*p. What is the highest common factor of f and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -0.004.\nAnswer: -2.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 3*f - 2*f - 348, -s + f = -92. Suppose 2*h - s = -10. Suppose 5*c - 57 = 3*m, m + 10 = 5*c - h. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 3 + -5 - -27) + 6 - (2 - 0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -4211113403 (base 5) in base 10?\nAnswer: -8691728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 5\/6*y**3 - 1\/2*y**2 + 0 + 2*y. What is v(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174 - 95. Suppose 8*r - 36 = 36. Calculate the remainder when w is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 6:40 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10527 = -14*i + 1317. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4072*d**3 + 30524*d**2 - 120*d = 0 for d.\nAnswer: -15\/2, 0, 2\/509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258938771?\nAnswer: 7, 13, 2845481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 181, 7, -7 in descending order.\nAnswer: 181, 7, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + u**2 - 2*u + 1. Let k be a(1). Let j = -6 + 8. Let c be -1 - k - (j - 7). Solve 3*g = 14 - c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 2597353*n - 2597353. Calculate i(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/(-2))\/(((-5)\/(-16030))\/1).\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353214 divided by -558?\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135 + 138. Solve -s + 18 = -g*s + 5*d, 0 = -s + 5*d - 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29\/2 - 13. What is the third biggest value in -4, 8, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + 3*y**3 - 2*y**5)*(5 - 4 - 3) - 156*y**2 - 24*y**5 + 156*y**2.\nAnswer: -20*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 5:09 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 98 - 38. Is (-1328)\/d + (-1)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3169*i*l**2 - 40108*i - 138*l**2 - 17 wrt l?\nAnswer: -6338*i*l - 276*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 7*s. Let d be p(-6). Let z be (2\/6)\/((-2)\/d). Let l be 1\/z + 4\/4. Solve -5*i + 5*m = 5, l = -3*i - m + 3*m - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.17 - 0.0330614421671.\nAnswer: 5.1369385578329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/(((-3)\/(-45))\/((-192)\/144)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-35))\/((-707)\/(-7070))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(147) + 1 + -1)**2.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13608146707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-9 - -1)\/2. Let t = 13 + d. Is 13 a factor of t\/(-6) + (-122)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u + 0*u - 3*u + (-1 + 2 + 2)*(165*u - 277 + 277) + 7*u - 2*u - 3*u + 2 + u - 2 to d*u + r and give d.\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 100\/55 + 4\/22. Suppose 0 = -s*n + 8*n - 18. Let v(q) = 4*q - 4. Calculate v(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 0.1 (c) -20 (d) -0.393\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 4*x + 7. Let z be r(-5). Suppose -3*w = z*w + 5, 0 = 2*f - 5*w - 27. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 255 - 255. Which is smaller: -452 or y?\nAnswer: -452","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 1. Let q = t - -5. Suppose 63 = q*p + p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1920749 is divided by 959583.\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from {j: 5, a: 13}.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*o - 31 = 0, -18*q + 3*o + 16 = -16*q. Solve 0*j + 3*a = j + q, 3*a + 1 = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 355*f**2 + 5755*f + 5405.\nAnswer: 5*(f + 1)*(f + 23)*(f + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyy. Give prob of picking 2 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -6*l**3\/17 - 7280*l**2\/17 - 1399142*l\/17 - 465572\/17 = 0.\nAnswer: -974, -239, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/(s\/(s*s**10)))*s**10)\/(s**(-2\/27)*s*s**(2\/11)) assuming s is positive.\nAnswer: s**(-32\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**3\/3 + 3*k**2 - 3*k - 4. Suppose 9 = 5*b - 11. What is s(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8331 > 8331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x**2 - 2*x**2 + 3*x**2 + (-2*x - 2 + 5 - 5)*(-308 + 147 + 132)*(5 - 5 - 3*x))*((0 + 1 + 0)*(5 - 1 - 3) + 3 - 4 - 1) to n + u*x + a*x**2 and give a.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1784954 and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + a**2 + 251*a - 615. Give p(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 227947, 227974, 228001?\n\"Answer: 27*g + 227920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.4. Let x be 31\/2 - (-4 + 8 - -11). Which is the fourth smallest value? (a) 2\/7 (b) f (c) 0.3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*k + 4368 = -180*k - 343*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqiyjya. Give prob of picking 1 q and 2 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -a - 6, -4*d + 8 = -2*a + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -5, -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n. Let i(l) = -l**3 - 3*l**2 + 4. Let m be i(-3). Suppose j - 3*f = -1, -m*f = 4*j + j - 14. Let s(u) = -2 + u**2 + j. Determine c(s(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7385 - -12384. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9159287957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**3\/2 + 57*t**2\/2 - 120*t - 150 = 0. What is t?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 80.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-2*l + 5*l - 2*l) + 5*l + 0*l - 3*l + 1159*l - 406*l - 2 + 588*l + 0.\nAnswer: 1342*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 741023151043733 - -5.\nAnswer: 741023151043738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 33 = -159. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (219\/(-12))\/(-73) + (-9)\/68\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49657.134 - -49613. What is v rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210855307?\nAnswer: 13, 2399, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + 1101010?\nAnswer: 1011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -162, -5, -2, 5.\nAnswer: -162, -5, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i + 11*b + 13 = -30*i, 24*b - 20*b = -5*i - 26 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 6:05 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 546 = 5*o, 4*n = -14 + 6. Calculate the remainder when 302 is divided by o.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 13*j + 26. Let p be m(-10). Is 6\/p*(4 + (-10486)\/21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4033672906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**2 - 5*q**2 - 29*q**2 + 46*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3129906 greater than or equal to -3129906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**20*k\/k**(2\/11))\/(k**(1\/72)\/(k\/k**1)) assuming k is positive.\nAnswer: k**(16477\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 + 1309. Let x = r + -740. What is the greatest common divisor of 146 and x?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 142 - 6\/1*6\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35243 (base 7) to base 16\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 121325 times 1067\nAnswer: 129453775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 839.9 rounded to the nearest ten?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 3*u**4\/4 - 3*u. Let y(z) = 0*z + 2*z + 2*z. Let p(t) = 2*t. Let d(c) = -11*p(c) + 6*y(c). What is d(f(v))?\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53150 divided by -5.\nAnswer: -10630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12*(-100)\/(-8)*(-15 + (-46)\/(-3)). Solve -26*g - 24 = -q*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 2210*m + 36125.\nAnswer: 5*(m + 17)*(m + 425)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -3\/8 (b) -0.5 (c) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -515930.3899 - -86.3899. Let o = 515843.9259981 + g. Let t = o + 0.074. Round t to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.11 - -11.09. Let u = -11.20000384 + c. Round u to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/36*4*(-2)\/14?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - t + 36 = -5, -2*t = -h + 16. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 84*c + 359. List the prime factors of x(7).\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18*(2 + (-675)\/10). Let k = -35 - s. Let c = k - 651. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*k + 468 = -0*u, 5*k - 468 = -3*u. List the prime factors of u.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -33, -59, -99, -159, -245, -363, -519?\nAnswer: -719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.76 + 6.56. Let t = -21.2 - d. Let a = t + 27.0009. What is a rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 110 = 5*j, 4*u + 55 + 17 = 4*j. What is the remainder when 98 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 69 + 24 = 9*l, 3*l = -2*y - 3*l + 70 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, 2\/9, 15\/2, 0.2, -18, 7?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i = 4*n + 6, -2*n - 8 = -2*i. Let q be (-16)\/(2\/(1 - i)). Differentiate -q*z - 7 - 7 - 5*z wrt z.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1304*r + 5*k = 1299*r + 25, -2*r - 25 = -5*k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -13, 4, 10123\/3, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d + d - d)*(-d**2 - 4*d**2 + 4*d**2) + 0*d**2 - 2*d**3 + 0*d**2 + (0 + 2*d**2 + 0)*(8*d + 0*d - 3*d).\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + -9 - (17 - (19 - 6) - -14).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 147750.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -14*v**2 + 1. Let d be l(1). Let x(m) = 4*m + 13. Let g(y) = 40*y - 3. Let a(j) = 214*j - 14. Let c(s) = 3*a(s) - 16*g(s). Determine d*c(q) + 6*x(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 i, and 1 p when four letters picked without replacement from {b: 5, p: 1, i: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 23769.\nAnswer: 2\/23769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b + 1. Let d be k(2). Let y = -115 + 119. Suppose -2*u = -y*g - 64, u + g - 6 = 23. What is the greatest common factor of d and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6637 less than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*q - 42 = 27*q. Suppose -q*h + 81912 = 3642. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*j = 5*t + 42*j - 16, 4*j + 37 = 5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 104*n**2 - 1263*n + 146. Let a be k(12). Let m = 0.04 + 1.96. Put m, a, 0.1 in ascending order.\nAnswer: a, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1268357?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/30 + (-57)\/6)*2\/(-8)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200195847997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzn when three letters picked without replacement from zzzzzzzzzzzzzzzznzzn.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**4 + 103*r**3 + 2796*r**2 + 7100*r - 10000 = 0. Calculate r.\nAnswer: -50, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 137*z**4 + 10*z**4 + 752*z**3 - 288*z + 264*z**2 - 248*z**3 + 48.\nAnswer: 3*(z + 2)**2*(7*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 15*c**2 - 45*c**2 + 49*c**2 - 18*c**2. Let s(d) = 898*d + 6. What is s(a(y))?\nAnswer: 898*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 60325591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2046276 divided by 27?\nAnswer: 75788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214, -437, -660, -883?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98464?\nAnswer: 2, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**2 - u**4 + 4*u**2 - 3*u**4 + 2*u**2 + 1 + u**3 - 2*u to the form s*u**3 + k*u**4 + w*u**2 + z + m*u and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 33*x**2 + 5*x + 16. Let c be k(-3). Determine z, given that 114*z**3 + 95*z**3 + 110*z**3 - 21*z + 30 - 3*z**4 - c*z**3 - 27*z**2 = 0.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -12*k**5\/5 + 5*k**4\/6 - 13*k**3\/6 + 14*k. Find the third derivative of y(r) wrt r.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373082025 a multiple of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -4) + (0 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ypvvvvyvvzyvyvvvvyvv.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 17. Let v be x(-7). Let k be (-8)\/v*(3 + 2). Which is the closest to 2\/7? (a) 0.2 (b) -0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**2 + 277*w\/3 + 62\/3 = 0.\nAnswer: -2\/9, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - r - 8. Let g(s) = -s**2 + 15*s - 14. Let c be g(14). Determine i(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + (1 - (-1 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -543*h - 1752. What is the remainder when g(-4) is divided by 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q - 7. Let v(c) = -5*c + 6. Let x(r) = -6*a(r) - 7*v(r). Let m(b) be the second derivative of -b - 1\/6*b**3 + 0*b**2 + 0. Calculate x(m(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*m = 34778 - 34769, 0 = 2*h - 4*m + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -2. Let k = f - -5. Let d = k + -2. Solve 0*q = q - d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-3))\/(16\/72). Suppose -g*x = -9, -x + 29 = 2*b - 2*x. Calculate the remainder when 30 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33116953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/14)\/(432\/252*48\/(-18))*-1?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1510807\/177742*(2\/(-3)*(-9)\/(-6) - 1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9481 not equal to -28441\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 2\/149, 50?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 10\/(-5))\/(8 - -3 - 1). Factor 18\/5*d - 81\/5 - i*d**2.\nAnswer: -(d - 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -4*z + 155. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5564 - -5081.4. Let z = p + 483. Let u = 0.3 + -0.5. Put -3\/4, -3, z, u in descending order.\nAnswer: z, u, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-j**4 - 2*j**4 + j**4) - 175*j - 275*j**4 + 172*j + 6759*j**4 - 1019*j**4.\nAnswer: 5467*j**4 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - r + 44 = x, -x + r = -22. Let j = x - 19. Let p(b) be the first derivative of 5*b**2\/2 - 4*b + 4. Determine p(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 326452 = -13*s. Suppose v = -y + 68003, -3*v - 2*y = -s - 157370. Round v to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from {g: 1, v: 4, s: 2, i: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1326 - 17. Suppose 11*x - 3916 - h = 0. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26, -0.5, 11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 40 + -1 + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 3\/8 (c) -16.4 (d) -18\/11 (e) -42 (f) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3360, -2393, -1426, -459, 508, 1475?\n\"Answer: 967*o - 4327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -67, -231, -521, -943, -1503, -2207, -3061?\n\"Answer: -c**3 - 57*c**2 + 14*c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2317*b**2 - 2317*b**2 - b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1589\/62 - 717\/31. Suppose -3\/2*x**4 - 1 + 1\/2*x - 1\/2*x**3 + t*x**2 = 0. What is x?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 5*n**5\/48 - 5*n**4\/24 + n**3\/6 - 4*n**2. Let l(i) = 0. What is i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3)\/o)**(-4\/9)\/(o\/(o\/(o*o*(o**(-8)*o)\/o)*o)*o*o\/(o*o**(-1\/11)\/o)*o*o) assuming o is positive.\nAnswer: o**(1084\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 1:09 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.857 rounded to zero dps?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1020 + -722. What are the prime factors of l?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from {e: 3, x: 5, b: 3, y: 1}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16867133 is divided by 176?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2391207, 4782416, 7173625, 9564834, 11956043, 14347252?\n\"Answer: 2391209*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from titbititittttbte.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7466*n**3*q**3 - 3*n**3*q + 394*n**2 - 5*n*q**3 wrt n.\nAnswer: 44796*q**3 - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 412 divide 932768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1264 and -3759482?\nAnswer: 3758218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114359 to the power of 1\/2, to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-80)\/(-28) - (-884)\/182\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 7*r**2 - 6*r + 1. Let a be x(-6). What are the prime factors of 9\/3 + 45 + a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 31*a + 325. Let l(f) = -56*f - 648. What is 11*j(q) + 6*l(q)?\nAnswer: 5*q - 313","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -28. Let u be -3 - -2 - ((-10)\/(-6) - 2). Which is the nearest to 0? (a) -1 (b) h (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 164358 and 5560779.\nAnswer: 33364674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2 + 4)*(0 + 0 + a).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*s - 336, -6*p + 670 = 4*s - p. Let r(v) = 5*v - 4. Let f be r(9). Let o = f + -26. Calculate the highest common divisor of o and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6202 (base 8) to base 2.\nAnswer: -110010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100101 (base 2) to base 11\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 7 = -a. Let u be (a\/(-5))\/(9\/30). What is the units digit of 6\/(-4) + (-14)\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 36*g**2 + 64*g - 106. What is the ten thousands digit of y(44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -2. Suppose -m*g = -8 - 4. Let d(s) = -s - 2*s + g + 2*s + 0. Determine d(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.19 (b) 5 (c) -69 (d) -136 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 4*u + 2*u - 3*u**3 - u**3 - u**3 + 3*u**3 + (-3*u + 3*u + 2*u**3)*(-5 + 1 + 2) + 0 + 2*u**3 + 0 - 2*u**3 - 2*u + 2*u)*(-3*u**2 - 2 + 2).\nAnswer: 18*u**5 + 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101*b**5 - 113*b**4 + 4*b - 266?\nAnswer: -2020*b**3 - 1356*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -531, -540, -553, -570, -591?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3380 and -139\/120.\nAnswer: 20280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 96005385 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-2 + sqrt(288)) - (sqrt(288) - (sqrt(288) - (-5*sqrt(288)*-1 - sqrt(288)))))*3 + -2)**2.\nAnswer: -1440*sqrt(2) + 64816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjzjbg. Give prob of picking 1 b, 2 j, and 1 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.01 - -22.01. Let j = -14\/9 - -4\/3. Which is the nearest to r? (a) 11 (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 118 (b) 0.4 (c) -1 (d) 168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 580569891 to the power of 1\/3, to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 a when three letters picked without replacement from {h: 4, u: 3, a: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.11 - 1.89. Let m be 5\/2*3\/(-15). Which is the third smallest value? (a) m (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/180*-1*2*1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - t - 2225, -2*f - t + 2294 = 814. Put -4, 2, f in ascending order.\nAnswer: -4, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -1\/6, -3, 5\/7, -5\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.7 - -3. Let p = -1.3 + y. What is the closest to p in 2, -0.6, -0.4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 561 (base 9) to base 10\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*g + 4*g - 85 = 0, 75 = -5*w - g. Let q = 26 + w. Calculate the lowest common multiple of q and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113da8 (base 14) in base 13?\nAnswer: 17734a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-7 + 43))\/((37 - 39)*(-9 - -4))\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = j - 232 - 6, 4*j + 4*j - 5*t - 250 = 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c**2 + 275*c - 62. What is the least common multiple of 264 and m(-50)?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -8*q**2 + 9*q. Let w(k) = 72*k**2 - 84*k. Let t(b) = 28*h(b) + 3*w(b). Let y be (-2)\/6 + (-40)\/(-12). Let z(a) = a + y*a - 2*a. What is z(t(o))?\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.369 + 12.069. Which is the biggest value? (a) 1\/4 (b) o (c) 852\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26808 + 15063?\nAnswer: 41871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 + 33 + 59)*(-2 + 2 - 5)*((-1 - 4 + 4)*(4*z - 5*z + 0*z) + 0 + 0 + z + 0 + 0 + z)*(4 - 3 + 0).\nAnswer: -495*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**(6\/17))\/(s\/s**(2\/13)))**(1\/7))**(-29\/4))**(-38) assuming s is positive.\nAnswer: s**(-12122\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 11*r - 52. Let g be d(-15). Let h = 190 + g. Calculate the highest common divisor of 52 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25\/9 - (174\/(-54) + 3). Solve v + 2 = z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -863229 - -5154905\/6. Let m = 4100 + z. Calculate the common denominator of 89\/8 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o**2 - 14*o - 19. Let k(f) = 18*f**2 - 28*f - 34. Calculate 3*k(a) - 7*l(a).\nAnswer: -2*a**2 + 14*a + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -18. Let a be ((-3)\/10)\/((-6)\/h). What is the third smallest value in 0.3, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2 + 9*y - 8 = 0. What is y?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2 - 69954*r - 1223390529 = 0. What is r?\nAnswer: -34977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 2, p: 4, f: 4, d: 2}. Give prob of sequence md.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: 143102041 (base 5) to base 3\nAnswer: 1102021110120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1783 and 10710481.\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (2 - (5 - (1 - -1)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/2085 and 47\/6?\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 greater than or equal to -1.622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 3. Suppose v = -2*u - u. Suppose 2*m + 2*o - 4 = 0, 4*m - 8 = -u*m + 3*o. Solve -5*h - m*k = -15 + 40, -4*h - 17 = k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15806158 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -9, 2*k - 7*l - 4987 = -4964 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2402b + -65?\nAnswer: 23b86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, a: 2, n: 2}. Give prob of picking 4 x.\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 4*w**2 - 4*w - 21. Let s be r(7). Let a(b) = -121*b - s*b + 188*b. Let o(f) = 4*f. Give o(a(t)).\nAnswer: -124*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from {o: 2, u: 2, y: 1, h: 1, v: 2, m: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -10. Suppose -n*x - 8 = 0, -3*p - 4*x + 28 = -0*p. Suppose 4*l + 4 = p. Solve 12 = -d - l*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 5\/2 (c) 79 (d) 9.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 13*t**2 - 13*t + 17. Let q be x(12). Let g(c) = 3*c - 23. Let v(w) = -4*w + 34. Let z(r) = q*v(r) + 7*g(r). Determine z(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1136 and 748912.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 + -120 + 147 + -166.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3487449*h*p**2 + 56035*h - 45*p wrt p.\nAnswer: -6974898*h","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c*v + 1797*c + 3369*v**2 - 107*v + 510 wrt v?\nAnswer: c + 6738*v - 107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1108 is divided by 236.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 6*p**2 + 9*p - 1. Let j be a(4). Suppose -4 + 9 = j*l + 5*f, -3*f = 4*l - 14. Solve -7*y + 5*h = -2*y - l, y - 16 = -4*h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/45)\/(-2 - -1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32b7 + 0?\nAnswer: 32b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -5, -k = 3*k + 4*n + 24 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**3 - 3*m**2 + m + 1. Let j(u) = 114*u**3 + 55*u**2 + 3*u + 5. Let k(s) = j(s) - 5*z(s). Find the third derivative of k(d) wrt d.\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3c83 (base 16) to base 9\nAnswer: -23222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 11 + -7 + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(1\/(-58) - 0). Let k be 3\/(-8) + (-190)\/(-80). Suppose -216 + g = -k*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4125 + 25?\nAnswer: -4100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*k + 22 = 0, -m - 16 = -2*m - 4*k. Calculate the common denominator of 31\/20 and (-5*18\/m)\/11.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*(-5*sqrt(120) - sqrt(120)))\/((sqrt(1470) - sqrt(1470)*-2)\/(-5*sqrt(180))).\nAnswer: 1440*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 1:29 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 483936.6mm to kilometers.\nAnswer: 0.4839366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 0.4, -26\/23 in descending order.\nAnswer: 0.4, -26\/23, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 32*o - 2494. Let b be z(79). Solve 0 = 40*v - b*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6504)\/(-9756))\/((-4)\/(-786)).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-153)\/(-15) - (2 + 36\/(-20)). Suppose -5 = 4*u + p - 7, 0 = -5*u - 5*p + x. Suppose u = -t - 6*t + 1001. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142 and 4597534?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 15 = 4*n, -3*p + 5*n + 71 = 0. Let v(f) = 11*f + 147. Let o be v(22). Suppose -t - o = -401. What is the remainder when p is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s**3 + 59*s**2 - 40*s - 19. Determine v(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - 1101?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**4\/6 - 72*q - 128. Let b(t) be the first derivative of j(t). Let n(v) = 49*v. What is n(b(m))?\nAnswer: -98*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42 - 551?\nAnswer: -623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, o: 1, q: 2, s: 4, t: 9}. What is prob of picking 1 s, 1 q, and 1 m?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1088790, 1088820, 1088850?\n\"Answer: 30*r + 1088760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2415033.5 to the nearest 100.\nAnswer: -2415000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67 + 68. What is the tens digit of (33\/12)\/(f\/64)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + d - 14. Suppose -646 - 3042 = -8*c. Let q = -458 + c. Solve -2*a - d = q*w, -3*w - 12 = w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -159*n**2. Let x(c) = -2*c. Determine k(x(g)).\nAnswer: -636*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -1304, -5, 0, 121 in decreasing order.\nAnswer: 121, 5, 2, 0, -5, -1304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 149 - 1?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83364\/7 - -11912. Factor -6\/7*l**2 - 6\/7 - y*l.\nAnswer: -2*(l + 3)*(3*l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**4\/12 - i**3\/2 + 13*i**2\/2 + 17*i. Let l be m(-7). Let z = 27 + l. What is the lowest common multiple of z and 33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 60 = 2*f. Let w = 30 - f. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*-5*(sqrt(9)\/sqrt(3) + 1 + -6*sqrt(3)*3))**2.\nAnswer: -38250*sqrt(3) + 976500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 539\/187 + (1 - (-15)\/(-17)). Which is the second biggest value? (a) 5 (b) x (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = h - o, -3*o = h - 6*o - 22. Let t(c) = 2*c - 2 + h - 5 - 5 + 9*c**2. Let n(r) = -r**2 + r - 1. Let a be n(0). Give t(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 30 = 150. Let z = -9 + 23. Let w be 0 - r\/z - -2. Which is the nearest to 0? (a) -4 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9 - -17) + -1 + -1 - -6) + (-44 - -3)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/((o**22*o)\/o))\/o**(-1\/3))\/(o**(-1\/7))**(-48))**(-1\/39) assuming o is positive.\nAnswer: o**(557\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -5, 95 in ascending order.\nAnswer: -42, -5, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 250\/(2\/(-1) - (4 - 8)). Let l be (-4)\/22 - p\/825. What is the closest to l in -5\/3, 0.5, 17\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -80*w**2 + 3*w - 2. Let q(o) = 160*o**2 - 6*o + 3. Determine 5*j(a) + 3*q(a).\nAnswer: 80*a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 - -386. Suppose f + z = 9*f. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*u - 81 = -329. Sort u, -0.23, -0.016.\nAnswer: u, -0.23, -0.016","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*r - 11*r - 61 + 13*r.\nAnswer: 93*r - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5\/3 - 32*g**4\/3 - 22*g**3 + 2192*g**2\/3 + 8491*g\/3 - 3528 = 0.\nAnswer: -27, -7, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 651?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/28543233 and -29\/24.\nAnswer: 228345864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -490\/233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 16861.29 to the nearest 10.\nAnswer: 16860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 194*r - 3 - 2 + 5 - 1. Is g(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(156) + sqrt(156) - sqrt(156))*-3)\/(sqrt(60)\/(sqrt(500) + 1*sqrt(500))).\nAnswer: 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/30)\/((-18)\/(-132)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmmiehahhihmhihihj. Give prob of sequence eh.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 + 53*i + 351. Give z(-17).\nAnswer: -1128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 897 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-2*sqrt(2268) + -3 + (-5 + sqrt(252)\/sqrt(4) - sqrt(63) - (sqrt(756) - (sqrt(756) - (sqrt(756) - (sqrt(756) - -2*sqrt(756)))))\/sqrt(12)))*5)**2.\nAnswer: 12000*sqrt(7) + 159096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: -0.02+-114282967\nAnswer: -114282967.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -647416.2 rounded to the nearest ten thousand?\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 5*g + 80, 241*v - 242*v + 3*g + 24 = 0 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yiykyxyyiiyiykxiiiyk. Give prob of picking 2 k and 1 x.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 16 = a, 20 = c + 4*a. Let j = 435 - 302. Suppose 5*o - j = c*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5993036?\nAnswer: 2, 7, 193, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13202011122 (base 4) to base 5\nAnswer: -1001141433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((242\/605)\/((-10)\/(-25)))\/(-17)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3391, 816\/11, 1, -0.1 in decreasing order.\nAnswer: 816\/11, 1, -0.1, -3391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443956 is divided by 110970?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4856 minus 30.62884?\nAnswer: -4886.62884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 6:22 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, u: 5, z: 7}. What is prob of sequence uzuz?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r - 2. Let y be a(1). Suppose 2*v + l = 5*v - 22033, 12 = -y*l. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47\/3 + 17. Suppose -3*d - 12 = 0, -s - d - 32 = 3*s. Let v = s - -4. What is the second biggest value in o, v, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66383714 or -66383705?\nAnswer: -66383714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -3 - 10\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*l + 744. Let a = 95 + l. Let i be (19 + -5 - (a - 1))\/1. Sort 3, -4, i, 1 in descending order.\nAnswer: i, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 7)*(-6 + 6 - 3*w**3) + 5*w**3 - 4*w**3 - 3*w**3 + (-w + 1 - 1)*(208*w - 208*w - 9*w**2) - 5*w**3 + 4*w**3 + 2*w**3.\nAnswer: 29*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1564609167?\nAnswer: 3, 11, 15804133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 717115979\/5 or 143423195?\nAnswer: 717115979\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from krkk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**5\/30 - o**4\/24 + o**3\/6 - 3*o**2\/2 + 3. Let i(q) be the second derivative of v(q). Determine i(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 1:52 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -121*r**4\/2 - 2164*r**3\/3 + 830. Find the third derivative of b(n) wrt n.\nAnswer: -1452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xaxxxxxxaaa. What is prob of sequence xxxx?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-2)\/4)\/((-115)\/(-30) - 4) and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 8:39 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, s: 4, o: 4, e: 3}. Give prob of picking 2 s.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20, -4, -76, -202, -388, -640, -964, -1366?\n\"Answer: -c**3 - 18*c**2 + 37*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*z**3 - 3 + 6*z**3 + 2*z - 140 - 10*z**3 - 4*z wrt z?\nAnswer: 18*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**4 - l**3 + 5*l**2 + 3*l - 3. Let t(a) = 29*a**3 - 2*a + 2 - 4*a**2 - 39*a**3 + 3*a**4 + 11*a**3. Let v(j) = 2*h(j) + 3*t(j). Factor v(b).\nAnswer: b**2*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzyzyyyyzyyyy. What is prob of picking 2 y?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2357455645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 471*s**2 + 281*s**2 + 150*s**2 - 139*s**2 as w*s + x + z*s**2 and give z.\nAnswer: 763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 18208\/5, 5, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 7*a = -4*a + 16, -4*m - 2 = 5*a. Solve 5*c = m*c + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**6\/225 + i**5\/50 - i**4\/90 - i**3\/15 + 81*i + 132. Let w(v) be the first derivative of a(v). Solve w(h) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5670997 and 149.\nAnswer: 148.4329003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -150*x + 857. Let s be c(16). Is s bigger than -1543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhntinhhdnthtnttdih. What is prob of picking 2 i, 1 n, and 1 t?\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216064?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from rrtrrssttstsntrxe.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15461 + -7436. Does 23 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -68 in -4, 5, -9, -0.5, -7\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**5 + 0*f**5 - 4*f**5 + 21*f**5 - 2*f**5 + 7*f**5 + (2*f**4 + 4*f**4 - 4*f**4)*(0*f - 3*f + f) - 3*f**5 + 33 + 47361*f**3 - 47361*f**3.\nAnswer: 20*f**5 + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -9) + -8 + -5 + 107 + 0\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.266 - 1610.734. Let l = i + 1625.13. Let u = l - 0.83. Round u to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 5*s - 3 = 8*p, -3*p - 5*s + 8 = 0. Let f(x) = x**3. What is f(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8368.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222202 - -12?\nAnswer: -1222120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3267, 4735, 6203, 7671?\nAnswer: 9139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 8:04 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*g = -10305 - 5690 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*l + 56 = 50*l. Calculate the smallest common multiple of l and 46.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t**3 + 9*t - 3*t**3 - 20 + 11*t**3 + 8*t**2. Let l be v(-6). Let r be ((-8)\/2)\/l - -15. What is the highest common factor of 17 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-30)*-175*2\/1*(-75)\/50.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -704 - -707. Let h(r) be the first derivative of -1\/3*r**v + 0*r + 0*r**2 - 4. Let f(q) = q. Determine h(f(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74640810 and 2718.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 7, -262, -6, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6223\/189 + (-32)\/4 - (-4)\/54\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.4 - 0.4. Let g = 9 - r. Is 0.2 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 + -20787?\nAnswer: -20790.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(20)\/(sqrt(10) + 3*sqrt(1000)))**2 - ((-2*sqrt(2) + 3)**2 + (sqrt(8)*5)\/sqrt(4))) + 5.\nAnswer: -11536\/961 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-3*sqrt(56)*1 - 1*sqrt(56)*-3)\/(sqrt(32)*-1 - sqrt(8) - (sqrt(8) - sqrt(40)\/(-1*sqrt(5)))))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/8)\/(1\/((-16)\/4)). Let q(n) = -5*n + 1. Let k(y) = -11*y + 2. What is b*k(u) + 7*q(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 103779508 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**3\/3 - 294*n**2 - 15008*n\/3 + 2048 = 0. Calculate n.\nAnswer: -16, 2\/5, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 5*t**2 + 2*t + 1. Let a be j(-4). Let y = 9 + a. Let w be 13\/y - 2\/(-4). Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/513686615 and 89\/15?\nAnswer: 1541059845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3181, -9164, -15147?\nAnswer: -21130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (4 + 15 - 16)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1512 divided by -45913.\nAnswer: -216\/6559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n = 2*j - 17*n - 110, -3*j + n = -151. What is the highest common divisor of j and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1941, 1\/12, 1, 10.6, 53, -2 in decreasing order.\nAnswer: 53, 10.6, 1, 0.1941, 1\/12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 6. Let a be l + 16\/6 - 3. Suppose 8\/3*u - a*u**2 - 8\/3 = 0. What is u?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i - 35*i - 14817 = -m, 5*m = -i + 3709. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 34568614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1479489691.\nAnswer: 43, 83, 414539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -877645 + 24*v - 877640 + 1755284 - 29*v**2 + 4*v**4 in the form f*v**4 + g + a*v**2 + k*v + u*v**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.2 times -3?\nAnswer: 27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*a + 12, a - 7 = -t. Solve -3*h = -5*o - 2*h + 11, -t*o = 5*h - 29 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 - 4*y**3 - 2*y + 2*y**3 + (-1 + 2 - 3)*(66*y + 2*y**2 - 182*y - 82*y - 2 - 3*y**3) to the form n + f*y + p*y**3 + o*y**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 4 (c) 68 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*c + g, -4*c - 3*g = -3*c - 2. Let t be (42028\/(-1496))\/c - 4. Let s = 9431\/935 + t. Find the common denominator of s and -103\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4343863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -5*r - 213, 0 = 3*g + r + 16. Put 30, g, 5, 1 in decreasing order.\nAnswer: 30, 5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65020167 - -65020445.99717. Let l = h - 279. Round l to 4 dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 3*k + 4 = 0, 3*w + 3*k + 18 = 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0 = -b + 12, 5*b - 24 = 2*i. Let z(k) = -4*k**2 - 2*k - 2. Let x be z(i). Let o = x - -23. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*s - 6*s**2 - 98*s + 53*s + 11*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**7\/336 + w**5\/12 - 14*w**3\/3 + 22*w. Let s(d) be the second derivative of v(d). Factor s(t).\nAnswer: -5*t*(t - 2)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1390 = 44*y - 334 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 27 = z, 9*z - 15 = 4*z. Does 10 divide ((-3)\/x)\/(2\/(-128))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8151 and -1502407222.\nAnswer: -1502399071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -309 * -0.0523.\nAnswer: 16.1607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1348, -1352, -1360, -1372, -1388, -1408, -1432?\nAnswer: -1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 7*a**2 - 7*a - 6. Let n be t(8). Let l be n - (-2 + 0 + -1). Let x(v) = v**3 - 6*v**2 + 7*v - 6. Calculate x(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1813.4 + -1445. Let h = y + 46.2. Let b = h + -375. Round b to the nearest integer.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83963*x**5 + x**3 - 68*x**2 + 266306153*x wrt x?\nAnswer: -1679260*x**3 + 6*x - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.23, 1530, 0.3?\nAnswer: 1530","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6324)\/(-2890))\/31*(-10)\/(-12)*-2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**7\/5460 - x**6\/390 - x**5\/156 - x**3\/3 + 5*x - 17. Let h(u) be the third derivative of w(u). Factor h(c).\nAnswer: -2*c*(c + 1)*(c + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*f = 402256 + 443487. Is f a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/489720 and -103\/818532?\nAnswer: 57297240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66*102.87.\nAnswer: 6789.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 702 + -701. Put w, 7, -3, -0.2 in decreasing order.\nAnswer: 7, w, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.3 + 16. Let l = 0.7 - f. What is the second smallest value in 0.5, 5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 193 + -184. Calculate the lowest common multiple of 291 and b.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -25*p**2 + 16*p + 1326. Let s(g) = 42*g**2 - 27*g - 2653. Calculate -5*n(c) - 3*s(c).\nAnswer: -c**2 + c + 1329","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, i: 4, q: 3, t: 8}. Give prob of sequence qtqi.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1123 - -100231?\nAnswer: 55104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 27a034?\nAnswer: 27a036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1509992\/(-10))\/(-38 + -12). Let u = k - 3020. Is 0 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*j + 51 + 19*j - 35*j.\nAnswer: 13*j + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -65 - 1546\nAnswer: -1611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/4 - 177*o\/2 - 2394.\nAnswer: -3*(o + 42)*(o + 76)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17042 + -647643\/38. Let f = d + 14\/19. Suppose -4*x + 8 = a, -5*x - a - 10 = -10*x. What is the biggest value in f, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*k**3*q**2 + 529*k**3*u**3 - 38*k**2*q**3 + q**3*u**4 wrt u.\nAnswer: 1587*k**3*u**2 + 4*q**3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -42. Suppose -z*m + 10*m - 15 = 0. Solve -2*n + 2*w + 4 = -4, -4*w - 17 = -m*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 713 - o - 363 + 5*o - 309. Calculate g(-15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9352*w**2 - 1808*w**2 - 9893*w**2.\nAnswer: -21053*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*f**2*m**2*o**2 - f**2*o**2 + 23*f**2*o + 3*f**2 - 2*f*m*o - 8*m**2*o**2 wrt m.\nAnswer: -24*f**2*o**2 - 16*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67.6 - 68. Which is the second smallest value? (a) -2\/7 (b) 17 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 57*z**2 + 135*z + 189.\nAnswer: -3*(z - 3)*(z + 1)*(z + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3 + (-3 - 7\/(-3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 902 and 1312?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 162*t - 4525. Determine a(-36).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -7 (c) 11 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -6. Let c = 3 + q. Is c + -4 - -2 - -30 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069098 to the power of 1\/2, to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -233860000 to the nearest 1000000.\nAnswer: -234000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2, 7, 1, -4, -5 in descending order.\nAnswer: 7, 2, 1, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**7\/3780 - v**6\/405 + v**5\/108 - v**4\/54 + 3*v**3 + 5. Let i(u) be the third derivative of t(u). Factor i(m).\nAnswer: 2*(m - 2)*(m - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 7, w: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by -138337.\nAnswer: 39\/138337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(-6))\/o**(1\/19))**(-28))**(-35))**(-26) assuming o is positive.\nAnswer: o**(2446080\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 16*g**2 + 11*g - 10. List the prime factors of c(-17).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from {f: 1, z: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1, -3, -2\/15 in descending order.\nAnswer: 1, -2\/15, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 99.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23483, 0.2, -0.0698 in decreasing order.\nAnswer: 0.2, -0.0698, -23483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 2 + 2)*(-2*u**2 + 5*u**2 - u**2) - 5568647*u**2 + 5568647*u**2 - 2887*u**3.\nAnswer: -2891*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -21. Suppose -2*f - 3*w + 7*w = 10, -t = 3*f - 3*w. Let v(a) = a**2 + 3*a - 2. Let k be v(f). Solve 0 = 3*n + k - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + 4986997.\nAnswer: 4987054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from susiiissiuusiiuiruu. Give prob of sequence us.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 101 = -299. What is the tens digit of ((-3)\/2)\/(6\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 8) to base 7\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3\/4 + 14219*m**2\/4 - 71053*m\/2 + 56836 = 0. What is m?\nAnswer: 2, 8, 14209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28005674292\/43573 - 642730. Let j = -2527012\/4836603 - a. Calculate the common denominator of -79\/30 and j.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 981436245 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z - 470 = 4498. Let g be 10\/(-50) - 122\/(-10). Calculate the greatest common factor of z and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 2:33 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 8 - 0. Suppose -2*i - 7 = -0*g - 3*g, g = u*i - 1. Suppose 0 = -5*f + g*x, -2*x - 3*x + 19 = -2*f. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -3\/4 (b) 0.78 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 1)*(-2680*s + 586546 - 586546) in the form p + r*s and give r.\nAnswer: 5360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3316?\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 5 = -7. Let x be (-5 + 1165\/25)\/(i\/10). Calculate the highest common factor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d - 15 = 0. Suppose 0 = d*j - 5 - 7. Suppose -4*r - j*k + 364 = 0, -k - 3*k - 259 = -3*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*y**3 + 197*y**2?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - 93\/(-180))\/(140\/(-30) + 5) and -9\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**3 - 6*l**3 + l**3 + 4*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**2 - 916*q - 8760 = 0. Calculate q.\nAnswer: -219, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 372317 - 6?\nAnswer: 372311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 17. Let o(l) = 5 + 0 - l**2 + 8*l + r*l - 22*l. Calculate o(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 6:38 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*u + 11*u**2 + u - u - 5*u wrt u.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7654*i + 305343. Calculate o(-40).\nAnswer: -817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10387\/124 at most 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -439 + 436.03. Let g = 0.03 - p. Let l = g - 3.2. Put 0, -2\/5, l in decreasing order.\nAnswer: 0, l, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffjf when four letters picked without replacement from {j: 4, f: 14}?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8 - 1.87. Let o = 0.02 - l. Let a = -54.6 - -54.9. What is the third biggest value in a, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41595 * 14.7.\nAnswer: -611446.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10951044 divided by -2.\nAnswer: 5475522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14632 + 14624. Let s = -17 - -152\/9. What is the third smallest value in -3, 2\/21, s, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3707\/15 + -247. Which is the closest to 1\/2? (a) v (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 260150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - -42. Let u = 47 - j. Round u to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 881*q + 893*q + 880*q - 2636*q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -368 - -366.628. Let n = 1.3 + r. What is n rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 14*t - 8 = 0. Suppose -6 = -u + 5. Let r = u + 11. What is the least common multiple of r and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2936991773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1735 + 1212. Let j = g + 4711\/9. Let j + 2\/3*d**2 + 2\/9*d**3 - 2\/9*d**4 - 10\/9*d = 0. What is d?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 44846883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7211883?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o + 18. Let t(j) = -25*j - 44. Let s(v) = -39*v - 67. Let a(k) = -5*s(k) + 8*t(k). Give -5*a(n) - 4*z(n).\nAnswer: n + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22691, -45388, -68085, -90782, -113479?\n\"Answer: -22697*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -35140, -35138, -35136?\n\"Answer: 2*l - 35142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*((v\/v**(-22))\/v)\/v)\/v*v\/(v\/v**(4\/3)))**9 assuming v is positive.\nAnswer: v**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -220*l + 30393. Determine a(129).\nAnswer: 2013","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 4*t + 3. Let y be q(-2). Let c = y - 3. Suppose c*w + 3*w = 21. Solve 12 = -3*z, -5*z - 13 = 4*r + w for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 + 4 - 4)*(-3*o**2 - 14*o**2 - 2*o**2) - o**5 + 2*o**5 - 2*o**5.\nAnswer: 18*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23036003.\nAnswer: 17, 43, 31513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.254 + -0.094. Which is the closest to 1? (a) l (b) -3\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d**15\/d)\/(d\/d**(-1\/6)) assuming d is positive.\nAnswer: d**(95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-12) - (-135)\/(-12). Let q(r) = -6*r - 7. Is q(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (88 + 0 + 1)\/(-8) and 5\/(-2)*(5 + -8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -821, -10, -2, 8, 3, 4 in descending order.\nAnswer: 8, 4, 3, -2, -10, -821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 1, e: 2, z: 1, q: 1, r: 1}. What is prob of sequence du?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 464590, 464575, 464550, 464515, 464470, 464415?\nAnswer: 464350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -726914, -2907651, -6542212, -11630597, -18172806, -26168839?\n\"Answer: -726912*x**2 - x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 841367\nAnswer: -252410.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + (-39)\/(-9))*5\/20?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4011103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17824, 17829, 17846, 17881, 17940, 18029?\nAnswer: 18154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*d**2 - 43720350*d + 18737289.\nAnswer: 3*(d - 2081921)*(7*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -73*21.83453\nAnswer: -1593.92069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 719?\nAnswer: 3\/719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - x = 21*n - 2, -3*n = -5*x + 10. Solve 0 = -4*a - n*a - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27989 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/360 and 21\/(-3) + (5 - 5031\/(-2268))?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 16. Suppose z - 2 = t. Sort -2\/9, t, -1.\nAnswer: -1, -2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*m + 1)*(-2*m**4 + 3*m - 3*m) - m**5 + 7 - 7 + (-3*m + m + 3*m)*(-m**4 + 0*m + 0*m).\nAnswer: 2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68400*j**2 - 48*j + 24*j + 24*j.\nAnswer: 68400*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - -4*(-5)\/(-20). Solve h*k + 21 = 29 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143 - -2530?\nAnswer: 2343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 3*s = -36, 11 = -3*a - 2*a - 4*s + 44 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - m + 11 = 0, 0*k - k = -3*m - 2. Suppose -k*f + 6 = -9. What is the second derivative of 0*q**3 - 2*q + 2*q**3 - f*q**3 wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7636 - 1962. What are the prime factors of c?\nAnswer: 2, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 8 + 1)*(-4*o**3 + 3*o**3 + 2*o**3)*(2*o**2 + 1 - 1).\nAnswer: -34*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 28050648 divided by 293\nAnswer: 95736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -321 - -2597\/8. Let l = 1797388\/567 + -3170. Let t = 6205\/9072 - l. Find the common denominator of t and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 12. Suppose -2*x + 48 = o*a, -a - 30 = -4*x + 88. What is the greatest common divisor of x and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 - 8*z - 1. Let t be i(3). What are the prime factors of (-4 + (7 - t))*242?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14923.245*-0.4.\nAnswer: -5969.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -34. Let r(l) = -28*l**2 + 35. Let f(d) = 5744 - 5743 + 35*d**2 - 36*d**2. Determine m*f(i) + r(i).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4\/22*25\/(600\/36)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -2.9. Let c(t) = t + 9. Let y be c(-7). Sort h, y, -4 in decreasing order.\nAnswer: y, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 16*i + 690. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5159810 divided by 2?\nAnswer: 2579905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -513*u**4 + 52869*u**3 + 216474*u**2 - 12840*u = 0?\nAnswer: -4, 0, 10\/171, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4817 - -4827. Solve -q*l - 120 = 14*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -8\/9*z**2 - 8\/9 - 34\/9*z = 0.\nAnswer: -4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(88) - sqrt(88)*4) + sqrt(88)))\/sqrt(8))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 11 = -4*h + 26, 0 = -4*o + 12. Suppose -7*g = 15 + h. Let i be (-4 + 0)\/8*12. Put i, g, -2, -5 in descending order.\nAnswer: -2, g, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49512055?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252, -255, -260, -267?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3027\/10090)\/(3\/(-44)).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1789, -3493, -5087, -6571?\nAnswer: -7945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4*w = m + 2*m + m - 16, -m - 25*w - 57 + 10 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**5\/5 - b**4\/6 - b**3\/3 + b**2\/3 + 4. Determine h, given that z(h) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvhwghq. What is prob of sequence hvl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4327*o*z**3 - 16110*o*z**2 + 307945701*o*z + 2*z**3 + 2*z wrt z.\nAnswer: 25962*o*z - 32220*o + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f - 6. Let i be j(-3). Let y = i - -20. Let d be 5 - 1 - (0 - 0). Solve u + 4*u + 30 = 5*m, -y*u - d*m - 3 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8 - 8 - 67 + 25 - 176*y + 20. Let k(u) = 25*u + 3. Give 3*f(w) + 22*k(w).\nAnswer: 22*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 0*c**6 + 0*c**3 + 11*c + 0*c**7 + 0*c**5 + 8\/3*c**4 + 0 + 0*c**2 - 19\/28*c**8. What is the third derivative of u(p) wrt p?\nAnswer: -4560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 - 40*f - 15. Let w be x(14). Calculate the greatest common factor of 143 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 9 + 5*u**2 + (0*u + 3*u - 2*u)*(3*u - 6*u + 2*u) + 2*u**2 - u**2 + u**2 - 13*u - 18*u - 11*u**2 + 10*u**2.\nAnswer: 5*u**2 - 31*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022021021 (base 3) in base 9?\nAnswer: 38237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a year in months?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**6\/h)\/h**(-1\/19))\/(h\/(h\/h**(-25)))**6)**(-2\/47) assuming h is positive.\nAnswer: h**(-5930\/893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 4*a + 9. Let x(z) = 2*z**2 + 6*z - 14. Determine -8*u(o) - 5*x(o).\nAnswer: -2*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -19. Suppose 3*u + 27 = 42. Which is the nearest to 0.2? (a) s (b) -1\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-2)*b*b*b\/((b**(-5)\/b)\/b)*((b\/b**(-1\/5))\/b)**(-40) assuming b is positive.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**3\/6 + 6*p**2 - 13*p. Let s be c(13). Which is smaller: -2\/3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 303 + -166. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.1, 0.0513, -2 in increasing order.\nAnswer: -2, 0.0513, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6284, 12495, 18716, 24953, 31212, 37499, 43820?\nAnswer: 50181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**2 - 89908362*b + 673626129793587 = 0. Calculate b.\nAnswer: 14984727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1095 times -0.836\nAnswer: 915.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/1089 - -5089\/1089. Let w(a) be the first derivative of n*a**3 + 0*a**2 + 0*a - 16. Let o(s) = -3*s**2. What is o(w(u))?\nAnswer: -588*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -5074418307\nAnswer: 5074418310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 11*l + 8. Let r be i(-11). Let a(d) be the second derivative of d**3\/6 - 5*d**2\/2 - 3*d + 3208. What is a(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118*z**4 + z**2 + 165*z wrt z?\nAnswer: -2832*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2794013 to the nearest integer?\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.76225 at least as big as -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159.805 + 0.195. Let w = 160 - y. Let g = -0.3 + 0.1. Which is the second biggest value? (a) -0.4 (b) g (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 3*w**2 - 3. Let g(o) be the first derivative of o**3\/3 - o + 4. Determine 3*g(b) - y(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 4*c**3 - c**3)*(-3 - 2 + 3)*(3 + 1 - 3 + (2 - 2 - 1)*(4 - 5 + 0) + 1 - 2 + 0 + (2 - 5 + 4)*(4 + 0 - 1)) + (-c**2 + 5*c - 5*c)*(c + c + c).\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -92, -93, -94, -95, -96, -97?\n\"Answer: -k - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -9428, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -32444*w**2 + w - 15. Suppose -3*h - 7 = 3*x + x, -3*x = -h - 24. Let d be b(h). Let c be 3\/1 - d\/(3 - -1). Round c to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 + 15662\/(-369) - 44\/(-12))*-117?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 9*m - 9. Let r be t(6). Let q be (-26)\/4*(r - 1). Let n = q - -86. 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 a(u) = -u**3 - 5*u**2 + 4*u - 7. Let t = -52 - -4. Let s be ((-1)\/(-2))\/(4\/t). Let v be a(s). Solve -2*n = 5*h + 3, -n - h + 5*h = -v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = j + 22. Suppose 2*h + 3*o + 3069 = 0, 2*h + 3066 = -0*h - 2*o. Calculate the common denominator of (h\/(-4))\/j*-1 and 87\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384877 times 3.39?\nAnswer: 1304733.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 35. Let a be (0 - (-467 - -3))*6\/b. Suppose 15*i - 7*i - a = 0. What is the highest common divisor of i and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**4\/24 - p**3\/6 - p**2. Let c(y) = 3*y - 6. Let l = -4 + 3. Give l*c(m) + 5*d(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*m = -20, -3*k - 3*m = -6*m - 30. Suppose 0 = n - 4*b + k, -5*n - 4 - 8 = -b. Sort 0, -4, n, 4 in descending order.\nAnswer: 4, 0, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1341600 divided by -268320?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1920411, 1920475, 1920539?\n\"Answer: 64*w + 1920347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.97 - 0.17. Let b = -2 + q. Let a = b - 2.8. What is the second smallest value in a, -1\/3, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1534, 2245, 3436, 5113, 7282?\n\"Answer: q**3 + 234*q**2 + 2*q + 1297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88380 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 = 25*w - 24*w, 2*d = 3*w - 12. Let g be (-444)\/14 - (-4)\/(-14). Let j = g - -56. Solve -3*n + d*s = -s - 8, j = -n - 5*s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000121754 to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826210660?\nAnswer: 2, 5, 11, 241, 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 1.25\nAnswer: 8.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6277*a + 127. Is h(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -138.4533 and 389232.\nAnswer: 389093.5467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4352231189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-48)\/(-2)*38520\/216 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 8. Let f be l(0). Let d = f + 174. What are the prime factors of d?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15636 + 15638 - 34*c**2 + 15636 - 62541 + 15631.\nAnswer: -34*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + -0.1. Let j be (-1)\/3*735\/(-28) + 0 - 8. Which is the nearest to w? (a) 3 (b) j (c) 7 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 8*z + 21 = 0. What is the smallest common multiple of 39\/(1 + 0\/z) and 24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3\/2 - 44186*b**2.\nAnswer: b**2*(5*b - 88372)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 26 = -3*g, -2*a + 19 = 2*g - a. Suppose g*h - 12 = 16*h. Let c(s) = -s**2 - 5*s - 2. Give c(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15478*b**3*f**3 + 16*b**3*f**2 - 5*b**3 + 35*b**2*f wrt f?\nAnswer: -92868*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 101*x + 9. Let y(m) = -25*m - 2. Determine 2*f(a) + 9*y(a).\nAnswer: -23*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10 (b) -12 (c) -9 (d) -1\/5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*b = -134*b + 429*b - 18858 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -317?\nAnswer: -317.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 45, -1, 3, 0, 18, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3062977991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 14) to base 10\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 1:00 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78873896.20600503 - 78873895. Let s = c + -1.206. What is s rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/8 - 0)*6. Suppose -36 = y*o - o. Let i = o - -46. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -3 - (-258 + 248).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 23514 (base 15) to base 8\nAnswer: 333607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, d: 2, s: 1, w: 5, i: 1}. Give prob of picking 1 w and 2 d.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10059?\nAnswer: 3, 7, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.16424 and -5.\nAnswer: -5.16424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115804 divided by -2.\nAnswer: -57902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79628?\nAnswer: 2, 17, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g. Let a(y) = -1820*y**2. Calculate a(p(z)).\nAnswer: -7280*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20944 and 8917216.\nAnswer: 151592672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 91, 0.5, 1, -7, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5026356 is divided by 34190?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2732059697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.21 + 67.79. Let p = -73 + m. Let r(x) = -x + 17. Let u be r(14). What is the closest to 1 in u, -1\/11, p?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**6 - 1350*v**3 + 7*v**2 - 1494?\nAnswer: 240*v**3 - 8100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 + 0.11. Let z = 7 - 19\/3. Let i = 2 + -2.5. Which is the closest to u? (a) z (b) i (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 7 - 3. Let u be (-201)\/(-39) - (7 - 2). Is u > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a microsecond in nanoseconds?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 87, -4, 4.\nAnswer: -4, -2, 4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/19)*b)\/(b**(-2\/21)\/b)*b**7\/(b*b**11) assuming b is positive.\nAnswer: b**(-1117\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 0 - 8\/9*h**4 + 0*h**2 - 2\/45*h**6 + 1\/3*h**5 - 12*h + 8\/9*h**3. Determine a, given that u(a) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 136, 215, 330, 487, 692, 951?\nAnswer: 1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29.7 + 30. Let s = 10765885\/231 - 46606. Let u = -5\/33 - s. What is the closest to -10 in u, w, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 9:29 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 494, 485, 476?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 12914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 3*c = 299. What is the highest common factor of 69 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 54333560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*(sqrt(132)*-1*-6)\/sqrt(12))**2 + -4.\nAnswer: 57020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -508*m**3 + 1007*m**3 - 505*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-1)\/((-8)\/(-8))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (129 - 114 - ((-2 - -19) + -39 + 40)) + -104\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88744*k = 88701*k - 731 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251 - 316 + 65 + 83*p**2 - 19*p**2 - 3*p.\nAnswer: 64*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -28583?\nAnswer: -28577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 1167 - 1182 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3 = 3*x. Let i(l) = -l + 1. Let v be i(x). Let b be (0 + 3)\/(3\/v). Solve 6*o + 16 = b*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/71)*r)**(-24)\/(r**(-7\/2)*r*r**(1\/25)*r) assuming r is positive.\nAnswer: r**(-167617\/3550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5.7. Let b = 2 - q. Put -4\/7, -3\/2, b in descending order.\nAnswer: b, -4\/7, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 195886172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.69487 millilitres to litres.\nAnswer: 0.08769487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -225*n**3 + 30*n**2 + 3*n.\nAnswer: -1350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-15)\/(-15)*2\/(-76)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30ea91 (base 15) in base 2?\nAnswer: 1000111000010011010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15, -4389, -11751, -22101, -35439?\n\"Answer: -1494*n**2 + 108*n + 1371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*8\/540*-3. Let v(y) be the first derivative of 1\/6*y**4 - a*y**3 - 6 + 1\/3*y**2 + 0*y. Find u such that v(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) 2 (c) 3 (d) -5686 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/78 and -7\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*g - 5*i, i + i = -5*g + 56. Suppose 5*p = 5*m - 4*m - 27, -m + 2*p = -g. Solve -m*o = -3*o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from hhihikdhhhdh.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**2\/2 - 7728*l - 77430 = 0.\nAnswer: -10, 5162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -1\/3, 1, -2\/23, 4, -10?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 4. Let q be 22\/6 - (-10)\/(-15). Let w be s(q). What is the units digit of 1 - (-8 - (w - 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -46 - -3?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 5*y**2 - 2*y + 6. Determine g(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2098182 and 349697.\nAnswer: 2098182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.018.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 29 = 6. Let p = -5 - l. Let k be (-2)\/(p + -3) - 1. Solve -2*x + 3*d - 4*d = k, 3*x + 2*d = -4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*b = 0, o - 4*b = -3*o + 60. Suppose v + 14 + 0 = 3*y, -3*y + o = v. Let d be (v + 3)\/(((-4)\/4)\/191). What is d rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*l + 43*l + 55 = 5*j, 4*j = -4*l + 68 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 30*b - 1. Let o be l(30). Are o and 2\/147 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -227856 (base 15) in base 3?\nAnswer: -10002121012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 5*o + 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -0.5, 2, 98?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118\/7 or -16?\nAnswer: -118\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**2*m + h**2*s + 3*h*m*s - 10*h*s - m*s + m - 52*s with respect to h.\nAnswer: -2*h*m + 2*h*s + 3*m*s - 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 19*n + 67. Let l be v(14). Put -4, l, 4 in decreasing order.\nAnswer: 4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48.929 + 0.071. Let o = 48.24 - s. Let v = 0.24 - o. Which is smaller: v or -3\/16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4801370 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5003 + -756?\nAnswer: -5761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 26 = -3*i. Suppose 8 = 5*p - 4*d - 209, -4*p = -5*d - 170. Let j = -19 + p. Is i greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774 is divided by 193.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**3 - 1039*v**2 - 767*v + 8. Let b(w) = 2*w**3 - 693*w**2 - 511*w + 5. Let n(d) = -8*b(d) + 5*o(d). Find the second derivative of n(y) wrt y.\nAnswer: -6*y + 698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -b, -y = 2*b - 4*y - 7. Suppose -3*a - b = -23. Suppose 2*f + 2*r + 68 = a*f, 2*f - 42 = -r. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -1\/3 (b) -2\/87 (c) -2\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - b + 1. Let o(p) = p**2 + 4*p + 14. Let h(d) = -2*i(d) - o(d). Calculate the remainder when h(7) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*u - 2*l + 47, -l = -4*u - 37. Calculate the common denominator of 3 - 0 - (-41)\/u and -39\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 + 10*f + 3. Is c(-8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*t - 6*t + 51*t to w*t + f and give w.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*x - 95 = 5*p, 0 = -4*p - x - 59. Let h = p - -26. Calculate the least common multiple of ((-4)\/(-4))\/(6\/120) and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 12:45 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**4\/34 - 4*l**3\/51 + 3*l**2\/17 - 25. What is y in h(y) = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36781346 to the nearest integer?\nAnswer: 6065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.97 to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n. Let c(k) = -4*k**2 + 28*k - 131. Let i(a) = -2*b(a) - c(a). What are the prime factors of i(19)?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -102*k. Let g(l) = -7*l. Calculate g(v(z)).\nAnswer: 714*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 295*j + 891 = 299*j, -5*j - 855 = 5*a. Do a and -164 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217150 = -9*y + 3*v + 580804, -4*y + 161644 = 2*v. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -196*z**2 + 123*z - 178*z + 227*z**2 - 1 to the form a*z**2 + w*z + n and give a.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15679990\/9 or 1742222?\nAnswer: 1742222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42.2*-498.\nAnswer: -21015.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11200 - -21002212211?\nAnswer: 21002201011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/168*(-8)\/7\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 12. Let t be (3\/u)\/(1\/(-3)). Let g(o) be the third derivative of -o**5\/20 - o**3\/6 + 2*o**2 + 2. Give g(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (2 - 4) - 3) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 11. Suppose -i + 5*h = -630, 3*h = -2*i + n*h + 1244. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**3\/3 - 14*z**2\/3 + 35*z\/3 - 22\/3 = 0.\nAnswer: 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -250 (c) -0.1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002030622795 rounded to 6 dps?\nAnswer: 0.000203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -5) + (-9 - -7). Solve -20 = f - 5*f + 5*p, 8 = -h*p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13447 - -13450. Let g(i) be the first derivative of -15\/2*i**4 + 0*i + i**2 + 9 + 0*i**k. What is the second derivative of g(a) wrt a?\nAnswer: -180*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*27\/22680*(91\/(-6))\/(-13)*-3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*(r\/(r**(-12\/7)*r)*r)\/r)*r*r**(-22\/7)*r**8*(r\/r**10)\/r assuming r is positive.\nAnswer: r**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1*-3)\/((-1 - -6)\/(-45)) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j**2 + 1. Let t(d) be the first derivative of -d**4\/4 + d**3 - d**2\/2 - d - 1. Let i be t(2). Let f(z) = z**2 - 656 + 656. Give i*o(g) - 5*f(g).\nAnswer: 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f + 479*f**2 - f - 465*f**2 to m*f**2 + o + z*f and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*k = 1122422, 142*y - 144*y + 3*k + 561197 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 158*m**2 - 72*m + 13842. Determine v(-159).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.681*-4\nAnswer: -6.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*f - u + 67, -4*f + 56 = 2*u. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -u - 2*d, -2*d = -4*u + 1 + 7. Suppose 5*a = m - 5*m + 43, -5*a = -u*m - 61. What is the remainder when a is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15838 - -15844.739. Let u = z + 0.161. Let d = 7 - u. Sort -5, -3, d.\nAnswer: -5, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h - 2*h - 2*h**4 + 3*h)*(-6 + 4 + 1 + (-4 - 2 + 4)*(11 + 24 + 9)) in the form m*h**2 + w*h**4 + f + y*h + l*h**3 and give w.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 345*o + 106. Let n(u) = 690*u + 197. Give -11*a(r) + 6*n(r).\nAnswer: 345*r + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*d - 2*i - 3, -d + 21 = -3*i. List the prime factors of (0 - (-2140)\/d) + 6\/(-9).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 236 - 308. Does 26 divide (j*3)\/3*(-264)\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 1 + 8, 0 = -4*t - 3*s - 9. Find the second derivative of x + t*x**4 - 2*x + 3*x**4 wrt x.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -3)*(-3)\/(-21). Let q = -106 - -741\/7. Let g = 2.5 + -0.5. Sort j, q, g in increasing order.\nAnswer: j, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 7. Let u = 8 - f. Suppose 5*j + 11 = 2*j - 4*x, 2*j - u = 3*x. Let i(s) = -s. What is i(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3 - 18 = 0. Let x(y) = 2*y**3 + 3*y**2 - 5*y. Let c be (1 - (1 + -1)) + 1. Let d(z) = -4*z**c + 4*z + 3*z**2 - 3*z - z**3. What is r*d(w) - x(w)?\nAnswer: w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -51 and 0.0140394.\nAnswer: -50.9859606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -874.1 - -873. What is the third biggest value in -1\/3, 0.02, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 57. Suppose -3*k = 2*x + q, 0*x - 4*x = -2*k + 14. Is x at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8*v + 16 = 0. What is the remainder when 36 + 12\/3 + v is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319650 divided by 6.\nAnswer: -53275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-58 - (13 + -45)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f. Let t(a) = -19035942*a**2 - a. What is b(t(k))?\nAnswer: -19035942*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**2 - u**2 - 40*u**2 + 21*u**2.\nAnswer: -29*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40445233 (base 7) in base 14?\nAnswer: 63b253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -15*u**3 - 122*u**2 + 36*u + 343. Calculate h(-8).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(4\/7)*k\/k**0)\/(k\/k**(-3\/7)*((((k\/((k*k\/(k*((k*k**3)\/k*k)\/k))\/k))\/k*k)\/k*k)\/k)\/k))**(6\/11) assuming k is positive.\nAnswer: k**(-36\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5365847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 223*t**9\/504 + t**5\/60 + 6*t**3 + 16*t**2 + 6*t. Find the third derivative of z(q) wrt q.\nAnswer: 26760*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61845.96l to millilitres.\nAnswer: 61845960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 17*v + 13*v = -75, -v = i - 15. What is the highest common divisor of 27 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k**2 + k - 1. Let t be x(1). Suppose -5*d + 8 = -12. Let b = d - t. Which is smaller: b or -1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 7. Let m(g) be the third derivative of g**5\/60 + g**4\/6 - 5*g**3\/6 + 6*g**2 + g. Let c be m(w). Which is smaller: -1\/7 or c?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2754740 is divided by 135.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**4\/4 + 7*i**3\/6 + 8*i**2. Let p(w) = w - 1. Let z(f) = 4*p(f) + x(f). What is the first derivative of z(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3555 = -3559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239880617?\nAnswer: 43, 5578619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 14*o**2 - 16*o - 21. Let g be t(-15). Let k be 9\/g - 14\/(-4). Differentiate -10*r**k + 2240*r - 2240*r - 7 with respect to r.\nAnswer: -20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.352 - -0.052. Let c = 0 - 5. Sort -0.5, s, c.\nAnswer: c, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 97 = 4*j - 5*s - 9, j - 3*s = -50 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-56))\/(3\/(-2))*(-21)\/120.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4032982 and 16594.564.\nAnswer: -4016387.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43621666 is divided by 6231659.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397913 is divided by 71?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*z - 30, -z + 2 = -3*k - 16. Let a be (-24)\/(-20)*(-20)\/k. Suppose a*h = 4*c + 52, h - 30 = -4*c + 8. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - 1*sqrt(539))**2 + sqrt(132)\/(sqrt(12)*-3) + (6*sqrt(275)*4 + 0)**2.\nAnswer: -sqrt(11)\/3 + 158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15820 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -156, -362, -672, -1098, -1652, -2346, -3192?\nAnswer: -4202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 6:13 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -23*t**3 + 2*t**2 + 12*t - 9. Let y(a) = -20*a**3 + 2*a**2 + 10*a - 8. Let j(q) = -5*l(q) + 6*y(q). Calculate j(2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 498464 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 103*s - 3209. What is o(-128)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1393, 3, 1, -1.\nAnswer: -1, 1, 3, 1393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2617 and 4912?\nAnswer: 12854704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 11*a + 14. Suppose 3*u - u = -32. Let h = u - -26. Let y be w(h). Solve -y*r + 1 = -3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + (sqrt(99) - (sqrt(99) + -2)) + -3 - -5*(0 + sqrt(99) + -1 + sqrt(99) + (-2*sqrt(99) - sqrt(99)) + -4))**2 + 5.\nAnswer: 810*sqrt(11) + 3209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 64\/3. Let x(t) be the first derivative of k*t**3 + 0*t - 1 - 1\/2*t**2. Factor x(z).\nAnswer: z*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-11)\/(-3))\/(2\/18). What is the common denominator of 59\/6 and 6\/a + (-548)\/110?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 5*v - 1223. Let t = -101 + v. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2130*z**3 + 3*z**2 - 2135*z**3 + 2 + 2 - 3 in the form f*z**2 + g*z**3 + y*z + m and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 + 4 + 4 - 38) + -4 + 3.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*24*-24*(-25)\/1800?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.23 + -1935.\nAnswer: -1938.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/150696 and -55\/37674?\nAnswer: 150696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2)**(-24)\/(b\/b**(-3\/4)*b**(-2\/13)\/b) assuming b is positive.\nAnswer: b**(-2527\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 901 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 44*y - 2. Let b be z(1). Let q be (0 + 1)\/(21\/b). Solve 0*c - q*c - 2*u - 8 = 0, -4*c - 2*u - 8 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -0.4, 161, -2\/19, -1.051?\nAnswer: -1.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by 12982\nAnswer: 35\/12982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-4\/5)*(y*(y\/(y\/(y**(-4\/5)*y)))\/y)\/y*(y*y\/y**(-1\/3))**(-11\/4))**(4\/7) assuming y is positive.\nAnswer: y**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i - 64. Let n be j(9). Is n > 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-84) - 275\/140)*-4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.38444 years to months.\nAnswer: 40.61328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 3*z - 5*z)*(2*z**3 - 34 + 52 - 8*z - 22).\nAnswer: -2*z**4 + 8*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 3*u**2 - 2*u)*(-2*u + 1 - 12*u - 3)*(u**2 + 0*u**2 + 0*u**2).\nAnswer: 42*u**5 + 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 7) + (0 + -7 - -22)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + w + 8. Suppose 0*o = o - 4*z + 10, -w*z = 3*o - 12. Let n be 6\/15 + o\/(-5). Solve n = d - 4*i - 0*i - 17, 2*d + 11 = -i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6451?\nAnswer: 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 12\/27)\/(4\/(-6)). What is the nearest to 14 in -0.2, -0.4, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 40*l + 41*l + 0*l**2 + 20. What are the prime factors of p(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -208 times 26603\nAnswer: -5533424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10752160 divided by -672010.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**2 + 2*n**2 - 3*n**2 + (1 + 2 - 2)*(n**2 - 6*n**2 + 0*n**2) + (1 - 3*n - 1)*(3 - 3*n - 4 + n).\nAnswer: -6*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 479, 475, 471, 467?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 29.85. Let s = 10.2 - 11.84. Let w = i - s. Round w to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -114, -239, -414, -639?\nAnswer: -914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2188077 or 48137673\/22?\nAnswer: 48137673\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -38, -64, -138, -284, -526?\n\"Answer: -4*h**3 + 2*h - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.64847 - 49.35273. Let q = 51 + j. Round q to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 0 - 6. Let k = -37 - -63. Calculate the smallest common multiple of p and (3 - 0)*(-1)\/(-6)*k.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5\/5 - 108*t**4 - 33788*t**3\/5 + 141144*t**2\/5 - 178754*t\/5 + 14388 = 0. Calculate t.\nAnswer: -165, -109, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1460 is divided by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/772139 and 2\/8493529.\nAnswer: 8493529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -287.\nAnswer: 8\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -22642560?\nAnswer: -22642562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 57.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 705 - 1490 + 764 - 2*w.\nAnswer: -2*w - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 2 (c) 2.9 (d) 5 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a week in hours?\nAnswer: 4284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1982 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((3\/(-3))\/1). Suppose 0 = -2*g + f - 1 - 1, -2*g - 4*f - 12 = m. Does 19 divide ((-38)\/2)\/(g - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23086?\nAnswer: 2, 7, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)\/k**(2\/7))**19 assuming k is positive.\nAnswer: k**(-969\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.2.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5\/9 + 16*b**4\/9 + 16*b**3 + 374*b**2\/9 + 385*b\/9 + 46\/3 = 0. Calculate b.\nAnswer: -3, -2, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.54935 to 0 decimal places.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwsw. What is prob of picking 1 w and 1 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -37884 divided by 18942\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 11110010101001011?\nAnswer: 11110010101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -7 - (-15 - -18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 31*w - 450 = -7*w for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005826244 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 6 + -8 + 10 + -1 + 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33355\/66 + 3933\/11. Let x = k - -148. Sort -4, x, 0.1, 2\/7 in decreasing order.\nAnswer: 2\/7, x, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzu when three letters picked without replacement from zpuffiuzziii.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 497012998?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, -0.1, -128479?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -13*q**3 - 3*q**2 - 571*q + 1700. Calculate r(3).\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 3) in base 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - k - 1 = 0, 5*m - 1036*k = -1039*k + 19 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -654, -917, -1348, -2031, -3050, -4489, -6432, -8963?\n\"Answer: -14*u**3 - 165*u - 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, y: 2}. Give prob of picking 2 j.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1 + 7*a + 2*a**3 - 7*a**3 - 6*a. Determine n(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21986930 * -19\nAnswer: -417751670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 1708.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 2:19 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 14*j - 3*b - 2566, -5*j - b + 6432 = 0. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12084608 divided by -755288\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -61. Suppose 416*l - 32895 = -229*l. What is the remainder when l is divided by j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 4*s**2 - 6*s - 5. Let w be i(-5). Suppose w = -3*u - 2*u. Suppose z - 8 = -u*z. What is the highest common factor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 1) + (-6 - -12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7517177744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 7709 = -o + 7721, 2*m = o - 92 for m.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 16*w**3 - 2*w**2 - 2*w + 1. Give i(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + sqrt(768) + sqrt(768) + 0 + sqrt(12))**2.\nAnswer: 476*sqrt(3) + 3517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10*t - 10. Suppose 31 = -6*g - 119. Does 14 divide m(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 0*i**2 + 8*i**2)*(-3*i**3 - 119 + 119) + 2*i**2 + 3*i**5 - 2*i**2 + 2*i**5 + 3*i**2 - 3*i**2.\nAnswer: -16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-524)\/44*-46 - (-4)\/22. Let l = 771 - j. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/3)*w\/(w*w**24) assuming w is positive.\nAnswer: w**(-73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 149*c - 4151. Give r(112).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8268, 8255, 8242, 8229, 8216, 8203?\nAnswer: 8190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*n**2 + 56*n**3 - 59*n**3 - 27*n**2 - 2*n + 2 to a*n + d*n**2 + f + l*n**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/583 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -26. Suppose -4*l - 6 = 2*f, -f - 7 = -s*f - 2*l. What are the prime factors of 2 - (-5)\/(f\/(-22))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2780 + 37054*y + 835 - 35467*y wrt y?\nAnswer: 1587","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/17743, 5, 2, -4 in decreasing order.\nAnswer: 5, 2, 1\/17743, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37173 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 25983 and 26043 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*w - 3. Suppose -4 - 4 = -i. Suppose -13 = -w*p + i. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 14*g - 17. What is d(11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 185*u + 53. Let o be y(4). Suppose -5*j - 4*f = -1853, 2*j + 56 - o = -3*f. List the prime factors of j.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2 + d. Give y(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**3\/7 - 136*n**2\/7 - 618*n\/7 + 108 = 0.\nAnswer: -63, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21682 + 21676.0244. Round w to 1 decimal place.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 477*o - 9288 - 31735 - 4292 for o.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-15)*(4 + -3). Let s = -6.4 - 1.6. Let i = 12 + s. What is the closest to 8 in 1\/3, i, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 5:12 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 120681511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -8613986 and -8613973 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 - -83. Let g = q + -25. Let h = 186 + g. List the prime factors of h.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91066.8cm to nanometers.\nAnswer: 910668000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13909, -27652, -41395, -55138, -68881?\nAnswer: -82624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 6. Let a(o) = o**3. Let l(y) = -5*y**3 - 7*y**2 + 7*y + 7. Let c(j) = z*l(j) - 4*a(j). Does 16 divide c(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2517 + 13*u**2 - 2517 - 10*u**2. Let n(o) = 420*o. Give j(n(q)).\nAnswer: 529200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 - 9*k - 17. What is the tens digit of t(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(6) + (sqrt(486) - sqrt(486)*-5)).\nAnswer: sqrt(17)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 3. Let z = 4.9 + -4.897. Let g = z - 0.503. Put p, -2\/11, g in ascending order.\nAnswer: p, g, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -21. Suppose 6 = l*s - 9. Sort s, -2, 4 in descending order.\nAnswer: 4, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7302633 decades to centuries.\nAnswer: 0.07302633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(-30)\/(j**(-6)*j**1))\/((j**(-3)\/(j*j**(-5)*j*j))\/(j\/j**(-2\/5)*j**1)) assuming j is positive.\nAnswer: j**(192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 3\/5, -0.04, 4.9, 11, -7\/4?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -533, -801, -945, -923, -693, -213, 559?\nAnswer: 1665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4, 2533 = 3*b + 2*u - 708. Suppose 1665 = 2*c - 5*f, -f - b = 4*c - 4402. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*f = 253*f - 73980. List the prime factors of f.\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(2299) - sqrt(2299) - sqrt(2299)) + 4)**2.\nAnswer: -352*sqrt(19) + 36800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 0. Let c = -3.1 - n. Let x = 534980.7 - 534983. What is the second smallest value in x, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**2 - 10478*r + 83696 = 0?\nAnswer: 8, 5231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/34 - (-874)\/(-1938))\/(1\/(-15)). Let f(t) = 6*t + 1. Let d(m) = m. Let k(z) = 17*z + 1. Let p(i) = 6*d(i) - k(i). Calculate g*f(j) + 3*p(j).\nAnswer: -3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - 72. Let z = -90.61 - g. Round z to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3 - 22 - c - 20 to n + p*c and give n.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8045*i*o**2*p - i*o**2 - 61*i*o*p - 17*i*o - 4*i*p + o**2*p - 1540*o**2 - 20*o*p - 9*o + 3 wrt o?\nAnswer: -16090*i*p - 2*i + 2*p - 3080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = j - 6. Suppose -2*d + n = 0, 5*n = -0*d + 2*d + 16. Suppose 5*t = -k + 20, -4*t + d = 2*k - 14. What is the smallest value in t, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -54*i + 4. Let w be l(1). Let r be (4\/(-10))\/((-40)\/w)*-3. Factor 1\/6*f**4 + 1\/6*f**3 - r*f**2 + 11\/6*f - 2\/3.\nAnswer: (f - 1)**3*(f + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*o**6 - 42*o**5 + 40*o**2 wrt o.\nAnswer: -720*o**3 - 2520*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, a: 8, s: 4}. What is prob of sequence ccac?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*n + m - 116 = -65*n, 2*m = -3*n + 176. Calculate the remainder when 727 is divided by n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-23)*w*w))**(-1\/14)\/(w**(-23))**(2\/5) assuming w is positive.\nAnswer: w**(267\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**5\/20 + o**4\/6 - 2*o**3\/3 - o**2\/2 + 4*o + 9. Suppose 2*j + 5 = -3, 0 = 5*h - 3*j + 3. Determine d(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4918 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 n, and 1 p when three letters picked without replacement from tvppvpnpvp?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -527.43 + 527.4. Which is the closest to -2? (a) -2\/15 (b) x (c) 0.5 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -9. Is 306\/2*k\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -82?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31014031 - 1522?\nAnswer: 31012206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111001010111011 + -11110110000011?\nAnswer: 1011010100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1104260*u**5 + 2*u**3 + 3*u**2 - 337718*u - 20?\nAnswer: 22085200*u**3 + 12*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llvvoowcflfcof. Give prob of sequence vofv.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 3:57 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 94, 291, 688, 1351?\nAnswer: 2346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2422887 is divided by 2422771?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -5*p**8\/56 + 2*p**4\/3 - 6*p. Find the third derivative of j(o) wrt o.\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 - 11 = -4*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -13*v**2 - 10*v + 3. Let c(a) = 6*a**2 + 5*a - 1. Calculate -5*c(i) - 3*u(i).\nAnswer: 9*i**2 + 5*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7771691\/308 - 25233. Let h = i + -1\/77. Which is the fourth biggest value? (a) -3\/8 (b) h (c) -3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f - f + 2*f**3 + (-88*f + 10*f**2 + 88*f - 2)*(f + f - f) + 2*f - f**3 - 2*f as t*f**2 + w*f**3 + s + a*f and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -37543 times 1?\nAnswer: -37543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/95, 1\/3, 0.3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**2 + 11*x - 7. Let c(g) = -2*g**2 + 5*g - 3. Let b(n) = -5*c(n) + 2*j(n). Let k be b(2). Let r(a) = -k*a**3 + 7*a**3 + 4*a**3. Give r(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4963244 is divided by 663.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 9. Let s be f(7). Suppose 2*j - 2*t + t = -5, 7 = s*j - 5*t. Suppose 3*u - 15 = -2*u. What is the second biggest value in j, 0.1, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*m, -2*j = m - 1 - 5. Suppose -3*y + 1 = -j*y. Let b(k) = -k + 1. Let q(w) = -w**2 + w. Calculate y*q(h) - b(h).\nAnswer: h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -8*u + 3*u. Solve 4*t + 3*q = u, 2*t = q - 6*q + 21 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499*u**2 - 499*u**2 - 3201*u**3 + 4 - 6.\nAnswer: -3201*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 73. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - q - 15 = 0, -r - 29 = -105*q - 32 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 5*c**2 - c - 10. Let u be x(-5). Calculate the lowest common multiple of 20 and (4\/u)\/((-14)\/35).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -44, -35, -24, -11, 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2096082 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87994 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 5, -10 in decreasing order.\nAnswer: 5, 4, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -9*v. Solve v*h = h - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 - 569156*r**3 - 569157*r**2.\nAnswer: r**2*(r - 569157)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16634.49mg in nanograms?\nAnswer: 16634490000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1136, -1, 0, 2, -1\/10, 1.\nAnswer: -1, -1\/10, 0, 1, 2, 1136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1211 + -1211. Which is bigger: f or 26\/37?\nAnswer: 26\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*s - 124, -3*a = -s + 3*s + 191. Let c = 0.242 + -0.025. Let j = -0.317 + c. Which is bigger: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/446970 and 149\/234?\nAnswer: 17431830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 7 + 38 = -5*h, -5*h + 2*c - 30 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202110020122 (base 3) to base 15.\nAnswer: 7e442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20265594*d + 127*d**2 - 20265594*d.\nAnswer: 127*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 721280 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12569493 to the nearest integer?\nAnswer: 3545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*t + 1544 + 1156 = 940 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 632537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-2) - 65\/(-13). Suppose 4*d = 5*q, 2*d = k*q - 2*d. Suppose q = -8*r + 10*r - 188. What are the prime factors of r?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**4 - 30*k**3 - 24*k**2 + 30*k + 27 = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 5 + 52*g**2 + 3*g - 55*g**2 in the form a + h*g**2 + o*g and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 803 = -y + 2*c, -2*c - 2272 - 145 = 3*y. Let r = y + 1078. What is the greatest common divisor of r and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4)*s*s**2)\/(s**(-4)\/((s\/s**(-4))\/s))*(((s**3\/s)\/s)\/(s\/s**(-3\/4)))\/(s**(-2\/5))**(-19\/4) assuming s is positive.\nAnswer: s**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -303, -514, -725?\nAnswer: -936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 248473193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.234 + 0.334. Is y greater than -18\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3 - 1 - d + 8*d - 7*d**2 + d**3. Let g be a(6). Suppose 0*i = -g*i + 32. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10563753.\nAnswer: 3, 19, 241, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 - 29 = 24*f + 8*f, 19 = g - 5*f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1036400 and -71.\nAnswer: 73584400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 3*i + 4, 14171 = -2*i + 2*g + 14203 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48960.31 millilitres to litres.\nAnswer: 48.96031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 206\/4 + (-8)\/(-16) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*t + 0 - 47 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -33, 99, 2, 14 in descending order.\nAnswer: 99, 14, 2, 1, 0, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 7362068.005 to the nearest one hundred thousand.\nAnswer: 7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -133 - 42. Calculate the common denominator of 9\/10 and (-640)\/i + 3\/(-15).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**3*m*w + 17*i**3*m + 6*i**3*w - 7*i**3 - 239*i**2*m - 1324*i**2*w - i*m wrt i?\nAnswer: -6*m*w + 102*m + 36*w - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(2\/59)*((m*m**(-2\/13))\/m*m)\/m**(2\/3) assuming m is positive.\nAnswer: m**(7\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2+-0.14690344\nAnswer: 1.85309656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 1:05 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357034 and 6256.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 57.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 758 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1609 + 1608.52. Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9276 is divided by 1543.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14844*h**2*t + 11*h**2 - 20*h*t + 28143112*t wrt h.\nAnswer: 29688*h*t + 22*h - 20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2393 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 5*v + 4. Let j be u(4). Let l(k) = -k**3 + 5*k**2 - 3*k - 3. Let s be l(4). Which is the nearest to s? (a) 3\/2 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15632251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11344344 is divided by 1898?\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 3*a**2 + 2. Let y(i) = -9*i + i**2 + 9*i. What is y(b(m))?\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/95*2*1. Let r = 6 + -4. Suppose -3*h - 2 = -z - z, -r*h + 2*z = 4. Which is the closest to -1? (a) h (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 24*t - 5. Let b(k) = 156*k - 32. Give -5*b(c) + 32*p(c).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5808788 is divided by 56396?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 30*n - 5 - 4 + n. Let w = 1727 - 1721. What is the units digit of t(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 + 6*c + 9. Let h(d) = -4*d**2 - 6*d - 9. Let k(x) = 2*h(x) + 3*s(x). Factor k(v).\nAnswer: (v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2*r)\/(((((r*r*r**(1\/7))\/r)\/r)\/r*r)\/r))**(15\/11)\/((r\/((r**(1\/2)*r)\/r*r))**(-2\/29)\/(r**(-2\/29)\/r**(2\/23))) assuming r is positive.\nAnswer: r**(260356\/51359)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135641 is divided by 11963?\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -745?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 15) to base 10\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -18272*d + 36428. Give k(2).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110 (base 2) to base 9.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.00911 + -0.009. Round x to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-9))\/(8\/(-18)). Suppose 6 = y - s. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60 + 3315\/153)*(-18)\/15.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41504 (base 6) to base 15.\nAnswer: -19c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 2 - (9 + -2 + (-37 - -14) + 22)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, -12, -14, -12, -6, 4, 18?\n\"Answer: 2*g**2 - 12*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 7064?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 455722 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-30)\/8 + 4)\/1. Let w = -695 + 677. Which is the nearest to -1\/2? (a) z (b) w (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39082701 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53381 divided by -783?\nAnswer: -53381\/783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**4 + 28*a**4 - a**4 + (-a**3 + 2*a**2 - 2*a**2)*(3*a + 4*a + a) to q*a + z*a**4 + b + n*a**2 + l*a**3 and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c**2 - 4*c + 20. Let r(q) = -4 + 6*q - 5*q + 5. Let u(f) = a(f) + 4*r(f). Differentiate u(h) with respect to h.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 212 + -140. Suppose -13*g + 506 = -664. Calculate the highest common divisor of r and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 3*f**2 - 2*f. Let o be x(4). Let i = 2 - o. Let q(h) = h**3 + 6*h**2 + h + 6. Let t be q(i). Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 414440588?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101011 - 100110001101001?\nAnswer: -100110111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*k = -26311 - 10329. Let j = k - -2388. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.5 (b) -0.3 (c) 0.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -99 (base 14) to base 3\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -2*s - 8*m, 4*s - 321*m + 316*m = -22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1001 and 924?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53878 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 + 55*j - 3. Let b be h(-19). What is the second derivative of b*c - 14*c + 21*c - 58*c**2 wrt c?\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -245.96 - -254. Let o = h - 6.8. What is o rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 8:43 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 751 - 724. Calculate the lowest common multiple of o and (-48)\/1*(-1)\/2.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 5 = 31. Let f(d) = 3*d**5 - 7*d**4 + 4*d**2 - 4. Let v(p) = -p**5 + p**4 + 1. Let t(w) = n*v(w) + f(w). Solve t(b) = 0 for b.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -7*u + 7. Suppose l - 2*l = -u. Suppose 4*b + 2*c - 114 = 0, 32 = l*b + 3*c - 111. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvb. What is prob of picking 2 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 4:33 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 10:18 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13920 + 1806?\nAnswer: -12114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccy when three letters picked without replacement from {c: 2, y: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/198 and -23\/726.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(32\/(-12) + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -2*g**6 - 119*g**5\/30 + 8*g**2 - 3*g. What is the third derivative of w(h) wrt h?\nAnswer: -1440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**38\/s**(-14)*s**(1\/34)*s*s**(6\/7)\/s*s*s assuming s is positive.\nAnswer: s**(13063\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.36905 nanoseconds in microseconds?\nAnswer: 0.02936905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 + -58. Let i(d) be the third derivative of 0 - 1\/60*d**5 + 0*d**4 + 4*d**a + 0*d + 1\/6*d**3. Differentiate i(r) wrt r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 245, 494, 731, 950, 1145?\n\"Answer: -f**3 + 256*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*b - 2. Suppose 3*w = b*w + 22. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -472?\nAnswer: -2360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65898298?\nAnswer: 2, 32949149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 12590\/3)*15\/(-10). Let i = -214095\/34 + r. What is the common denominator of -1\/14 and i?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5492 (base 13) to base 2\nAnswer: 10111000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -328*z**3 + 24*z**2 - 8*z - 16. Let u(n) = 3*n**2 - n - 2. Give -m(s) + 8*u(s).\nAnswer: 328*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.138 and 2718737423.\nAnswer: 2718737422.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/(sqrt(9)\/sqrt(3)))\/sqrt(11))**2 + (sqrt(50) - (sqrt(5000) + -1 + sqrt(5000) + sqrt(5000))).\nAnswer: -145*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -21*s - 5. Let r(a) = -104*a - 28. Let l(v) = -v - 1. Let b(z) = -8*l(z) + 2*r(z). Determine -5*b(f) + 48*h(f).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -138313194*h + 111280014 wrt h?\nAnswer: -138313194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/(sqrt(6)*-3))\/(-3*sqrt(729)).\nAnswer: sqrt(5)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**2 - 6*b - 6. Let s(q) = 7*q**2 + 13*q + 12. Determine 9*j(l) + 4*s(l).\nAnswer: l**2 - 2*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (-2013)\/(-693)*-7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m - 13. Calculate v(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.8 (b) 1\/2 (c) -0.13 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 divided by -2?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 0*g - 5. Suppose 2*u + 4*d = 41 - 9, -2*d = 2. Let y = -1 - -4. Solve 5*z - u = -4*a, 16 = -0*z + g*z + y*a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o**3 - o**2 - o - 2. Let j be s(-2). Let d be ((-11)\/(-44))\/(-1) + 2379\/12. What is the greatest common divisor of d and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -11*m - 4. Let n(y) = -5*y - 2. Let d(j) = 6*c(j) - 13*n(j). List the prime factors of d(-19).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 16 = -4*v. Let o = -2 + v. What is the units digit of (-1)\/(-2 + o - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 16*y + 327. Determine u(-24).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -96*h + 5. Let d(m) = 11*m + 11502. Give r(d(c)).\nAnswer: -1056*c - 1104187","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 - 4)*(-30565)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d - 5*d + d + (5 - 2 - 2)*(-2*d + 3*d + d) - 4 - d + 4 + 89 - 89 + 13*d + 4 - d - 4 + 3*d - 5*d + d in the form l + s*d and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*n**5 - 32*n**4 + 2*n**3 + 32*n**4 + (2*n**3 - 2 + 2)*((-4*n + 3*n - n)*(n + 0*n + 0*n) + 8*n**2 + 3*n**2 - 3*n**2).\nAnswer: -15*n**5 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = j + 6*t, 3*j - 4*t + 5 + 9 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bssvsvsssvvsvvvbbv. Give prob of sequence bv.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 408270?\nAnswer: 408270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.28 - 0.3. Let p = l - 0.01. Let j = p + -1.97. What is the second biggest value in 4, j, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -175, 1, -2 in descending order.\nAnswer: 1, -2, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 18 = z, 5*z + 5*p = 3*p + 9. Let n be ((-4)\/(-6))\/(z\/18). Factor -2*h**2 + 10\/3*h - 2\/3*h**3 + 2\/3*h**n - 4\/3.\nAnswer: 2*(h - 1)**3*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204 * -54\nAnswer: 11016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 130 + 307. Suppose 7*u - k - 1278 = 0. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.132 + 2.632. Which is the third biggest value? (a) k (b) 18\/5 (c) 2 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 73267765, 146535530, 219803295, 293071060, 366338825, 439606590?\n\"Answer: 73267765*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-482)\/(-10))\/((-48)\/60). Let o = 60 + r. Suppose 5*b + 2 = -3. Which is greater: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 228689448 to the nearest integer?\nAnswer: 15122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - ((1 - -12) + 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + j + j = -39, j = 5*u - 72. Suppose 15 = 5*o - u. Let r = -3 + 24. Solve o = -5*t + r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + -1 - (1*sqrt(1573) + sqrt(1573)))**2.\nAnswer: 26*sqrt(13) + 2198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*l - 32 = 67*l. What is the nearest to 18\/17 in 3, 4, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssgs. What is prob of sequence gs?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9574530 = 4*w + 3*o - 7413960, -w + o + 4247126 = 0. Let k = w - 7257124. What is k rounded to the nearest one hundred thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) 0.1 (b) -2 (c) 0.3 (d) 0.227\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgzg. What is prob of picking 1 w and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oamjpjapiap. Give prob of sequence jjpp.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 243 - 234. Suppose -376 = -3*h - k, -d*h - 251 = -11*h - k. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-55290\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -265*g**2 - 5287*g + 261. Let m be k(-20). What is t in 5\/2*t**3 - m - 1\/2*t**4 - 9\/2*t**2 + 7\/2*t = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202840 (base 10) to base 14\nAnswer: 53cc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-3 + 0 + (11 - 6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**2 + 5*t + 5. Let l(s) = -2*s**2 + 3*s + 3. Calculate 5*l(w) - 3*y(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1484799?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 2955?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from kkmkkblzbllzhl?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 2045186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -34?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -88 - -145. Suppose 4*y - 529 = 3*s, 225 = 2*y + 2*s - f. Round y to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 695 + 699 = 0. Let s(y) = -y**2 + 3*y + 3. Calculate s(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10649513.\nAnswer: 7, 217337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 261842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/9 (b) -10 (c) -8 (d) 3 (e) -1\/8 (f) -61\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 527763, 1055499, 1583235, 2110971, 2638707, 3166443?\nAnswer: 3694179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.014 + -0.014. Which is the nearest to 1\/3? (a) -2\/7 (b) -0.1 (c) i (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c. Let h(b) = 8*b. Let j(f) = 4*h(f) + 11*m(f). Let s(k) = 2*k**2. Calculate s(j(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 269*h**2 + 6*h + 14*h - 18*h to the form z*h**2 + d*h + o and give z.\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/60, -3, -0.23, 1\/4.\nAnswer: -3, -0.23, 1\/60, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*s**2 - s**2 + 4*s**3 + 5*s**3 + 2*s**3 wrt s.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oto. What is prob of sequence to?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 4*h**2 + 15*h - 58. Determine b(6).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (8 + 0 - (-39 - -60))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3336672 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 22*f - 92725 = -19*f, 2*f + 139075 = 3*c. What is the ten thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 27. Let f(t) = 44*t - 3. Let z(b) = 45*b - 3. Let l(x) = d*z(x) - 7*f(x). What is the remainder when l(-1) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from susuvhhhvuuzzhhhz. Give prob of picking 1 v and 1 z.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -607036552*k**2 - 1340571692*k wrt k.\nAnswer: -1214073104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -123\/5? (a) -1\/3 (b) -7 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + ((-88)\/(-28))\/(-1). What is the closest to 1 in 4, g, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**4\/12 + 10*l. Let q(x) = x. Determine b(q(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkncw. What is prob of sequence cb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 840.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, 0.1, -13, 0.18, 6\/5, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 1:27 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/159 and 79\/10?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14580220 divided by -35?\nAnswer: 2916044\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + l = -500, 2*z + 3*l - 115 = 149. Suppose 4*p + s - 59 = 0, -5*p - 2*s + 5*s = -61. What is the greatest common factor of z and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(-3 + 1 + 1)*(j + 0 + 0)*(1 - 21*j**2 + 31*j**2 - 6).\nAnswer: 10*j**3 - 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kugkukr. What is prob of sequence urkk?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 4*q + 2. Determine s(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12*a + 52. Let h be b(5). Let o be 57\/9 + 3 + h. Let 8\/3 + 4\/3*i - o*i**2 = 0. Calculate i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1429283 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {j: 1, g: 1, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**2 + 11*z - 10. Let j(k) = -k**2 + k - 1. Let t(o) = -5*j(o) + s(o). Give t(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2 = -a, 2*s - 5*s - 3*a = -15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbmmppbm. What is prob of picking 1 p and 1 m?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -18 (b) 2623 (c) -4\/3 (d) -1 (e) -83 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -7*o**4\/24 + 8*o**2. Let j(i) = 2*i. What is j(m(z))?\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 4. Let i(k) = k**3 - 5*k**2 - k + 7. Let v be i(5). Let y(s) = 2*s - 4. Let c(u) = -u + 1. Let p(r) = v*y(r) + 6*c(r). Give p(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5*21\/70)\/((-3)\/(-86)). Which is bigger: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(6\/(-8)))\/((-3)\/126). What is the second derivative of 4483*z**2 - y*z**3 - 36*z - 4483*z**2 wrt z?\nAnswer: -336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.142 times 85099?\nAnswer: -863074.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3222.2 - -3222.2000015379. What is m rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16484.1 less than 3?\nAnswer: -16481.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11911605 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b9a - 37d?\nAnswer: -1028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 7 = -r. Let w = r + -7. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaf when three letters picked without replacement from {f: 3, a: 3, h: 1, n: 1, e: 5}?\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 98348900.\nAnswer: 98348900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-14))\/((-87)\/21 - -4). Factor 404*l**3 - 8*l**g - 342 + 54 - 336*l - 368*l**3 - 4*l**4.\nAnswer: -4*(l - 6)**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34743*n**3 + 4235*n + 1?\nAnswer: -208458*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7881.\nAnswer: 3, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a2 + -18?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 4*q**2 - 3. Let j be (16\/6)\/((-22)\/33). Give h(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1092 by 52.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -142936105 and -0.1.\nAnswer: 14293610.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2. Let p(r) = 2 - 130*r**2 - 2 + 74*r**2. What is q(p(t))?\nAnswer: 6272*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 7 = -9. Let o be (-230)\/(-2) - (4 - h). Let k = -36 + o. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + m + 1)*(-2*m - 2*m + 2*m) - 4*m**2 + 3*m**2 + 2*m**2)*(153*m + 58*m + 0*m) - 4*m - 9*m**3 + 4*m.\nAnswer: -220*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k\/(k**7*k*k)))*k)\/k**(-2))\/(k*k**(-3)*k*k\/(k*k*(k**(-3\/2)\/k)\/k*k*k)) assuming k is positive.\nAnswer: k**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/4)*k*k*k*k*k**(-5))\/((k\/(k*k**(2\/7)*k*k))\/k**(-6)) assuming k is positive.\nAnswer: k**(-153\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12 - 16)*111\/(-4). Suppose 105 + t = 18*h. Calculate the remainder when h is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from {g: 1, d: 1, z: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -526.3 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 381, 332, 283, 234?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 280486?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 7 + c - 5*c in the form s + z*c and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h - 2. Let s(l) = -l - 8. Let t be s(-4). Give f(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/766 and 85\/766.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 128 + 328 = 0. Let o = b + -21. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126 by -3.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-41)*(c*((c*c*c**3)\/c)\/c)\/c*c*c*c*c*(c\/c**(-8))**20 assuming c is positive.\nAnswer: c**146","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 10*n - 5. What is the remainder when 53 is divided by d(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 h, 1 n, and 1 c when four letters picked without replacement from {w: 1, h: 1, c: 1, k: 1, n: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 19*f**2 - 20*f + 10. Give u(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -432851, -432798, -432709, -432584, -432423, -432226?\nAnswer: -431993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 5 + -11 + 1 + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 289*o**2 + 1790*o - 4172. Give t(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6aca3 (base 13) in base 4?\nAnswer: 233232221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 110008.\nAnswer: 550040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 0 - 476731*n + 473149*n to x*n + j and give x.\nAnswer: -3582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/2 and 510\/72 - 3\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 0.042774004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + x + 26, 3*n - 2*x = 2*n - 11. Let i(r) = -196*r + 19. Is i(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002065 to 6 decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -454 - -645. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116 (base 8) to base 12.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/24 - (-11)\/4. Suppose s = -3*p + 3*n, 3*n = p - n + 7. Let u be (p\/(-3))\/(3\/(-36)). What is the greatest common factor of 32 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h. Let u be (6\/(-1))\/(9 + -11). Let g(o) = -6 + u*o + 6. Let v be 46\/115 - ((-84)\/(-10) + -2). Calculate v*p(x) - 5*g(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*b - 13*b - 4*b**5)*(2 - 2 + 1)*(-17 - 28 - 23).\nAnswer: 272*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31504104*j + 60508877 wrt j?\nAnswer: 31504104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 39*m + 50. Calculate the remainder when 3117 is divided by v(38).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 h when four letters picked without replacement from {j: 2, k: 2, h: 1, r: 1, d: 6}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 617\/5, 1\/3, -0.4 in increasing order.\nAnswer: -0.4, 1\/3, 617\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0074087 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 78*h**2 + 3*h + 3. Suppose 3*m = -4*l + 21, -4*m + 13 = 4*l - 11. Let p be s(l). Suppose 0 = 5*v + 3*d - 866 - p, 5*v = 5*d + 1620. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -22. Let o be 1 + 2 - (-7 - g). Solve -7 = 2*q + o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 12 = -2*r, -4*o + 4*r = -5*o + 1. Let u = -1472 + 7392\/5. Is u smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/3 + 1064813*v.\nAnswer: -v*(v - 3194439)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -173708, -697121, -1569476, -2790773, -4361012, -6280193, -8548316?\n\"Answer: -174471*q**2 + 763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2053 (base 12) in base 7?\nAnswer: 13155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzg when three letters picked without replacement from gcugdzcgguzcccccccuu.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36660 - -36682.973. What is w rounded to zero dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v + 2*v - v + (1 - 2 + 0)*(v - 1 + 1) + 0*v - v - v - 55*v - 11*v + 7*v - 3*v + 3*v + v + (0 + 2 + 0)*(3*v - 4*v - v) in the form i + a*v and give a.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-236)\/(-10))\/((-9)\/(-45)) + -2.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 31. Suppose -n*l = -h + 1, 3*l - h = -0*l. Is l at most 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 + 7*v + 14*v - 22*v + 2*v**2 - 5 in the form f + h*v**2 + t*v**3 + j*v and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6112239853 to the nearest integer?\nAnswer: 1828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 130213112032?\nAnswer: 130213112031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1646516 divided by 3847.\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.2 - -0.2. Let s = -4.1 - k. Let t = -11 - -6. Which is the nearest to s? (a) -0.5 (b) t (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -90*n**3 + 18*n**2 + 833*n. Let u(z) = 91*z**3 - 16*z**2 - 837*z. Let k(g) = -8*i(g) - 9*u(g). Find the second derivative of k(x) wrt x.\nAnswer: -594*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0 - 4 = 0. Let l be 5 - ((-4)\/(-2) + -3). Let a be (18\/12)\/(l\/8). Solve -4*w - z*j + 10 = a, 5*j + 10 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b - 18*b**2 - 1 - 11 + 13 + 2*b**2 - b**2 + b**2 + 3*b**2 - 5*b**2 + 4*b**2 + (-3 + 3 - b)*(-4*b + 4*b + b) in the form v + l*b**2 + t*b and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-5479\nAnswer: 2191.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 642635143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3243596 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: Let z(f) = 8*f + 4. Let p(t) = -t + 1. Let q(w) = 15*w - 7. Let i(l) = -6*p(l) - q(l). Let k(h) = 18*h - 1. Let u(g) = 11*i(g) + 6*k(g). Give -6*u(v) + 7*z(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 21*d**2 + 661*d - 12742. Determine z(20).\nAnswer: 878","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 7*f - 8. Calculate y(10).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/11)\/u**(-6)*u**8*u**(-2)*u*(u\/u**1*u**(3\/2))\/(u**(-1\/2)*u\/((u\/(u**6*u))\/u*u)*u) assuming u is positive.\nAnswer: u**(79\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 4*m**2 + 2. Let s be z(-6). Let u(q) = -2*q**2 + s - 74. Let p(o) = 17*o**2. What is u(p(y))?\nAnswer: -578*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26330 is divided by 393.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2 - 1) + -23 + (-27 - 28 - -59)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 137\nAnswer: 13.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in -24\/5, -2\/13, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 539*v**4 - 7019*v**3 - 2007095*v**2?\nAnswer: 12936*v - 42114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*i - 86 + 79 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 2 (c) -0.31 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 8, 21063, -9\/2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -365 + 379. What is the least common multiple of 44 and s?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 2:47 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 36*y + 157. Suppose -52 = -2*s - 2*m, -5*s + 3*m + 160 = 2*m. Let n be h(s). Solve 3*r + 1 = n*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3)\/(-6))\/((-1)\/(-38)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 20 - 8. Let y be b\/(-3) + (0 - -4). Factor -2\/3*p**2 - 2\/9*p**4 + 2\/3*p**3 + 2\/9*p + y.\nAnswer: -2*p*(p - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, f: 2, b: 1, s: 1, m: 2, w: 1}. What is prob of sequence bw?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 146209 - 62287. Round z to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2 - 91*w - 12 + 7 - 21 in the form h + q*w and give q.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1117.1 - 1120.8. Which is the third biggest value? (a) 2 (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 12 + (405 - 443)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u*v**2 - 3805*u*v + 10*u - 13 wrt v?\nAnswer: 2*u*v - 3805*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 3:37 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*14\/(-56) - 22\/(-84)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24480 and 912?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17977 or 1285?\nAnswer: 17977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 139.3 and -4.\nAnswer: -557.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -666, -2195, -5160, -10041, -17318?\nAnswer: -27471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -251332 (base 6) to base 10\nAnswer: -22376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -466 - -709. Let s = -242.999999919 + g. What is s rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, 321048, 4, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 941693265727596 + -0.4?\nAnswer: 941693265727595.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*r**2*w**5 + 27*r**2*w - r*w + 13*w**5 wrt w.\nAnswer: 280*r**2*w**3 + 260*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-166)\/(-8) - 20 - (-341)\/4. Calculate the greatest common divisor of w and 3182.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 1675*g - 1672*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0058152 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 17*z + 50. Suppose 4*n = j - 12, -11*j = -4*n - 6*j + 4. Let x be f(n). Sort 12, x, 3 in descending order.\nAnswer: 12, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.12, 0.4, 4, -0.092, 0.0823?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34944 is divided by 257.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 17 - 18)*(-n**3 + 0*n**3 - n**3)*(-23 + 20 - 37) as o*n**2 + d*n + l + s*n**3 and give s.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3285174 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: What is the value of -151 + 158 - (6 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**5\/170 + d**4\/34 + d**3\/51 - 3*d**2\/17 + 8*d. Suppose y(u) = 0. Calculate u.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8146785587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 divided by -104?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -9\/553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 467, 433, 351, 197, -53?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18803 or -18804?\nAnswer: -18803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -76787.74 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 4 - 26. Calculate the remainder when 57 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*n + 360, 2*h = 5*n - 605 - 26. Suppose -n = -o - a, 2*o + 3*a - 62 = 187. What is the greatest common factor of o and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16282712 minus -0.111?\nAnswer: 16282712.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -8*i + 12*i, 7*l = -4*l + i + 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - (sqrt(1377) + 0 + sqrt(1377)))**2*-5 - (sqrt(153)*-4 + -2 + sqrt(51)\/sqrt(3))**2.\nAnswer: -8946 - 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 9 = -6*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21 + 248*m - 196*m - 22 + 285*m)*(3*m - 3*m - m) to c*m + y*m**2 + h and give y.\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -0*k - 3*k. Let n be 176\/k - 4\/14. Solve n - 4 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 371 by 4.\nAnswer: 371\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(2\/4 + -2). Let l be (-5 - -10) + a + 3. Solve -9*c = -l*c + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2500 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from {d: 1, v: 1, f: 1, o: 1, e: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 m, and 1 h when three letters picked without replacement from qsfshem?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 22*y**2 + 3*y - 6. Let o be l(4). Suppose -c = 3*g + 306, 0*g + 2*c + 107 = -g. Let z = g + o. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a millennium in decades?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r + 84. Let d(x) = x**3 + 22*x**2 + 5*x + 35. Is d(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*l**3)*(3 - 1 + 0) + 5*l - 6*l - 6*l**3 + 5*l.\nAnswer: -2*l**3 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert a254 (base 12) to base 3.\nAnswer: 220012001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 8*l + 24. Let k(o) be the first derivative of 5*o**3 + o**2 + 5*o + 6. Is k(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 74808, 149812, 224830, 299868, 374932, 450028?\n\"Answer: j**3 + j**2 + 74994*j - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*r - 18917 = 317*r + 16911 for r.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1187 - -1215. Which is bigger: k or -16?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifteen quarters of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -21 + 3\/(-3) + 1. Is m <= -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 178072515?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-5 + sqrt(1872) + sqrt(1872)*2)**2 + sqrt(1872) - (-2 + (sqrt(1872)*-2 - sqrt(1872))) - (sqrt(52) - sqrt(832)*-2)*-4).\nAnswer: -240*sqrt(13) + 16879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 - 349\/4. Let n = -485 - -10183\/21. Which is the third biggest value? (a) 1 (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -216, -433, -650?\n\"Answer: -217*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (4 - (2 - 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1380 = -2*b - 2*l, -3*b - l + 1618 = -446. Suppose 1085 + b = 4*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**5\/20 + 5*v**4\/6 - 5*v**3\/6 - 9*v**2\/2 - v. Let h = -32 - -41. List the prime factors of g(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (-3)\/6)*-2. Suppose 4*i - 16 = p*i. Suppose -776 = -4*g + 2*x, -139*x = 3*g - 144*x - 596. What is the greatest common divisor of i and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3\/7 + 28824*q**2\/7 + 5944860*q\/7 + 302276032\/7.\nAnswer: -4*(q - 7408)*(q + 101)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(432) + 4)**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.06, 83\/2, -4, -2\/15.\nAnswer: -4, -2\/15, 1.06, 83\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 125.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/39199 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62092, -62064, -62018, -61954, -61872?\nAnswer: -61772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 17*h + 21. Let g be l(16). Suppose -2*f - 2*u + 90 = 0, u = 6*f - g*f - 45. Is 15 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18460 and 1560.\nAnswer: 110760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 1 = -n. Let h be (-3 - n\/(-3))*-3. Let x = h + 31. Is 27 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6\/11, -0.4, 1\/6, 10\/3, 6\/17, 5, -0.19?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74467\/18 + -4136. Calculate the common denominator of 1\/34 and y.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/11, 0, -2\/31, -11, -21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**24*w**(3\/22) assuming w is positive.\nAnswer: w**(-503\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4208?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/22 and 19\/126414.\nAnswer: 1390554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 274\/10 - -1*8\/(-20). Suppose y*l = 25*l + 14. Is -2 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 6, 292*s - 297*s = -4*n - 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -284 and 26.2634703.\nAnswer: -257.7365297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 22 = -4*a, -8*s - 920*a + 918*a = -22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuiu when four letters picked without replacement from {u: 3, i: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -20\/65731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 544585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t - 27*t = 3*j + 41, 0 = -5*t - j - 27 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.2 - -5. Let k = 2.6 - 2. Let m = -0.1 + k. What is the third smallest value in -5, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -12035?\nAnswer: 3\/2407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15792)\/(-120) - (-3)\/(-5). Let c be 1007\/(-15) - (-4)\/30. Let h = l + c. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g**3 + 50*g**2 - 20*g - 40 = 0 for g.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12717\/23 + (-4)\/(-46)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80*k**4 - 10*k**3 + k**2 + 74404 wrt k.\nAnswer: 320*k**3 - 30*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -102?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b = -41. Let v = 66 + b. Let c = -5 + v. Solve 4*g - c = 5*p, -6*p = -p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010000001 - 1101111001000000?\nAnswer: -1110000011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooormmrmdt. What is prob of picking 2 o and 1 t?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1788\/8 - -4*(-3)\/(-24).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (6 - 0) - (-4 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6270, -6271, -6272, -6273?\nAnswer: -6274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/3781487 and 57\/63130.\nAnswer: 37814870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u - 32*u = 12. Find the third derivative of s + 104 - 3*s - 104 - 37*s**2 + 76*s**u wrt s.\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6331.787 millennia in years?\nAnswer: 6331787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61.719453 + 0.276247. Let i = -62 + y. Round i to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -26. Solve 18 = 4*f - h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -17*k**2 - 7*k + 6. Suppose 752*f + 4785 = 273. Let p(v) = -18*v**2 - 8*v + 7. What is f*r(j) + 5*p(j)?\nAnswer: 12*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -0.5, 8\/3, 0.24648, 0.7, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k = m - 119, -m + 10 - 22 + 10 = 0 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + d - 1. Let h(m) = 2*m**2 - 3*m + 3. Let y = -30 + 36. Suppose 56 = -5*k + k. Let n be y\/(-4)*k\/(-21). Determine n*h(a) - 3*b(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 10*a**2 - 10*a - 13. Let b(v) = v**2 + 5*v + 7. Let d be b(-5). Suppose -5*n = -62 + d. Let f be l(n). Put 5, f, -5 in increasing order.\nAnswer: -5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*q + 195 = -46*q. What is the greatest common factor of q and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6588839 = 15*t - 33*t - t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14575 - 33*d**2 - 7291 + 164*d**2 - 7283.\nAnswer: 131*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1464299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggug when four letters picked without replacement from {u: 4, k: 3, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*y + 1462 = 0, -l - 3*y + 249 = -250. Let k = l + -324. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 - 16*g**2 + 4*g - 28. Let p be z(8). Suppose -22 = p*t - 38. Solve t*y - 64 = -84 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 + 2*b**2 - 3*b**2. Suppose 3*i - 1 = -2*p, 0 = 2*i + 2*p - 0 - 2. Give w(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11480297, 22960605, 34440905, 45921191, 57401457?\nAnswer: 68881697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1642156, -1642164, -1642172, -1642180, -1642188, -1642196?\nAnswer: -1642204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + s + 3)*(2 - 1 + 0) - 6332*s - 765664 + 765664 as k + j*s and give j.\nAnswer: -6331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (698\/388437)\/((-4)\/84).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 3*m**2 + 3*m - 2. Let q be f(-4). Suppose -q*r + 818 = 5*l, 2*r = 4*l - 2*l - 316. Is 163 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18424401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5\/7 + 12*t**4\/7 + 44*t**3\/7 - 480*t**2\/7 - 1600*t\/7.\nAnswer: -t*(t - 10)**2*(t + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 1, -0.03, -113, -46, -2.\nAnswer: -113, -46, -2, -4\/7, -0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y - 2*y + 5*y)*(0*y**2 - 5*y**2 + y**2) + (3*y**3 - 3*y**3 - 2*y**3)*(3 - 2 - 3).\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - j - 60 = 285, 0 = -x - 5*j + 167. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 14)*(-1 + 1 + 2*k**2)*(-4 - 9 + 4).\nAnswer: -288*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1406*j**3 + 7*j**2 - 53*j**2 - 18*j**2 - 2813*j**3 + 1406*j**3 - 37*j**2.\nAnswer: -j**3 - 101*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172527737?\nAnswer: 211, 263, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1074 and 2861673.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 2:12 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-41 + 31 - (-39)\/(-3))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 + 911 = 4*b. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 534272 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 25 = 4*k. Let l(o) = 50*o**5 + 115*o**4 + 68*o**3 - 13*o**2 - 23*o - 4. Let t(f) = f. Let s(g) = k*l(g) - 15*t(g). Solve s(h) = 0.\nAnswer: -1, -2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 275, 242, 209, 176, 143, 110?\n\"Answer: -33*y + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1035 - -1040. What is the remainder when k is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.411 + -19.689. Let o = 112.184 + i. Let h = o - 92. Round h to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.79 - 0.19. Let g = -4.6 + i. Put g, 1, -1\/4 in decreasing order.\nAnswer: 1, -1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2\/17 (c) 4 (d) 0.02 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 20*y**2. Let t(h) = 927*h - 7. Determine x(t(i)).\nAnswer: 17186580*i**2 - 259560*i + 980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 113.023 and 279252.2.\nAnswer: 279365.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589082192.\nAnswer: 2, 36817637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 7*r - 585. What is the remainder when 4609 is divided by g(-24)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225.1 - 1.01.\nAnswer: 224.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3)*z)**11\/((z*z**1*z)\/z)**(-10\/7) assuming z is positive.\nAnswer: z**(137\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/10889 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40, 40, 46, 64, 100, 160, 250?\n\"Answer: f**3 - 3*f**2 + 2*f + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -17, -3, 180, -2012.\nAnswer: -2012, -17, -3, 1, 2, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 0.267, 176, -0.4, 0.3?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/3)*y*y*y**(-9)*((y\/(y\/(y\/(y\/y**(-1))*y)))\/y)**(11\/6) assuming y is positive.\nAnswer: y**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 152 divided by -76\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 44*d**2 + 3*d - 9. Suppose -11*o = 12 - 34. Let c be i(o). Which is smaller: 2\/3 or c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2355 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/224 and -71\/18.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**17*x*x**20)\/(x\/(x**25\/x)*((x\/((x\/x**(-13\/2))\/x))\/x)\/x) assuming x is positive.\nAnswer: x**(71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2044?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2599*y - 349593 = 4945*y + 95503 for y.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 1:19 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -363 and -98.2.\nAnswer: 35646.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y + 21. Suppose -2 = 3*q + 4*r, 0 = -4*q - 3*r - 17 + 5. Let a be c(q). Solve a*n + 8 - 2 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in 1, -0.6, -5.14, -2, 5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u**2 - u - 5*u + u + 3*u**2 + 3. Let c be h(2). Let g be (-4)\/(-12) + 5\/c. Solve -2 = -i - g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(40) - sqrt(200)\/sqrt(5))*5*6)\/(sqrt(128)*-2*-3*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 724\/905 - (1 - (-3484)\/(-20)). What is the highest common factor of l and 21054?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1044 divided by -4.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 266 and 399.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**3 + 2*a - 3. Let i be (20\/(-8) + -2)*-2. Suppose -48*u + 51*u - i = 0. Let r = -2 + -3. Let p(g) = -4*g**3 + 4*g - 5. Give r*z(x) + u*p(x).\nAnswer: -2*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/(-24)*2178\/12. Let p = v - -197. Let j = -26\/55 + 3\/11. What is the nearest to j in -1\/4, p, 1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 0\/1) + -2. Let z = -3423 - -3464. Suppose -2*q - q - 4*b + z = r, -5*q + 79 = -4*b. What is the remainder when 43 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 10:35 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2)*(o\/o**(-1\/10))\/o)\/(o\/(o*o*o**(-3\/5))*o)**(-35) assuming o is positive.\nAnswer: o**(103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*j**3 + 1 + 6*j**3 + 2.\nAnswer: 48*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 0.122, -0.2, -126, -1?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/30 and -97\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3486 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3205, 1\/3, 0, -6, 0.1 in descending order.\nAnswer: 1\/3, 0.1, 0, -6, -3205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170478?\nAnswer: 2, 3, 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (4 - 3) - 52. What is the nearest to -2\/7 in -4\/7, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 49*w**4\/3 - 43723008*w**3 + 243599498*w**2\/3 - 45507592*w + 8030751 = 0.\nAnswer: 3\/7, 1, 2676917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 12:42 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 248039757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 393840044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 6, p: 3, r: 3, q: 1}. What is prob of sequence ro?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((144\/(-6))\/(-3))\/((-4)\/12).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 278\/5 + -2*6\/(-14)*(-609)\/870?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 113004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**5\/8 + 171*l**4\/4 - 3249*l**3\/2 + 20577*l**2 = 0. What is l?\nAnswer: 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27986 = -672*p + 30674 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -4, -17 in ascending order.\nAnswer: -17, -4, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.584914 - 8.41511. Let r = -11.3 - -1.3. Let y = w - r. What is y rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by -29.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 2:45 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 5:02 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -140*i - 15. Let g(y) = -10*y - 1. What is -85*g(d) + 6*o(d)?\nAnswer: 10*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 3*r + 1116 = 0. Let i = -373\/2 + r. Find the common denominator of i and -95\/146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 - -4.98. Let l = g + -1. Let c be 1\/(-7)*(1 + -5). Sort l, -1\/2, c in descending order.\nAnswer: l, c, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225, -224, -223, -222?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -80412?\nAnswer: 80413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30\/13, -5\/12, -0.5, -4 in decreasing order.\nAnswer: -5\/12, -0.5, -30\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -13)*145\/58.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 5*q + 3*p - 45, -p = -1. Calculate the remainder when (-536)\/(-20) - 1\/(-5) is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/640 and -51\/1406620?\nAnswer: 45011840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 0 + 0*l**4 + 5*l**2 + 1\/4*l**5 - 7\/3*l**3 + 0*l. Find the first derivative of u(d) wrt d.\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -570, -843, -1218, -1701, -2298?\n\"Answer: -j**3 - 45*j**2 - 131*j - 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (165\/30 - 6)\/((-1)\/26). Solve z*o = 15*o - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/260*-810)\/(87\/29)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -32. Let j be c\/45 - 542\/(-9). Suppose 0*o = -5*o + j. Calculate the remainder when o is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + ((sqrt(190)*5 + sqrt(190))*-1 - sqrt(190)) - 5*sqrt(190)*5)\/(-6*5*sqrt(10) + sqrt(120)\/sqrt(1452)).\nAnswer: 341*sqrt(19)\/329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.52\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 24*k**2 + 2*k - 58. Determine u(24).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -12*k + 5*u + 182, 4*k = -2*u + 728. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5826.673 and 2.\nAnswer: 11653.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 411*b - 7158. Calculate the remainder when i(18) is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41.09 - 2.09. Let m = d - 39.3. Which is the second biggest value? (a) m (b) 4 (c) -143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, h: 6}. What is prob of sequence hho?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 18 - 34 + 15. Let h(i) = -i**3 + 2*i**2 - 3*i - 6. Give -h(r) + 6*o(r).\nAnswer: r**3 - 2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-132)*-3)\/(1\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 399.06 milligrams?\nAnswer: 399060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 722870544 to the power of 1\/2, to the nearest integer?\nAnswer: 26886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 280 + -151. Let f = -974 + 974. Suppose f = -b - 15 + q. What is the greatest common factor of b and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6821 is divided by 943?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 0*x**2 - 2 + 1\/2*x**3 - x. Let n(h) be the first derivative of u(h). Let l(s) = -2*s**2. What is n(l(j))?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/26? (a) -5 (b) -6\/7 (c) -1\/2 (d) 0.127 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3625503 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/((-248)\/(-32))*((-10)\/8)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o + 7 - 17 - 14. Let f be (2 + 1 - 3) + -7 + 1. Let y be z(f). Solve d = -y - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/7))**3 assuming t is positive.\nAnswer: t**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 73640403128.\nAnswer: 73640403132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8690*-126.\nAnswer: -1094940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*z = 5*z, 4*z + 9 = -5*w. Let d be (w - 0)*(-15)\/25. Suppose 3*f - 11 = -2*v, -5*v + 2*f = -2 + 3. What is the nearest to v in 2\/7, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**5 + 10343*c**4 - 13*c + 373.\nAnswer: 60*c**3 + 124116*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4477.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -13*g - 3*g - 2*g**2 + 4*g - 5*g + 8*g**2. Let d(h) = h**2 - 3*h. Let r be 18\/4*4\/3. What is r*m(a) - 34*d(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 9*r**2 + 9*r - 1. Let n = -7 - -4. Let l(u) = -2*u**2 - 4*u - 4. Let y be l(n). What is the smallest common multiple of 7 and k(y)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4\/3 - t**3\/3 + 4*t**2 + 28*t\/3 + 16\/3 = 0. What is t?\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 130131 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**4\/20 - 1772*k**3\/5 + 4709976*k**2\/5 + 2306*k. Find h such that f(h) = 0.\nAnswer: 1772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 5:13 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 222563987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 310720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.00212\nAnswer: -0.00212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 133 = -0*c - 4*p, 3*c - 65 = -5*p. Suppose -3*b - 75 = 4*m, -m - 167 = 5*b - c. Let t = -13 - b. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2. Let z(h) be the third derivative of 11*h**6\/720 + h**4\/3 + 7*h**2. Let d(r) be the second derivative of z(r). Calculate d(v(u)).\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 2937 = 30*z. Let h = z - -392. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*b - 1. Let y = 9 + b. Calculate the remainder when y is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -17*s**2 + 10*s**2 - 4 + 9*s**2 + 7*s + 4*s**2 - 7*s**2. Let h(z) = z**2 - 3. Let c be h(3). Give v(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25832253 + 24230645797\/938. Let x = -721634\/67 + 10771. Let v = t - x. Calculate the common denominator of v and 103\/82.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 + 4*t**2 + 3*t. Let q be (-30)\/40 + 1\/(-4). Let z be x(q). Solve 0*l - 9 = z*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.85621 kilograms to tonnes.\nAnswer: 0.01785621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**5\/5 - 7*b**4\/24 - 6*b**2. Let a(g) = -6*g**2 + 3*g. What is 7*a(d) + 3*y(d)?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 247 times -4\nAnswer: -988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 16 + 8 = 0. Suppose 4*t + 37 = v*p + 7, -t = -5*p + 39. Is -4 + p*(-69)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from ssxszexlzsslzee.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 2) in base 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4324 = 94647*m - 94835*m for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 31*n**2 + 7168*n + 173457. Determine s(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fufhhwhhhwrcffchcuhh. What is prob of picking 1 c, 2 u, and 1 w?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/13)\/((-22)\/(-88)). Which is greater: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 + u**3 + 0*u**3 + (1 - 1 + u**2)*(-8*u - 2*u + 5*u) + (0*u**2 + 3*u**2 - 2*u**2)*(u - 2*u + 6*u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 368 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869 is divided by 432.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1262, 1304, 1346, 1388?\nAnswer: 1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q - 152. What is i(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.56 - 0.6. Let t = f - -0.54. Let s = 5 + -4. Which is the nearest to s? (a) -3 (b) -2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1731.\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2 - 3*p**2 - 6*p**3 + 4*p**2 - p + 0 + 1. Let y be t(-1). Suppose 3*v + 2 = -y, -o = 3*v - 135. What is the greatest common factor of 18 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001497 rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-5))\/z**(-4))\/(z\/((z\/z**0)\/z))**(1\/20))\/(z*z**(-2\/23)*(z\/z**14)\/z)**(-7) assuming z is positive.\nAnswer: z**(-37563\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47\/21 + 8\/3. Let o = -15.9 - -10.92. Let r = 0.02 - o. Which is the second biggest value? (a) l (b) r (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6347, 25398, 57159, 101636, 158835, 228762, 311423?\nAnswer: 406824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**4 + 69*w**3 + 2*w**2 + 3610*w + 1?\nAnswer: 12*w**2 + 414*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9105.349 micrograms?\nAnswer: 0.009105349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-92)*(148\/(-20) - -7)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -27. Let z(n) = -n - 10. Let q be z(-13). Solve -4*s - b + q = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -18) + 10 + -11 + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -1\/4*q**3 + 7 - 3\/8*q**2 - 1\/16*q**4 - 1\/4*q. Factor j(w).\nAnswer: -(w + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75654 is divided by 93.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 70\/(-7) - (-25 - -11 - -2). Determine s so that -10*s + 5\/3*s**y - 35\/3 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 5*c - 1. Suppose 2*b - 7 = 5. Let y be k(b). Let w be 3\/(-1 - -16) + (-1)\/y. Solve -3*l - 3 = -w*l - 3*d, d = -2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 + 1. Let w be q(-1). Suppose -4*k + 5*t + 24 = -5*k, 8 = -2*k - 2*t. Let a be (k - 0)\/(1\/w). Solve x = -0*x + f + 2, x - a*f = -7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -145 and -145 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 6. Let v(m) = -3*m - 17. Let q(z) = -3*v(z) + 8*y(z). Let b be q(0). Find t, given that -2*t + 0*t**2 + 4\/3 + 2\/3*t**b = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 957817981?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/5*((-245)\/(-21))\/(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338820 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 8890 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2109\/5 - 422. What is the biggest value in 8, 2, m?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g**5 - 4*g**5 + g**5 + (4*g**3 + 13*g**3 - 6*g**3)*(-3*g**2 + 2*g**2 - g**2).\nAnswer: -19*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 1 = 2*k, 0 = -3*u - 2*k + k - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*w - 2960700 = 56*w. What is w rounded to the nearest 10000?\nAnswer: -990000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 365\/3, -444, -10?\nAnswer: 365\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 11. Suppose -y*a + 5 = -r - 122, r = -3*a + 73. Suppose 0 = -x - 5*g - 8 + 34, a = 5*x + 4*g. Is x > -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - y**2 + y. Let d(a) = 170*a**3 - 2*a**2 - 9*a. Determine d(v) - 2*z(v).\nAnswer: 168*v**3 - 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.03 + -4. Let d = i + -12.03. Let r = d + 11.9. Which is the nearest to r? (a) -2\/3 (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 6:04 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 - (4 - 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10188300 to the nearest ten thousand.\nAnswer: -10190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/2 - 0) + -4. List the prime factors of -3 - d - (-5 + -44).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376505 is divided by 17893?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -1, 20485994, 3 in decreasing order.\nAnswer: 20485994, 4, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 172.07 + -174. Let a = -20.13 - r. What is a rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 11:51 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20592 divided by 11\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5798)\/(-2676)*(-3276)\/(-1859).\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgn when three letters picked without replacement from qqdgnigw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -213*b - 16196. Calculate g(-76).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -2\/17, 2\/9, 1\/17 in descending order.\nAnswer: 2\/9, 1\/17, -2\/17, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 51377234669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -0.5 (c) 25 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 116\/14 - ((-12753)\/273 + 46)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-30))\/((-51)\/340)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003491089 rounded to 5 dps?\nAnswer: 0.00349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + u - 11 = -3*j, j + 3*u = 1. Let y = j - 2. Let b(g) = g**3 - g**2 + g - 1. Does 5 divide b(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10949 less than -10976?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 13. Let n = -26 + a. Calculate the least common multiple of 6 and (5 - (-12)\/(-9))\/((-1)\/n).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -160416 divided by 29\nAnswer: -160416\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*u**5 + 6*u**4 = 0 for u.\nAnswer: 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 12) to base 9\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from nynynnnnnnnnn.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99 + -96. Find the first derivative of 6*j**m + 5*j**3 + 7 - 16*j**3 wrt j.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -19, 2\/279, 3, -655?\nAnswer: -655","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 486 and 264.\nAnswer: 21384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*o + 6. Let m = o + 6. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 358721, 358722, 358723, 358724, 358725, 358726?\n\"Answer: t + 358720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - -16. Let u be -3 - 0 - ((-294)\/(-2))\/(-7). Let q = u - y. Which is the third biggest value? (a) -0.5 (b) q (c) -0.1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.03 - -0.03. Suppose -l = 5*b - 14, 2 = 2*b + b - l. What is the closest to -2\/7 in t, b, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 59. What is d(27)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 6. Suppose -5*w + 28*w = 138. Give t(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 4*x**2 + 4*x + 3. Suppose -5*k + 60 = -2*k. Suppose -v = -0*v - 4. Let r be (5\/v)\/((-5)\/k). Determine z(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 11:38 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 11:00 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 11:27 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**3 + m**2 - 4*m**3 - m**2.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcjlhhlhjcj. Give prob of sequence jc.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/68 + (-2)\/8. Let v = 339 - 339.1. What is the nearest to 0 in 4, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3 = -5*c - 23, -20 = 2*a + 5*c. Suppose -4*y - i + 879 = a, 2*y - 616 + 173 = 3*i. What is the units digit of y\/28 + (-2)\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 3, -2, 223, 4, -38 in descending order.\nAnswer: 223, 14, 4, 3, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20110 and 100?\nAnswer: 201100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1. Let o(u) = 12*u - 11. Let s(x) = o(x) - 4*r(x). Find the first derivative of s(h) wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 1, 5*h - 57 = -5*x - 2. Suppose 5*k - x + 0 = 0. Let m be ((-9)\/15)\/(3\/(-45)). Solve -k*f + m = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1929, 3, -1, 1, 13, 0, 2 in decreasing order.\nAnswer: 13, 3, 2, 1, 0, -1, -1929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13940, 55600, 125032, 222236, 347212, 499960, 680480?\nAnswer: 888772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (4 - (0 - -5)) + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 2.8 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 523*c**5\/30 + 971*c**3\/3 + 8*c**2 - 40*c. What is the first derivative of n(w) wrt w?\nAnswer: 2092*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 234 + -238. Let l be (-8)\/s + -7 + 651. Calculate the greatest common divisor of 17 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30435531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 473 + 12500?\nAnswer: 12973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 49*c - 100 = 0. Put -3, c, 18 in descending order.\nAnswer: 18, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19488759 divided by 3?\nAnswer: -6496253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*2 - 1 - 72\/(-168). Let 0 + z*o**2 - 8\/7*o**3 - 2\/7*o = 0. What is o?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2377 = 5*h + 5*c - 2417, -3*c + 9 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*p + 2*u + 14, 5*p - 25 = 5*u. Suppose -25 = -0*x - 3*x - p*d, -2*x - 15 = -5*d. Solve 0*h = -x*h - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, 26, 2\/5 in decreasing order.\nAnswer: 26, 2\/5, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3289 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 + 2*u**5 - 2*u**5 + (-u + 0 + 0)*(u**2 - 2*u**4 - u**2) + (u**4 - u**4 + 3*u**4)*(0 + 0 - 2*u) - 2*u**5 + 3*u**5 + u**5.\nAnswer: -u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-17 + 9) - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258969 - 258969 + 45*t.\nAnswer: 45*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 - 39. Let f be 1096 + ((-6)\/(-8))\/(63\/84). Let t = f + z. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/53, -1, -1\/5, 11?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463521 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: Which is greater: -7 or -251\/40?\nAnswer: -251\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 16\/5 (b) 713 (c) 408 (d) 2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304124417.\nAnswer: 3, 17, 8523689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*f - 20 = f, 2*y - 5*f = 15. Let t be 0 + -1 + 3 + -2. What is the second smallest value in -3, t, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -3\/2*t**4 - 91 + 4*t**2 + 0*t**3 + 9*t. Let g(l) = 2*l**3 - 3*l - 3. Calculate -3*d(b) - 8*g(b).\nAnswer: 2*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 0. Let b be (-1)\/(-6) - 4\/(-48). Solve b*u**5 - 1\/2*u**3 + 0 + a*u**4 + 1\/4*u + 0*u**2 = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3543*h - 24808. Determine m(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 1445, 3\/53, -3\/7?\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o - 17 = 41*o. Solve -4*u + o = 21 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 5*n + 4*q, 0 = 3*n + q + 1512 - 1524 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**5 - 1552*k**4 - 402480*k**3 - 35145792*k**2 - 68694048*k.\nAnswer: -2*k*(k + 2)*(k + 258)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000467437185 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.32 - -0.32. Which is the nearest to -3? (a) 2 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76412 divided by 788.\nAnswer: 19103\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-429)\/9360*24*24\/(-99).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 6*x - 6. Let u be o(4). Suppose 0 = 3*d + 6*r - 5*r - 8, -12 = -d - 5*r. Let k be 1 - (-2 - -1)*d. Sort u, 0, k.\nAnswer: 0, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83.4 + -1.6. Let l = -93.5 - u. Let v = l - -10.5. Which is the nearest to 2\/19? (a) 5 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253312645?\nAnswer: 5, 331, 153059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x\/(x*x**11*x*x)))\/x**(-3\/5))\/(x**23*x**26))**(-1\/63) assuming x is positive.\nAnswer: x**(59\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 8 - 5*w)*(-17*w**2 - 9*w**2 + 13 + 54*w**2 - 18*w**2) to t*w + a*w**3 + i + v*w**2 and give t.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*i - 111 = -b + 9*i, -b - 11*i + 109 = 2*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b - 9. Let g be c(-7). Let i = g - -27. Solve 3*a - x = 2*x, -3 = -i*a + x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 13. Suppose l*p = -3*a + 3*p + 13, 4*a = -4*p + 12. Let k be (-3)\/(-6) - a\/(-2). Solve k - 8 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 14 (c) -48 (d) -77\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 + 77*w - 105*w + 125*w - 2 - 4*w**3 in the form p*w + c*w**2 + f + k*w**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3044.644 meters in nanometers?\nAnswer: 3044644000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2519*a**3*p + a**3 - 3*a**2 - 8*a - 2*p wrt a?\nAnswer: 15114*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 1 - 4 - 3 - 6*b. What is the tens digit of y(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -2773.8, 1, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50*n*t**2 - 272189*n + 327520799*t**2 wrt n?\nAnswer: -50*t**2 - 272189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 0.06 (b) -194\/7 (c) 1\/5 (d) -1 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 432 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2580.2976 times 0.3\nAnswer: 774.08928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -8 - 119 - (-13 - (25 + -24 - 6)).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/45723 and -119\/552?\nAnswer: 8413032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**4\/4 - 10*c**3\/3 - 7*c**2\/2 - 3945. Let y(o) = -3*o**2 - 2*o. Determine 2*w(p) - 7*y(p).\nAnswer: -2*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 266 + 5?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 93904922230175 plus -0.4?\nAnswer: 93904922230174.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2431*w**3 + 3683*w**3 + 2738*w**3 - w**2 + 3*w**2.\nAnswer: 8852*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 15 = -z. Let v = 9030.5 - 9030. Which is the smallest value? (a) -0.03 (b) z (c) v (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -580936 divided by 6.\nAnswer: -290468\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -1\/9*u**4 + 0*u**2 + 0*u**5 + 1\/9*u**3 + 0 - 1\/63*u**7 + 2\/45*u**6 - u. Factor m(t).\nAnswer: -2*t*(t - 1)**3*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20271097 to the power of 1\/2, to the nearest integer?\nAnswer: 4502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 59211 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1908)\/(-180) - (15\/1 + -5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 8*d**2 + 8*d - 6. Suppose 0*f - 6 = f. Let o be g(f). Suppose 3*r = 4*r, o = 2*n + r. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0859028 to two dps.\nAnswer: -1.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3281250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 2*g - 7. Let k be a(10). Suppose -2*z = -5*z + 4*s + k, 109 = 3*z - 5*s. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845 greater than 64606\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 982*k + 266*k - 98368 + 11008 for k.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 4*d + 30 = 4, d - 29 = -5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 82846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 243.\nAnswer: 32\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 + -38. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (100\/15 - (-2)\/6) + 3. Suppose -5*m = 5*q - s, 15*m = 16*m - q - 8. Solve 9*w = m*w - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 22. What is the highest common factor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -413, 5, 2\/7, 67 in descending order.\nAnswer: 67, 5, 2\/7, -0.5, -413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -796160 * -94.\nAnswer: 74839040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1158430386 to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51832 divided by 1672.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6.823209 milliseconds?\nAnswer: 6823209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/112, -2\/5, 0.2, 7?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3311\/(-58179))\/(-1*14))\/((-2)\/(-6)).\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + -2*sqrt(1944))\/((sqrt(16) + sqrt(144))\/sqrt(2)).\nAnswer: -17*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -1 + 1\/4*b**4 - 1\/2*b**2 + 7*b - 5\/3*b**3. Suppose -26 = -4*x - 3*o, -5*x + 41 = 3*o + 10. Calculate v(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1322 - 643. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 44*w**4 - 2*w**3 + 20*w**4 + w**2 + 14*w - 16*w + 5*w**3 + 20*w**4 as v*w**3 + t + s*w**2 + m*w**4 + f*w and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5094*b - 636717. Give q(125).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/1044200 and 24\/1265?\nAnswer: 11486200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2017 >= 408.704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.4 + -14.2. What is the smallest value in l, -10, -2\/7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.27 - -9.27. Put -2, 1, z in decreasing order.\nAnswer: 1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 168, 18 in descending order.\nAnswer: 168, 18, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69249 is divided by 9030?\nAnswer: 6039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -3. Let j be ((-7)\/14)\/(n\/4). What is the closest to j in 0.1, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.068, 5, -0.3?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-3\/7)))\/h**(-1\/3))**5 assuming h is positive.\nAnswer: h**(-10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 38 - y**3 + 30 - 10467*y + 10469*y.\nAnswer: -y**3 + 2*y + 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2278595?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 0.0028?\nAnswer: 0.2972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 57. Let d(u) = -2*u**2 - 2*u + 3. Give d(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10404*w - 9603*w - 25632 = 0 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/304)\/((-12)\/64)*-21\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1787625 = 43*z - 168*z. Is z a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -69 - (45 - 10).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 8, 17\/4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42813338?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -10*b**2 + 557. Let y(m) = 7*m**2 - 371. Calculate 5*v(t) + 7*y(t).\nAnswer: -t**2 + 188","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 43*u**3 - 7*u**2 + 7. Let m(k) = -14*k**3 + 2*k**2 - 2. Determine -6*h(w) - 21*m(w).\nAnswer: 36*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 41042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -558653290578 - 1.5\nAnswer: -558653290579.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(10*j**5 - 12*j**5 - 16*j**2 + 6*j**2) - 4*j**5 - 4*j**5 - 7*j**5.\nAnswer: -13*j**5 + 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 82057707 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 10:38 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -93 (c) -4\/77 (d) -0.33 (e) 3\/5 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 15694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 + 572*h - 8. Determine k(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19156741301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 1)*(-g + g + g**2) + (-2 + 2 + g)*(-g - 7*g - 3*g) to m*g + u*g**2 + d and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74542, 298193, 670944, 1192795, 1863746?\nAnswer: 2683797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from tuauuuufuuafu?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 97*z - 120*z + 89585. Is z a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z + 7. Let o be b(5). Is (-199)\/o + 4\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81112 is divided by 422?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 945587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -806 divided by -2.\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 5*o - 15, -4*o - 5 = -4*b + 7. Suppose 0*j + b*t - 15795 = -2*j, 2*t + 7902 = j. What is j rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5703, -5, 2 in decreasing order.\nAnswer: 5703, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 14 + 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 93.64166cm?\nAnswer: 936416600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -1413?\nAnswer: 565.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1.2, 7, 5 in ascending order.\nAnswer: -1.2, -0.2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 9*m**2 + 7*m + 10. Let p be g(8). Suppose -4*d + 5*c = -61, -2*d + p*c = -2*c - 38. Solve 4*x + 14 = -2*h, 0 = -h - 6*x + 2*x - d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3))\/(-1)*6. Suppose -3*x = -x - a, -5*x - 7 = -4*m. Solve 0 = 2*n + 4*s + 8, m*n + 0 + 10 = -4*s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 93*g - 9904. Determine k(106).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.171477.\nAnswer: -0.0685908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -6. Let q be (3 - v)*(-11)\/3. Let u = 27 - q. What is the least common multiple of 4 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*g**2 - 2*g**3 + 2 - 4 - 1 to the form m*g**2 + b*g + v + n*g**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d + 3. Let q = d - 3. Calculate the smallest common multiple of 8 + (2 - q)\/(-2) and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4055 (base 10) in base 7?\nAnswer: 14552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2742, 2471, 2034, 1443, 710, -153?\n\"Answer: 2*m**3 - 95*m**2 + 2835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 257495 and 29.1.\nAnswer: 7493104.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f**3 + 4*f**2 - 15*f. Let s(w) = -w**3. Determine d(k) - 5*s(k).\nAnswer: -k**3 + 4*k**2 - 15*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -40 + -24 + (-3 - 12)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14209*s**6 - 8*s**2 - 1315 wrt s.\nAnswer: 1705080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*r = -3*r - 12, 4*r = -2*z + 8. Solve -5 = z*m - 0*o + 5*o, 0 = 2*o + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12718 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - 4*l**3 + 3*l**3)*(0*l + 5*l - 3*l)*(2 - 3*l - 2) + l**5 - 3*l**5 + 3*l**5.\nAnswer: 19*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, y: 5, i: 5, p: 1}. What is prob of sequence rp?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = 6, 0 = -2*m + 3*c - 231. Round m to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 6*n + 9. Let m be d(7). Suppose -m*j + 5 = -1. Suppose -j*f + 2*f = -20. What is the greatest common divisor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 507, 495, 483, 471, 459, 447?\n\"Answer: -12*i + 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 811521?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1\/919 (c) -0.123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**4\/3 + 12721*t**3\/3 - 810503*t**2\/3 + 5759327*t\/3 - 1653848 = 0.\nAnswer: 1, 7, 56, 12657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**4 - 10867573*l**3 + 10867576*l**3 - 14*l - 2 - 2*l**2 + l to the form u*l**4 + v + j*l**2 + i*l**3 + o*l and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*f - 16, 32 = -4*f - 10*c + 15*c. Let t(w) = -w**2 - 8*w - 8. What is t(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 3*b - 540. Is b a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2081 (base 15) to base 5.\nAnswer: 204441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 w, and 1 v when four letters picked without replacement from mvflelvfmlfmwmw?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 645 = -10*x. Let a = x + -1159\/9. Put -0.1, -0.02, a in decreasing order.\nAnswer: a, -0.02, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-777*v + 6 - 88 + 773*v)*(0 + 3 - 1)*(v + 4*v - 3*v) to s*v + q + c*v**2 and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j - 17*j = 74*j - 1512 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/10 + (-1924)\/(-195). Suppose -d*k - 100\/3*k**4 + 8\/3 + 130\/3*k**3 - 2*k**2 = 0. What is k?\nAnswer: -1\/2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*h + 1476, -2*k = 4*h - 564 - 168. Calculate the remainder when (4\/(-6))\/((-8)\/k) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/894255?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 1:56 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*u = -4*x + 32, -5*u = 5*x - 105. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99 - -599. Is 25 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v + 3. Let g be k(-4). Let q(s) = 5*s - 42. Let a be (-1)\/1 + 6 - (-3 - 1). Let r be q(a). Sort g, 5, r in descending order.\nAnswer: 5, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 12:43 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(15\/8)*(-140)\/(-56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5664 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 21. Let t = -2 + 2.2. What is the biggest value in t, 1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7\/161059?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 1 + 2. Suppose 2*s + 84 = 7*m - z*m, -4*m = 20. Is (s\/(-10))\/(8\/20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.3566 + 2.7566. Which is the third smallest value? (a) -0.10511 (b) x (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**3\/2 - 7*w**2 + 5*w. Let i be l(11). What is the units digit of (i\/4)\/((-13)\/(-52))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*o**2*p - 5*b*o**2 + b*o*p + 30*b*p - 5918*o**2 + 2214*o + 21*p wrt p?\nAnswer: -2*b*o**2 + b*o + 30*b + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 2*o - 3*o + (7*o + 3*o + 4*o)*(-5 + 3 + 6))*(-1 - 1 + 4)*(-2 - 2 + 0)*(3*o + o + o).\nAnswer: -2200*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50279004.\nAnswer: 2, 3, 37, 37747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 11, h: 2}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 0. Suppose -c*h - 2*h = -8. Suppose l - 10 = -x - 0*x, 5*x - 8 = h*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -k, 14 = -k + 9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26a4 (base 11) in base 15?\nAnswer: -1087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 25*d + 28*d + 13 = 0, -4*d - 23 = -3*i. Calculate the lowest common multiple of i and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-7)*56\/12. Let u be 7\/(-49)*1\/(a\/9). Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2441, -4702, -6963?\n\"Answer: -2261*f - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2292*n - 83072 + 83072.\nAnswer: 2292*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -93*d**2*y**2 - d**2 + 7136*d*y**3 - 4*d + 307 with respect to y.\nAnswer: -186*d**2*y + 21408*d*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 u, and 1 o when three letters picked without replacement from quuqquqoquuoqq.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*v + 4*v + 1 + 10*v + 19*v.\nAnswer: 64*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1529, -1537, -1545, -1553, -1561?\nAnswer: -1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -360, -362, -364, -366, -368?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 - 63*v + 37. What is the tens digit of w(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d\/d**(2\/11))\/d**(-20\/7))**(2\/65))**(-4\/17))**37 assuming d is positive.\nAnswer: d**(-21312\/17017)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9062791 rounded to two dps?\nAnswer: 6.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**6\/20 - p**5\/12 - p**4\/6 + 87*p**2. Let i(n) = 3*n**3 - 3*n**2 - 2*n. Determine -5*i(v) + 3*w(v).\nAnswer: 3*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 9*j**2 + 4*j + 11. Is g(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*u**3 + 4*u - 42*u**3 - 39*u**3.\nAnswer: 5*u**3 + 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57816077 - -1.04.\nAnswer: 57816078.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -10088*p**2 - 110957*p + 8. What is o(-11)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16093*u + 10765 = -17305*u - 1355 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 5*j + 0*j + (0*j + 5*j - 4*j)*(-1 + 0 + 0) - 6359*j + 5 - 5 - 4602*j + 2294*j.\nAnswer: -8666*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxj when three letters picked without replacement from {j: 2, x: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18505109 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/42)\/((-80)\/672).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336\/(-140)*30\/(-81)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x**2 + 3*x + 1. Let f be r(-1). Let q be 4\/7*14\/f. Solve 0 = i + 4 - q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 7348*k**3 - k + 9831*k**3.\nAnswer: 2483*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2. Let k(b) = 717*b. Let r(a) = -181*a. Let q(i) = -4*k(i) - 18*r(i). Determine q(t(c)).\nAnswer: 780*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 294435 - 588878 + 294443.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2783*y + 187695 = -144050 + 120237 for y.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15163 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1663 = 7*b - 5450. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547468 at least as big as 547470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-12))\/(69\/6)*(-104)\/26.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.59, 1, 19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = 2*c, c - 4*c - 6 = 4*d. Let a = 20 - 17. Let q(z) = -108*z + 54*z + a + 56*z. Determine q(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 + -61. Let i(h) = -h**3 + 2*h**3 + 0*h**3 - 8 - 7*h**2 + h**r - 5*h. Let x = -7 + 14. Determine i(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -19, -1, 4, 6.\nAnswer: -19, -5, -1, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 - 84. What is the closest to -2 in -2, -2\/5, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -98*h**5 + 53662*h**4 + 130864*h**3 + 19888*h**2 - 48416*h + 8800 = 0.\nAnswer: -2, -1, 2\/7, 550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -127*z**3 - 6252 - 1163 + 278 + 3385*z**3 - 5833 + z wrt z.\nAnswer: 9774*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 42*p**3 - 3*p**2 + 7*p - 4. Let r be w(1). Suppose -7*v = -r - 728. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2665*b**3 - 6012*b**3 + b + 3319*b**3.\nAnswer: -28*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 - 134421*o\/2 + 16302627.\nAnswer: (o - 134178)*(o - 243)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**2\/2 + 3*z + 14. Is j(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(7*9\/(-819)). Solve -8*h + 21*h = -w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 12*h. Let d(i) = -120*i - 197. What is q(d(f))?\nAnswer: -1440*f - 2364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/5*(-35)\/(-7). Suppose 0 = 5*u + 71 - r. Let n be (3\/(-4))\/(u\/52). Solve -5*q + 10 = -3*s, 0 = n*s - 3*q + 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3028747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6 + 0 - 7. Let h(w) = -w + 3 - 4 + 0. Let i = 4 + -3. Calculate i*b(c) - h(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -1\/20*i**5 + 0*i**3 + 0*i**2 + 1\/30*i**6 + 0 - 2*i + 1\/42*i**7 - 1\/12*i**4. Factor v(w).\nAnswer: w**2*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 2*b**2 - 122*b + 35. Let u be a(10). Solve 3*l - u = -2*q, 2*q + 53 - 28 = 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 207024808 to the nearest integer?\nAnswer: 14388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 14 + -10 - 36) + (-8 - -5).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25466148 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b - 2*b)*(-6 + 1 + 2)*((2*b + 4 - 4)*(-1 + 3 - 4) + 3*b - 3*b + b).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -14\/3 and 27697159 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 + 54. Let m = 1\/100 - -6\/25. What is the closest to m in 2\/7, 0.2, v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*i + 2)*(-14 + 14 - 4*i**3) + 0*i**4 - i**4 - 2*i**2 + 5*i**4.\nAnswer: -4*i**4 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 677188792 a multiple of 11950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 62?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 13*g - 58. Solve u - 7 = -g*k + 3, 2*k + 8 = 3*u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 35*d**2 - 118*d - 190. Determine f(31).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8142 = -6*k + 12642. Suppose -3*v - 2*l = -35313, 3*v - 38777 = 3*l - k. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(8 - (-2 + 11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/7, 3, 0.4, 25 in ascending order.\nAnswer: -15\/7, 0.4, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977 bigger than 1980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -333 + -6127056?\nAnswer: -6127411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3814, 421, 3.\nAnswer: 3, 421, 3814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395844 is divided by 7760?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 + 2.7. What is the third smallest value in 2\/15, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-26)\/(-6864)*4\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**6\/180 + b**5\/20 + b**4\/6 + 7*b**3\/3 - 5. Let h(i) be the third derivative of d(i). Calculate h(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 2*y + 9 + 67 - 86.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -102556 from 26.45921219.\nAnswer: 102582.45921219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 221590096 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-2) + 0 + -4. Solve -v - b + 6*b = -7, -2*v + 6 = -t*b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3080.7 - 3080.2. Let h = -157\/2 - -77. What is the second biggest value in h, 4\/3, m, 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2517, -148, -26 in decreasing order.\nAnswer: -26, -148, -2517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -685\/258 or -3?\nAnswer: -685\/258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - d - 21 = 4*a, 4*d = -5*a + 41. Suppose a*v = 4*v + 5. Let j = v - 7. Put 2, j, -1 in decreasing order.\nAnswer: 2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1268 by -317.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.309 + -0.309. Let t be ((-4)\/(-140))\/((-16)\/(-180)). Let o = t + 13\/14. What is the closest to -1 in b, o, 1\/24?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 5*f**3 + 134095*f**2 - 402380*f - 1341100 = 0.\nAnswer: -26822, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 32 = q + d, 4*d - 54 = 2*q. Let w = -18 - q. Which is greater: w or 9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 0*p**4 + 0*p**3 - 4\/15*p**5 + 0 + 37*p**2 + 4\/15*p**6 + 0*p. What is the third derivative of h(w) wrt w?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*v - 3 = 0. Suppose s = 2*m - 3 - 1, -v*s = -4*m + 16. Let r = -5 - s. Solve 2*f + 7 = -r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - l - 1. Let a(x) = 5*x**2 + 5*x - 1. Let b(r) = a(r) + 4*w(r). Suppose 0 = -45*m + 11*m. Determine b(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 135 - 270 + r**3 + 136 + (3 - 3 - 4)*(4*r**3 - r**3 - r**3) - 7*r**3 - 8*r + 8*r + (2*r**3 - r**3 + r**3)*(2 + 0 - 4).\nAnswer: -18*r**3 - 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 7406351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -3. Let k(j) = j**2 - 13*j + 33. Let v be k(10). Suppose -v*p + 6 = 0, 16*p = 3*b + 20*p - 62. What is the highest common factor of z and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1622, -1556, -1482, -1394, -1286?\nAnswer: -1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 5*y = -270, -293 + 72 = 3*p + 6*y - 0*y + 28 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -1\/6*w**3 + 0 + 1\/2*w**4 + 0*w**2 + 3*w. What is the remainder when 20 is divided by p(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-170)\/(-136) + 0 + (-9)\/12. Solve -1\/2 + r*m**3 + 3\/2*m - 3\/2*m**2 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 211*s**4 + 3*s**2 - 3863?\nAnswer: 844*s**3 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18665, -37353, -56087, -74897, -93813, -112865, -132083?\n\"Answer: -5*v**3 + 7*v**2 - 18674*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1509 + 2517. Suppose -17*m + 5*m = -z. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 take away 228?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = 2475 - 15115. Round u to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 - -50. Which is the closest to 1? (a) -2 (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.4107139 minutes to days.\nAnswer: 0.001674106875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**2*x**3 - 519*f**2*x + 3673*f*x**4 - 3*x**2 wrt x.\nAnswer: -6*f**2 + 88152*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, y: 3}. Give prob of sequence yy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 542 - 143. Let v be -1 + (33670\/12)\/7. Let l = v - n. Sort -1, l, 0.1 in decreasing order.\nAnswer: l, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4527.47121*0.1.\nAnswer: -452.747121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2576\/(-34776))\/(4\/27).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(180) + -1 - sqrt(25)\/(6*sqrt(10)\/sqrt(2)).\nAnswer: 4 + 35*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 7:35 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10*(-160)\/(-128)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 12:02 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 1. Let q(c) be the second derivative of -2*c**3\/3 - 2*c**2 + 3*c. Let t be 7 + -9 + 3 + -1. Suppose t = 3*a - a + 2. Determine a*q(h) - 3*x(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74442.89 tonnes to grams.\nAnswer: 74442890000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 5*f**3 - f**3)*(-f + 2*f**2 + f) + (3 - 3 - 2*f**3)*(-3*f**2 + 2*f**2 + 2*f**2) - 12*f**5 + 41*f**2 - 41*f**2.\nAnswer: -10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 48\/7879?\nAnswer: 48\/7879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5)*250\/(-25)*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1\/4 (b) 1 (c) 1\/11 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.3 + -8.8. Put t, 2, -3\/4, 0.2 in increasing order.\nAnswer: -3\/4, 0.2, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*r - 86*r - 28 = 0. Let q = 30 + r. Suppose -q*n = -0*n - 5*f - 3, -5*n = -5*f - 15. Solve -5*y = 2 + 18, n*b = 3*y + 20 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16504, -18031, -19558?\nAnswer: -21085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 7*u**2 - 5*u - 2. Let m be s(6). Find the first derivative of -15*c**4 - c**4 + 36 + 44*c**m wrt c.\nAnswer: 112*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 + w - 14. Let s(b) = -b**2 + 7. Let l(h) = -6*f(h) - 11*s(h). Let p be l(-6). Solve -5*k = -13 - p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (533\/(-164) + 10\/4)*(-75003 - 1).\nAnswer: 3, 17, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 6) in base 16?\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-659*c**3 + 74601*c - 74601*c)*(1 + 4 - 4)*(2 - 2 - 2) to h*c**2 + s*c**3 + p*c + u and give s.\nAnswer: 1318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 210635687 to the power of 1\/3, to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -255895, -511641, -767387, -1023133, -1278879, -1534625?\n\"Answer: -255746*d - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/3 + 3419*c\/3 + 344666\/3 = 0.\nAnswer: -98, 3517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 27026492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + 2676 - 2676.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v**2. Let p(i) = 7*i**2. Give 2*p(u) + 3*q(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5494 + 5485. Let v be 0 - (1 - 1 - -2). Let m(y) = -2*y - 2. Let s be m(-3). Sort s, d, v in increasing order.\nAnswer: d, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*l)*((2 - 3 + 2)*(-3 + 3 - 4*l) + (-2 + 3 - 2)*(27 + l - 27)) to f + u*l + t*l**2 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -2*v - j - 18, -2*j = -2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*d + 35*d. Suppose d = m - 5, m = 3*a - 3*m - 2707. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3296 greater than or equal to -3298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 1. Let n be f(-2). Suppose -2*w - 3*w + 5 = 0, 2*w = n*b - 28. Solve -5*s + 2*d - 18 = -b, 4 = -3*s - 2*d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 242*k**2 - 2 - 237*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926 (base 14) in base 12?\nAnswer: 2766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4 + 5 + 7 - 5 - 1 + 0 + 2 + (-2 - 2 + 2)*(3 - 1 - 1) + 1 - 2 - 1)*(j + 0 + 0 + (-1 + 0 + 2)*(-2*j + 7*j - 3*j) + 1 + j - 1).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.0657?\nAnswer: 0.3285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 5*t + 11 = 0, -3*k + 11*t - 7*t = 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**12*u)\/u*u**(3\/5))\/(((u*(u**8\/u)\/u)\/u)\/u*u**5) assuming u is positive.\nAnswer: u**(-97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.3060434 millennia?\nAnswer: 3.060434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154470?\nAnswer: 2, 3, 5, 19, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -215 + 152778?\nAnswer: 152563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11681643 - -1?\nAnswer: -11681642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 524 and 6157?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2414*n - 1334*n - 1243*n + 9617 = 0 for n.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y**2. Suppose -2*d - o - 4*o = -14, -2*o + 4 = 0. Let s(a) = 85*a**2. Let f(v) = d*s(v) + 35*k(v). Let z(h) = h**2. Calculate z(f(x)).\nAnswer: 25*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -15. Suppose -10*h + 14*h = 20. Suppose -n = -2*l + 8, h = l - 2*l + 5*n. What is the highest common divisor of t and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/498069 and -7\/332046.\nAnswer: 996138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 - 59. What is the remainder when s - -28 - (-114)\/(-38) is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 578 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23, 93, 219, 407, 663, 993?\n\"Answer: c**3 + 22*c**2 - 3*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**3\/3 + 62*k**2\/3 + 560*k\/3 + 392 = 0.\nAnswer: -14, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130416 and 25080.\nAnswer: 652080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o\/o**5*(o**1)**45)\/((o\/o**(1\/4))**(-45))**(5\/18) assuming o is positive.\nAnswer: o**(403\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19116 is divided by 121?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2)*(-7)\/(-84)*8. Solve -804*l + 803*l - n = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2414*z + 622943. Determine q(-258).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/4 + 3 + (3 - 616). Let k = 608 + w. Sort -1, k, -5.\nAnswer: -5, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -19. Let l be 6\/(-9) + (-1240)\/(-6). Is -1*(z - (2 + l)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 178*p - 355*p + 175*p to the form c*p + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 2:42 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 - -1c?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 36 = g, -g + 4*h + 7 = -29. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in 2\/7, 14, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -73*j - 365. Let g be z(-5). Let k(b) = b**3 + 19*b**2 - 18*b + 43. Let a be k(-20). Solve l - 4*s = g, s + 10 + 3 = -a*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 366896171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yccycyuyccyyccc. What is prob of picking 2 c and 1 u?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25.2 - 67. Let f = l + 92. Suppose -4*j - 18 = 2*n - 3*n, -2*j - n = 12. What is the nearest to -2 in f, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 16 - (21 - 43)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 12:46 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 7:24 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24972005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 3*j**3 + 2*j**3 + 0*j. Let w = 1 - 3. Does 6 divide f(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 17*c - 4*c + 3*c - 3*c. Let o(d) = -3 + 5*d + 3. Determine o(y(i)).\nAnswer: 65*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1008 = 3612*l - 3570*l for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478874?\nAnswer: 2, 11, 21767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 1\/4 (b) -3 (c) -2\/3 (d) 0.67 (e) 53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 + 2*c**3 + c)*(-4*c - 3*c + c).\nAnswer: -12*c**4 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 11:07 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 5. Let c = j + 1.94. Let d = 0.060001 + c. What is d rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*r*z**2 + 68*r*z - 2*r - 9*z**2 wrt z.\nAnswer: 12*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1201, -2309, -3325, -4249, -5081?\nAnswer: -5821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 143114*c + 1 - 143070*c.\nAnswer: 44*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.14 + 0.34. Let u = l + 4.8. Let p = -342 - -342.2. Which is greater: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 12*p - 8846 = m, -p + 4426 = m. What is the greatest common factor of 56 and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3612547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, d: 1}. Give prob of sequence ede.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 25943787.8 to the nearest 100000.\nAnswer: 25900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.234 - -196740028\nAnswer: 196740028.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 4*t - 4*t)*(3 + 7 - 2).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 10*k**2 - 7*k - 18. Let u be n(9). Suppose -2*s = -2*r + 206, 3*r - 302 = -u*s - 4*s. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170 + 11*k - 170.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 12*u**2 + u - 1. Let p = 4 - 8. Is v(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**2 - 17632152*g + 17632148 = 0. What is g?\nAnswer: 1, 4408037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0*r + 3*g + 12, -2*r - 5*g + 11 = 0. Suppose -2*i + r*i - 4 = 0, -5*b - 2045 = -5*i. Let t = -277 - b. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.07 - 1.47. Let s = -37.4 - w. Is 2 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4142 + 120232?\nAnswer: 111040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 + -99. Suppose 4*b - 10 = -0*g + g, -b - 5*g = i. Let x be ((-112)\/(-28))\/(1 + 1). Solve -4*d = 6*w - x*w - 32, d - b*w = -7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/30*-1 + 54533\/230. Calculate the greatest common factor of 553 and c.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.06 (b) 5 (c) -1\/8 (d) -63.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 12:30 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 + 86 - (-11 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 6, 3*c - 2*n = -6*n - 8. Suppose q + c*q = 5*g - 25, -2*g - 2*q + 10 = 0. Suppose g*r = 2*p - 33, -3*r + 9 = 24. Solve 0*w = -p*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3. Suppose -b + 25 + 12 = q. Let l = b + -19. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 600936912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 680196860 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3024 (base 6) to base 12\nAnswer: -474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(sqrt(2)*-2)*-4)**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*g - 42*g = -20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/4)*g)**(-35)*g\/g**(2\/21)*g**(-5\/3))**21 assuming g is positive.\nAnswer: g**(-799\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5 + 51 = 0. Let j be 4\/(-6) + s\/(-21). Suppose 3*q = -2*q + 5*g + 40, j = 2*q + 4*g + 8. Which is smaller: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*u - 31, 2*u + d - 10 = -d. Let v = -6 + u. Suppose 0 = -3*p + v + 14. Solve -4*r = -m - p - 5, -8 = 5*m + r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69183 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32.1 - 32.6. What is the nearest to 1\/4 in 16, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/648*18)\/((-4)\/24).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 925819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.154 plus 16?\nAnswer: 15.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1. Let j(h) = -2*h - 1. Let x(o) = j(o) - 2*m(o). Let v be x(4). Let c = -7 - v. Solve 4*b - 2*b - 6 = c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 69 = -83*k + 86*k for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 603 and 737.\nAnswer: 6633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9 (b) 1\/2 (c) -1\/4 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -201 + 209. Solve -s = -2*s + 5*d - 20, 5*s = 2*d - q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/4 (b) -1\/20 (c) 2\/3 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 124011 - -2?\nAnswer: 124013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 33283317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2*s - 11 = 0, b + 1486*s - 1483*s = -15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 4 + 632)*1\/(-2). Let z = 19 - l. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3397774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676228632.\nAnswer: 2, 3, 2939, 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -241145951, -241145952, -241145953, -241145954, -241145955?\n\"Answer: -m - 241145950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*t**2*v**2 - 2957*t**2 - 10435*t*v**3 + 397*v wrt v?\nAnswer: -50*t**2 - 62610*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -1, 3, 1 in decreasing order.\nAnswer: 3, 1, -1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**3 - y**2 + y. Let h = 0 - -1. Let a be f(h). Sort -4, 3, a in descending order.\nAnswer: 3, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-12)*(-17)\/1632*-12.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j - 1. Suppose -36 = -26*i + 35*i. Let h = -5 + 7. Let w(q) = 2*q. Give h*m(c) + i*w(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 3*f + 3. Calculate k(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 838728 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - z + 20, -53*l + 49*l - 40 = 2*z. Sort l, 3, -6 in ascending order.\nAnswer: l, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2 - 503*o + 18. Let z(n) = 2*n**2 - 201*n + 7. Give 5*t(l) - 12*z(l).\nAnswer: l**2 - 103*l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 86 = -2*i + 5*j, 0 = -14*i + 16*i + 9*j + 140 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*b - 267*b + 66*b + 70*b + 61*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 243*m + 985. Determine a(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*s - 240*s = -127*s + 126 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -319588\nAnswer: 5\/159794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (534*k**3 + 1511*k - 3*k**2 + 1621*k - 3133*k - 3)*(k + 3*k - 3*k) in the form i*k**2 + o + q*k + b*k**3 + x*k**4 and give x.\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8)*v*(v**(1\/11)\/v)\/v)\/(v\/(v\/(v*v**0\/v*v))*v**(-1\/2)) assuming v is positive.\nAnswer: v**(-207\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -708 + 1073. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*d = 148*d + 4*a + 5, d = 4*a + 23 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2522 divided by -2522.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.856184 litres?\nAnswer: 1856.184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 - 134?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 + 66. Let t be p\/(-5) + (-4 - (-8844)\/(-210)). Which is greater: t or -47?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -105*w - 2*w**2 + 151*w + 28*w + 28*w**3 - 1 as j*w**3 + f + x*w**2 + c*w and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c. Let x be n(2). Let s be x\/(-27) - 11\/9. Is s != 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/24)\/((-1)\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 47 + 80 + -74 - 51\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**2 + 2*z**2 - 2*z**2)*(208*z + 280*z - 675*z) to f*z**3 + m*z + g + o*z**2 and give f.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39604 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/3)\/z*z)\/z**(2\/9))\/(z**(-2)\/(z**(1\/3)*z*z)))\/((z**(-1\/2))**(3\/11)\/(z**(-1)\/z)**(3\/44)) assuming z is positive.\nAnswer: z**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6287117*z**2 - 15467471?\nAnswer: -12574234*z","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b - 21. Let u be x(7). Sort -5, u, 1 in ascending order.\nAnswer: -5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 57, -13, 4, -9, 5 in descending order.\nAnswer: 57, 5, 4, -2, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1092 + -1090. Let q be 2\/8 - 29\/4. Put q, r, -4 in descending order.\nAnswer: r, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 14143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, q: 6, h: 3, j: 1}. Give prob of sequence hj.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1477 (b) 4\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 421*b**7\/42 + b**6\/30 - 22*b**3\/3 - 2*b - 124. Find the second derivative of q(c) wrt c.\nAnswer: 8420*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23364.44 and -0.161.\nAnswer: 3761.67484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 307659 and 1920538.\nAnswer: 63377754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 231942220 to the nearest integer?\nAnswer: 15230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1284 + 3850\/3. Sort f, -0.6, 5 in descending order.\nAnswer: 5, -0.6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6697 and 356828.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2077665*s**3*z**6 - 28*s**3*z + 9*s**2 + 2*s*z**2 - 10*s*z wrt z.\nAnswer: 249319800*s**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**2 + 13*k + 4*k - 12*k + 15*k + 28. Let q be p(-9). Calculate the greatest common factor of 46 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6014*k + 54253. Determine u(9).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2284435974?\nAnswer: 2, 3, 43, 1753, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18857215, -37714424, -56571631, -75428836, -94286039?\n\"Answer: o**2 - 18857212*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -168 + 168.5. Let h = -0.05 + -1.95. What is the closest to h in 0, 2, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i + 2 + 90*i**2 - 26*i**2 - 49*i**2 - 2*i**2 + i**2 + 0*i**2 + (0*i + 3*i - 4*i)*(2*i + 5 - 5).\nAnswer: 12*i**2 + 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13963513139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1407 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*p + 62 - 32 - 35 + 17*p wrt p.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 4. What is the units digit of 63 + p + 3 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 382 + -700. Let w be l\/4*(-4)\/(-3)*2. Let f = -79 - w. What is the remainder when f is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -325*m - 24004. Determine b(-74).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z**2 - 7. Let l be p(-3). Let v = l + 96. What is the greatest common divisor of v and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*k = 58*k + 3*d + 146215, 0 = -3*d - 24. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1761 is divided by 158.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, p: 11}. Give prob of sequence ww.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (414 + -421)*-1*2*(-7461)\/(-6)?\nAnswer: 3, 7, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 60909.\nAnswer: 121818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-11 - 4) - -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -a10 (base 15) to base 11\nAnswer: -177a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*q - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kqlqlklqqqlkqq.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 21\/5)*47\/(1316\/70)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4))**38*(o*o\/(o\/(o\/(o\/(o*o**2\/o)*o)))*o)**47 assuming o is positive.\nAnswer: o**(301\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 483 * -3\nAnswer: -1449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/373760 and 81\/9344.\nAnswer: 373760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48663 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2565.5 + 2565. What is the smallest value in k, -2\/5, 0.4, -1181?\nAnswer: -1181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1514 - 1416?\nAnswer: -3233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59204 and 190?\nAnswer: 296020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002160571494 rounded to seven decimal places?\nAnswer: 0.0002161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 2517324229\nAnswer: -2517324231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7217?\nAnswer: 7, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -107 + -1?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-3*(-6*sqrt(78)*-1 + sqrt(78)))\/(-6*-6*(sqrt(6) - (sqrt(6) - sqrt(96)))))**2.\nAnswer: 637\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 214, 516, 1104, 2074?\nAnswer: 3522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**4 + 20*a**3 + 12*a**2 - 52*a - 40 = 0.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 897.6 + -898. Which is the third biggest value? (a) -0.07 (b) z (c) -5 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*c - 18*c + 51*c)*(5 + 3*c - 5 + (2*c + 2*c - 6*c)*(0 - 1 + 0)) in the form b + a*c + h*c**2 and give h.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 12:04 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*c + a - 5933, -5*c + a = -9980. Is 57 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10097357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (4 + sqrt(75) + sqrt(75) + 0 + sqrt(75) + sqrt(75) + -4 + (sqrt(75) - (-3 + (2*sqrt(75) - sqrt(75) - sqrt(75)))) + 2)*-6)**2.\nAnswer: 7500*sqrt(3) + 68125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**2 - 2*p - 2. Suppose 0 = -25*f + 15*f + 50. Let m(s) = 4*s**2 - s - 2. Let o(y) = f*i(y) - 6*m(y). What is o(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 861, 1197, 1533, 1869, 2205?\n\"Answer: 336*s + 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6715092nm in micrometers?\nAnswer: 0.0006715092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 341925 by -2425.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 - -100?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 0. Let m(z) = -z**2 + 3*z + 7. Give m(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 29.\nAnswer: 7\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 29. Suppose -4*v + 3*p + 7 = 0, 4*p - 1 = -2*v - 3*v. Let r be (-3 - 2*-1)\/v. Sort a, r, -0.5 in ascending order.\nAnswer: r, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, v: 1, y: 7, x: 1, n: 3}. Give prob of picking 2 w.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3018651800 to the nearest 100000.\nAnswer: -3018700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -267 divided by 36155\nAnswer: -267\/36155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 505 + -154c8?\nAnswer: -14dc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 277712777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5170\/(-550) - (-40)\/4. What is the nearest to -0.1 in a, 0.2, -18, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (-8)\/4)\/(-1). Let w be (q + 8\/10)*5. Does 8 divide w*(-4)\/(-16)*21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 16. Let g be y(-7). Is g less than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -1. What is the units digit of j\/14 - 116\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-212)\/(-8) - -1) + 1*25\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 220212111 (base 3) to base 8\nAnswer: 43322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 453319, 453327, 453339, 453355, 453375?\n\"Answer: 2*f**2 + 2*f + 453315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 20*m**2 - 15*m - 75. Let i be x(-20). What is the highest common factor of i and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61228981?\nAnswer: 11, 5566271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*w + 4*d, 2*w = 5*d - 8 - 6. Let k = -2 - w. Let y(m) = -m - 6. Determine y(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + -8. Let z = d - -5. Let o = -0.93 - -4.93. Which is the biggest value? (a) -1\/2 (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25\/29 (b) -0.5 (c) 118 (d) -1 (e) 2\/9 (f) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 - -45. Suppose -3*r = -8*r + a. Is 23 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -817*b = -792*b + 100 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i**3 + 5*i**2 - 9*i + 7. Let b(o) = -2*o**2 - 9*o - 1. Let h be b(-4). Let z be f(h). Suppose -3*v = z - 571. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a + 4 - 2*a + 3*a - 2. Let y(p) = 10*p + 3. Let j(c) = -11*c + 0 - 5 - 2 + 3. Let w(k) = 6*j(k) + 7*y(k). What is -5*s(l) - 4*w(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*y - 3*y + 1417 + 102 + 209 = 0 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12396 - 12396. Put -8, r, -168 in decreasing order.\nAnswer: r, -8, -168","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12005 by 35.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**4 + 112*o**3\/3 + 392*o**2 + 93. Let r(g) = 0. Calculate g.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422*m + 423*m - 2 = 0. Let k(o) = -o**3 + 6*o**2 + 7*o + 2. Let u be k(7). Solve 4*d = -0*d - u*l - 18, 3*d = -m*l - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -19.5?\nAnswer: 58.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1988528 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c - 19 = -4*q, 3*c = 9. Let i(b) = 8*b**2 + 17*b - 131. List the prime factors of i(q).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - a**2 + 4*a - 1. Let o(v) = -11*v**3 + 3414*v**2 - 779736*v + 59261754. Let n(c) = -o(c) + 6*p(c). Suppose n(m) = 0. Calculate m.\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*((j\/j**12)\/j)\/j*j)**(11\/5))**(-26))**(-13\/2) assuming j is positive.\nAnswer: j**(-20449\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p + 66 = -0*p. Solve 3*s - 6 = -2*x + s, -4*s = p*x - 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*2\/3*-3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111 + -1011?\nAnswer: 1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + (2 - -4 - (-20 + 63 + -51))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -13. Solve 0 = 5*x + 21 + a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 10:14 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -286, -2040, -6544, -15088, -28962, -49456?\n\"Answer: -215*r**3 - 85*r**2 + 6*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.28 - -0.02. Let d = -240 - -236. Which is the nearest to n? (a) -3\/4 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5892 - 2192 = 50*v. Solve 0 = -v*u - 552 + 182 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25*(0 - 1)\/1*(-7176)\/(-1178060)*-394.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281 + 281 + 351*i + 16*i**2 - 351*i.\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tititiiitii. Give prob of picking 2 i.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 9:10 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 3*r + 3. Let i be j(3). Suppose i*s = 3*h + s - 8, -7 = -h + 5*s. Suppose h*q - 3 = 1. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 + 4*s - 2. Let a be (-9)\/(3*(-1)\/2). Suppose -m = -4*m + a. What is x(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4227.\nAnswer: 3, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -480 + 785. Let w = j + -240.8. What is w rounded to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-63)*1*7\/(-9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -774 = 129*i, 3*t + 3*i - 33 = -2*t + 5*i - 30 + 19 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -6. Suppose -w*k + 0*k = -6. Which is greater: 10\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 6. Let t(h) = 1. Suppose 0 = -j - j - 5*i, -i = 4. Suppose 6*d = 11*d - j. Give d*q(c) + 10*t(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40508 and 1292?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/8 and ((-16)\/112)\/(4\/(-118)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 - (-14 - 31) - 13.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61884 is divided by 952?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/240 and 59\/1056?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1298 and 826?\nAnswer: 9086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13989581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g - 2*g)*(151 - 92*g - 151).\nAnswer: 184*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s**2*t**2 - 24*s**2*t + 3*s**2 + 601*t - 21935 wrt t.\nAnswer: -4*s**2*t - 24*s**2 + 601","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 2*b = 162 - 114, -16*d + 373 = -5*b for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**4 - 6 + 0*s**2 + 0*s - 4\/3*s**3. Find the third derivative of l(f) wrt f.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n - 1219 - 3*n**2 + 11*n + 867.\nAnswer: -3*n**2 + 2*n - 352","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/263*(6\/64)\/(45\/30). Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 170 + 159 - 101 = 0. What is the lowest common multiple of 603 and h?\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*z + 4*z = -8, 5*z = -5*m - 10. Suppose m = -u - 4*h + 19, h - 14 = -5*u + 5. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*t + 2*t - 19 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**3 - 4*t**2 + 2*t + 1. Let i(n) = 4*n**3 + 5*n**2 - 3*n - 1. Let w(r) = -4*i(r) - 5*q(r). What is w(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2\/9 - 13382*b + 481784\/9 = 0. What is b?\nAnswer: -60223, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 10, x: 1, m: 4, r: 2}.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -25. Calculate the smallest common multiple of v and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + s**3 + 29114 + 4*s - 3*s - 29116. Let f be 4\/(-6) + (-8)\/6. Give i(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -698593*g + 189803 with respect to g.\nAnswer: -698593","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2841148838?\nAnswer: 2, 11, 5573, 23173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 494722 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 26*v**3 + 2*v**2 + 2*v. Let b be x(-2). Let r = 3062\/15 + b. Sort r, 1, -4.\nAnswer: -4, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*f = 1384, -t + 844 = 2*t + 5*f. Suppose -3*k = 4*z - 177, 3*z - t = -5*k + 2*z. What are the prime factors of k?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -4, -241, 1, -1286, 3 in decreasing order.\nAnswer: 3, 1, -2, -3, -4, -241, -1286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 349376 and 424.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 58\/6 - 5\/(-15). Suppose -102 = -w - 2*x, -5*x = -2*w + 5*w - 305. What is the highest common divisor of z and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*g**3 + 0*g**3 - 3*g**3)*(2 + 6 - 1 - 12*g) to the form r*g + u*g**2 + z*g**4 + j*g**3 + i and give z.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -8*b**2 - 35\/6*b**3 + 0*b - 1\/4*b**4 + 0. List the prime factors of u(-15).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8821073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252019304?\nAnswer: 2, 61, 516433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/3 + 26\/(-6) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 9, j: 7, c: 1}. Give prob of picking 1 y and 1 j.\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (50 - 58) + (-1 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 6196, -4, -1\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 171 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34546843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is dc + -dc?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -10011110001000101000?\nAnswer: 10011110001000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -a369?\nAnswer: -a364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, q: 1, r: 1, p: 2, a: 4, v: 4}. What is prob of sequence arv?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 56002, 55586, 55170, 54754, 54338?\n\"Answer: -416*c + 56418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 711*p - 306 + 936 = 676*p for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, v: 3, r: 13}. What is prob of sequence gr?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140312512?\nAnswer: 2, 23, 199, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o**3 + 4*o**2 + o + 2. Let f(s) = -6*s**3 + 3*s**2 + s + 1. Let b(c) = 6*f(c) - 5*q(c). Determine b(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000279206 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 k, 1 w, and 1 z when four letters picked without replacement from gcykzwg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 25 - 23*q**2 - 44\/3*q**3 - 5\/2*q**4 - 12*q. Factor b(i).\nAnswer: -2*(i + 1)*(i + 3)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - b - 442*b**2 + 444*b**2 + 2*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {s: 10, q: 3, g: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-168)\/228)\/7.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 greater than -617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5bb36 + -1?\nAnswer: 5bb35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0062283 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/18 of a day in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h**2 - 806 - 186*h**3 - 701*h**3 + 1589 + 0*h**2 - 782 as c*h + b*h**3 + k*h**2 + v and give b.\nAnswer: -887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**5\/210 - 689*q**4\/21 - 1898884*q**3\/21 + 284*q**2 - q. What is o in v(o) = 0?\nAnswer: -1378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 8*y**2 - 6*y + 1. Let z be p(7). Calculate the greatest common divisor of z and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*g**2 + 8*g - 25*g**2 - 4*g.\nAnswer: 12*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**5 - 85*b**4\/2 + 475*b**3\/3 - 155*b**2 - 1800. What is j in d(j) = 0?\nAnswer: 0, 1, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 18. Let z be k(14). Suppose 2*w = -8, 4*b - 3*w + 8*w = z. Suppose b = 3*q, -2*q + 7 = m + q. Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, -7, -3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 268\/3, 5, 0, -0.3 in ascending order.\nAnswer: -0.3, 0, 5, 268\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 smaller than -59.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 454 = 16*s, -451*c - 23 = -s - 446*c for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -515 or -525?\nAnswer: -515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -17. Suppose 2*w - 8 = -p*w. Solve -6*q + w*q = 4*a - 8, 0 = a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**5\/60 + 5*d**2 + 5*d. Let x(p) = -10*p**2 - p. Calculate x(r(z)).\nAnswer: -10*z**4 - z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -108, -106, -104, -102?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/4)\/(-2 - -1). Let v be ((-5)\/15)\/((-1)\/6). Suppose -22 = -v*z - y*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j - 3. Determine i(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2024)\/33396*504\/(-4)?\nAnswer: 84\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 20 = -5*w, -93*p - 16 = -4*w - 88*p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 125eb2 + 21?\nAnswer: 125ed3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-3 + 5 + 0)*(0 - 4*o**2 + 0).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 9*n**2 - 2)*(-23 + 4 + 0)*(11*n - 19*n - 16*n).\nAnswer: 4104*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*y - 336, -5*q - 700 = 5*y - y. Let r = 627 - y. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -164855 + 164851. Let l = -2.1 + 0.1. Which is smaller: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/128231, -2 in descending order.\nAnswer: 3, -1\/128231, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + b36b?\nAnswer: b35c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 5*q**2 + 2*q**2)*(0 + 3 - 1 - 9*q).\nAnswer: 18*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6*(-13)\/(156\/(-36)). Let m be (1\/2)\/(t + 2) + 1. Suppose 2*u = -3*u + 3*q + 37, -5*q = 5*u - 5. Which is the nearest to -1? (a) u (b) m (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*y = 3*h + 16, -3*h = -5*y + 10. Suppose -3 = -0*g + g. Sort h, -4, g in decreasing order.\nAnswer: g, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 - -33213?\nAnswer: 33112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1032\/7*b - 120\/7*b**3 + 634\/7*b**2 + 520\/7 - 2\/7*b**4 = 0. What is b?\nAnswer: -65, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 269431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*r = -0*p + 16, -3*r = 2*p - 12. Does 8 divide 274\/p*(-48)\/(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52521 - -410138. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4363.166 to the nearest integer.\nAnswer: 4363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4394, -8775, -13170, -17585, -22026?\nAnswer: -26499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = -10*c - 31. Is 8 a factor of c + -11 + 3*31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012906814 rounded to 7 decimal places?\nAnswer: 0.0001291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142155264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -550 + 550. What is the closest to -2\/5 in 0.61, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2. Let n(p) be the third derivative of -p**4\/8 - 2*p**2. Calculate z(n(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + o**2 - 2*o. Let r be p(2). Let x = 15 + r. Let b = 4 + x. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1830604.\nAnswer: 2, 457651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, l: 2, c: 7}. What is prob of sequence ll?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 5. Let f(g) = -5*g**3 - 5*g**2 - 12*g. Let y(h) = 6*h**3 + 5*h**2 + 13*h - 1. Let j(s) = o*f(s) - 4*y(s). Factor j(l).\nAnswer: (l + 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 - (1 - 2)*1. Let u = f - 8. Suppose 3*b - r = 118, -5*b + u*r + 204 = 2*r. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.0201, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y - 18*y = 286. What is the highest common factor of 154 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1575, 803.9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*c + 17*c - 190 = 602 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 11) to base 6\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -12\/6223159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -0.0257, -3\/2, -1, -13, 0.15, 14?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.872 + 5.8. Let u = s - -1.072. What is the smallest value in u, 1\/2, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**3 + s. Let m be p(1). Let q = 3 - m. Put 4, 1, q in ascending order.\nAnswer: q, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + h + h. Suppose 0 = 5*p - 3*s - 15, h = 14*s - 11*s. Suppose 0 - 3\/2*y**5 + 0*y**4 - 3\/2*y + 0*y**2 + p*y**3 = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 11:53 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - 2*(1 + -14) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -105, -104, -83, -36, 43, 160, 321?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 19*w + 72. Suppose 2*d - r = 82, -28 + 218 = 5*d + 5*r. Calculate the remainder when d is divided by a(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-2 - -2) - 3. Let l be (-14)\/18 - 1 - s. Let u = 139\/3 - 46. Which is greater: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60319029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 41 - 5*p + 0*p. Suppose -22*k = 405 - 163. Let j be z(k). Are 13\/5 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i + 123. What is the remainder when 58 is divided by g(27)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1066 - 1065)\/(9\/(-22))\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -269*g**2*r + 2*g**2 + 137831*g*r + 216346056*r wrt g?\nAnswer: -538*g*r + 4*g + 137831*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-80)\/(-4 + 0) + -3. Which is smaller: z or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 + 171. Calculate the remainder when z is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -204469 or -207114?\nAnswer: -207114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 7*p**2 + 6*p + 5. Suppose 7 = -u - 4*g - 7, 3*g + 15 = 0. Let f = u + -11. Let v be s(f). Solve 0 = -5*k + v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + -46 - (-3 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 730376446 and 8444?\nAnswer: 4222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4740 is divided by 1563?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11513 - 11547 - 232*x - 81*x**3 + 23012 - 315*x**2.\nAnswer: -(x + 3)*(9*x + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10892888.600933 and -0.02.\nAnswer: -10892888.620933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 10:44 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2514 divided by -6?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + u**2 - 4*u**2 + (46*u - 99*u + 48*u)*(4*u - 4*u - 2*u) - 4*u**2 - 3 + 3 to k*u**2 + b*u + x and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**4\/12 - 19*p**3\/6 + 47*p**2. Give f(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 5:45 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 90, 178, 290, 420?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 1304049?\nAnswer: -1304049.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -x + 28, 3*x = 5*x - 4*i - 62. What is the remainder when 147 is divided by x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*k = -84*k + 3722. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 924, -6, 2\/5 in decreasing order.\nAnswer: 924, 2\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1015\/17*6\/(-15) - 4\/34. What is the closest to f in 1, 2, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r - 35. Let h be i(5). Which is the nearest to 0? (a) 1\/3 (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4814 * 1.\nAnswer: 4814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/6*132\/(-363). Which is the third biggest value? (a) n (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -77727971, -77727972, -77727973?\n\"Answer: -d - 77727970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 860 - 19159. What is v rounded to the nearest one hundred?\nAnswer: -18300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -17*w + 99. Let s be o(6). What is the remainder when 257 is divided by 1\/(0 - 1\/s) + 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = 24*i - 225. Suppose -x - 3*t = 12, i = -2*x - 5*t - 0*t. Solve x = -p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35809000 to the nearest one hundred thousand.\nAnswer: -35800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 20 = -15*b. Suppose -2*m - 2*k + 3 + 17 = 0, -k = -b*m + 20. What is the greatest common divisor of 130 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30449429 is divided by 6089885.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7685198*g = -7685505*g - 28244 for g.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 10845*x**2 + 3*x. Let i(v) = -2*v. What is n(i(s))?\nAnswer: 43380*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 753188545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1780319*w + 1780193*w = 252 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + h + 3*h + 31471*h**2 + 14 - 31512*h**2.\nAnswer: -41*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 l when four letters picked without replacement from {l: 9, d: 9}.\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -2)*(-4 - -24)\/2. Let d be 15\/(((-84)\/(-32))\/(-7)). Let r = b - d. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5*t - 30 = 0, 3*d - 206*t - 24 = -209*t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1032 - 3686*z - 1989 + 957 in the form j + x*z and give x.\nAnswer: -3686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10774742 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1390*x. Let h(r) = -31*r**2. Give h(s(k)).\nAnswer: -59895100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -3 + -5 + 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50*-0.06.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8116263769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a72915 + -5?\nAnswer: -3a7291a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**3 - 5*m**2 + 8. Let d(n) = -1 - n**2 + n**3 + 5*n**2 - 7*n**2 + 2*n**2. Let z(f) = c(f) + 3*d(f). Calculate z(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0.5. Let d = 1.8 - 2. Let q be ((-2)\/4)\/((-35)\/14). Which is the closest to d? (a) s (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 2*n - n + (4*n - 2*n + n)*(-1 - 3 + 5) - 4 - 6*n - 3 + 5 to the form a*n + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (25\/80)\/(330\/(-396)). Let t be 0\/(3\/3 - 0). Suppose 0 = -t*s - s. Which is the nearest to 0? (a) s (b) y (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 76478 - 5*c**2 - 76478. Let u(s) = s + 74. Give u(z(d)).\nAnswer: -5*d**2 + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 104 = -176. Let h = -20 + a. Suppose -s + 2*s + 2*b - 102 = h, -3*s = -5*b - 306. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 97632?\nAnswer: 488160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**4\/6 + 3*x**3\/2 - 14*x**2 + 16*x + 70. Suppose -2*r + 9 = 3. Let l(f) = -2*f - 4. Give r*s(y) + 7*l(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2332*o - 13176. What is x(6)?\nAnswer: 816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.048 + 7.748. Let v = x + -7.6999844. Round v to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2197*j + 52059 + 8538 - 165354 = 114943 for j.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1826 = -211*l + 207*l, l + 3*p - 470 = 0. What is the closest to 3\/4 in -4, 2\/5, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p - p)*(-p**2 - 2*p**2 + 4*p**2 + (0 - 2 + 3)*(2*p**2 - p + p) - p**2 + 2*p**2 + 0*p**2 - 7*p**2 + 3*p**2 + 2*p**2 - 2*p**2 - 3*p**2 + 4*p**2).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6103 + 6106. Which is the nearest to -0.1? (a) i (b) -1 (c) -90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1216, 7, -2, 5, 0.3, -0.1, 2 in decreasing order.\nAnswer: 7, 5, 2, 0.3, -0.1, -2, -1216","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 612*x - 23*x = 16492 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/24 and 143\/786.\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562447 is divided by 223.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(133)\/sqrt(7)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -7.3. Let p = t - 0.3000012. What is p rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 104\/3319305 and -151\/990.\nAnswer: 19915830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ammmammammmaaammmmm. What is prob of picking 2 a?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxvzzjz. What is prob of sequence zj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -789*j**2 - 300*j + 72*j**3 - 49*j**4 - 99*j**3 - 36 - 645*j**3 - 98*j**4 = 0. What is j?\nAnswer: -3, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + f - 11. Determine h(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 73 = -g, -3*w = -2*g + 5 + 162. Let m = 136 - g. List the prime factors of m.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 6*y**2 - 6*y - 4. Let z be w(-5). Suppose -z - 2 = p. Let o = 6 + p. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**3\/3 + x**2\/2 - 11*x + 20. Let w be r(-4). What is the third smallest value in 0.4, w, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 4*y + y - 8 + 257 = 69, 3*y + 363 = -54*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Suppose -l*u = -2*g - 0*u, -3*g + 25 = 2*u. Suppose -y = -g*s - 24731 + 4736, -5*y - 4*s = -100004. What is y rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/4319056 and -13\/6.\nAnswer: 12957168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, -12, -25, -42, -63, -88?\n\"Answer: -2*p**2 - 3*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdattddt. What is prob of sequence ad?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 476\/3 - 1\/(-3). Suppose 2*j + j = a. Let y = 90 - j. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4870 - 3090. Calculate the highest common factor of 60 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -580 divided by -4?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 7*s - 5. Let b be d(-4). Let r(f) = f**3 - 6*f**2 - 7*f + 6. Let x be r(b). Solve -6*i - k = -5*i + x, -3*k - 4 = -4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 19*f**4\/2 - 17*f**3\/2 + f**2\/2 - 2*f - 17. Find the second derivative of i(n) wrt n.\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -461, -1, -2, 4, 50 in decreasing order.\nAnswer: 50, 4, 1, -1, -2, -461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 916, 4, 25023, 5 in decreasing order.\nAnswer: 25023, 916, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 120*g**2 + 2315*g - 294685. Give x(121).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -930.175 + 888.17467. Let y = -42 - v. What is y rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -16. Is l*2659 + -8 + 6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 58?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 227025 + 7?\nAnswer: 227034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1 - (-10 - -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10250 + 16951. Calculate the least common multiple of x and 7.\nAnswer: 46907","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27711218 and 4628.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-42)\/40)\/((-57)\/(-1368)))\/(525\/1750).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 7 + -14 + 4 - (-17 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**3 + 3*z**2 - 138*z - 33. Give x(-7).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4 = -3*o, o = 2*x - x + 12. Let i be 6\/9 - o\/(-6). Solve l - 14 = 3*f, 3*f + l = i*f - 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 12, d: 6}. Give prob of sequence qq.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1587*i + 18502. What is o(12)?\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -84*x + 2\/3*x**3 - 1\/2*x**2 - 2 + 31\/4*x**4. What is the second derivative of r(n) wrt n?\nAnswer: 186*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124987 is divided by 124913.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1838376 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/3219 and 99\/9694?\nAnswer: 843378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 559613072 and -327.87.\nAnswer: 559612744.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuqu when four letters picked without replacement from qqququuuuuuuuuquuuu.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - 0*(0 + 1). Is (-1756)\/(-36) + n\/18 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + l**2 + 16*l - 43. Let d be t(7). Let z be d\/(-35) + 20\/(-5) + 1. What is n in 0 - 18\/7*n**5 + 3\/7*n**2 - 6\/7*n - 3\/7*n**4 + z*n**3 = 0?\nAnswer: -1, -2\/3, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(684) + 0)*3*2 + (-3 + sqrt(684) + 5*(-1 + sqrt(684)) + sqrt(684) + 1)**2 + -5.\nAnswer: -624*sqrt(19) + 33560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*f - 68*f = 112*f + 8460 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 3)*(-8*d**3 - 490439 + 490439) + 0*d - d**3 + 0*d as j*d + i + s*d**3 + w*d**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23626029845678 - -0.22.\nAnswer: -23626029845677.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4) + -31 + (-67 - -55 - -15)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**5\/150 + 23*z**4\/10 - 143*z**3\/3 + 87*z**2 + 4*z. Factor q(m).\nAnswer: 2*(m - 5)*(m + 143)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**2\/4 + 15*a\/2 - 935\/4 = 0. What is a?\nAnswer: -17, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128073935?\nAnswer: 5, 11, 2328617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 499 divide 368262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25918 - 16385. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -364793429, -364793415, -364793399, -364793381, -364793361, -364793339, -364793315?\n\"Answer: w**2 + 11*w - 364793441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6640 and 100?\nAnswer: 33200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (44 - 40) + (-2 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 2*l, -4*r - 162 = -2*l. Let t = r + -41. Let h = t - -125. Calculate the greatest common factor of 15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-71)\/316 + 6\/24. Let h = r - 263\/1027. Let s = -13 + 12. Which is bigger: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.069 in 0.2, -2\/17, 2\/13, -10?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**2\/2 - 157740*g + 4146984600 = 0.\nAnswer: 52580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 10*r**2 - 5. Let i(h) = 1. Let b(w) = -6*i(w) - m(w). Differentiate b(s) with respect to s.\nAnswer: -20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43.5 + -46.5. What is the closest to -0.4 in -2\/19, 0.4, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 + 4. Let f be 6\/1*k\/12. Let m = 31 - f. What is the smallest common multiple of m and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*sqrt(11) + -1 - sqrt(11)).\nAnswer: 3 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-19 - (-1404)\/90) + 10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 10:35 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2194306?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -1\/3, -7\/6, 6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 10) to base 13\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 10103 (b) -294\/11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/2 + 28\/(-56) + -1 + 5. Suppose o + 15 = 6*o. Solve o*c - 2*c = 3*j + t, -c + 2*j = -8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-48)*(3 + -1). Let l(y) = -y - 2. Let s be l(0). Which is bigger: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -146 - -148. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12856+0.439\nAnswer: 12856.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -158?\nAnswer: 4\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + z - 8. Suppose 2*o + 0*o = -3*j + 5, -o = z*j + 10. List the prime factors of ((-6)\/o*4)\/((-4)\/30).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16592\/427)\/(-136)*(-14)\/(-202).\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1420 + -11e?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 9:33 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 76. Let q = -25 - -38. What is the greatest common divisor of q and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -2 - -1) + 1 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1 + 10 + 0 + d**3 + 13*d + 14*d**2. Calculate the remainder when 16 is divided by i(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.01 - 0.01. Let r = -3278.3 - -3464. Let j = -186 + r. What is the closest to -2 in s, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137729643 is divided by 372.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*a = 192*a - 380*a + 1636888. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150312783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 divided by -71?\nAnswer: -118\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12b02 + -1?\nAnswer: -12b03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/6)\/(-144*70\/(-70560))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50641947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -19. Suppose -2*o - 5*w = -23, -16 = -554*o + 552*o + 2*w. What is the remainder when h is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4046 is divided by 176?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Let j(c) = 10*c + 124. Let k be j(0). Let m = 125 - k. Which is smaller: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*f**2 + 5*f**2 + 5*f**3 + f**4 + 4*f**4 - 5*f.\nAnswer: 5*f*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 72410*z + 197432385.\nAnswer: 5*(z - 10839)*(z - 3643)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 2*n + 25. What is p(0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kxxxzzkzokkkzxkzzk.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 3. Let t = 25645.8 + -25646. Which is the closest to t? (a) 7 (b) 0.5 (c) -1 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 12*t - 2. What is i(8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 6501656 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-268 + 268 - 39*s**2)*(6*s**2 + 0*s**2 - 2*s**2) + (-s + 3*s + 0*s)*(-5*s**3 + s**3 + s**3) as r*s**3 + i*s + k + t*s**2 + z*s**4 and give z.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.345 (b) 41 (c) 3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/11 + 169134*x**3\/11 + 92250*x**2 + 1522106*x\/11 + 676488\/11 = 0. Calculate x.\nAnswer: -84561, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 545 - 335. Suppose j = -0*j + 22. What is the second derivative of -j*c - 12*c**3 + 210 - u wrt c?\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002011212 (base 3) in base 10?\nAnswer: -40955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214 (base 11) to base 14.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 4*i + 12. Let j be g(9). Let p = 55 + j. Calculate the greatest common divisor of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 442 + -3964\/9. Sort 3\/4, -2, r in ascending order.\nAnswer: -2, 3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 8*j = 2*z - 6, 2*j + 3*z + 16 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 - -630. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220 and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15433 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 102234 (base 5) in base 11?\nAnswer: 2651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 391745, 783544, 1175401, 1567316?\n\"Answer: 29*d**2 + 391712*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - d + 79, 4*k = 2*k + 4*d + 64. Calculate the smallest common multiple of k and 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780 is divided by 153?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -7*j**3\/4 - 36*j**2 + 21*j + 89. Factor o(p).\nAnswer: -3*(p + 14)*(7*p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -955 + 1833. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 33a (base 12) to base 6\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 259 - -322. List the prime factors of d.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 83 = -5*c, 5*t = 4*c + 371 - 310 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 6*g = 4*g - 26, -2*g = -4. Suppose 2*s - 3 = a, 0*a = -5*s + 4*a + o. Suppose 0 = 5*q - s*q. Solve 5*n + 4*l - 12 = -q*n, 4*n + 4*l = 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -7.3. Let f = -4 + 4. Which is the second smallest value? (a) f (b) g (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29395 divided by 961?\nAnswer: -29395\/961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 39, 45, 51, 57, 63?\n\"Answer: 6*t + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**9)**25)**(-6\/23))**0 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1134311, -2268167, -3402023, -4535879, -5669735, -6803591?\nAnswer: -7937447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356797 is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*q**2\/7 - 984*q\/7 + 4160\/7.\nAnswer: -4*(q + 26)*(11*q - 40)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - -2 - (-2 + -147). Suppose s - 29 = -0*s - v, 5*s + 3*v = d. What is the greatest common factor of s and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06896187+2475182\nAnswer: 2475181.93103813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-385)\/33)\/((-65)\/(-45))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*r**3*s**6 + 4*r**3*s**4 - 9*r**3 + 2*r**2*s**2 - 2*s**2 wrt s?\nAnswer: -600*r**3*s**3 + 96*r**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a centimeter in micrometers?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2. Let x(a) = -206255172*a**2. Determine x(k(g)).\nAnswer: -825020688*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6}. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, 222277830 in decreasing order.\nAnswer: 222277830, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010 - 11111011101?\nAnswer: -11111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2060*h**5 + 11*h**4 + 23*h**3 + 4*h + 529325 wrt h?\nAnswer: 41200*h**3 + 132*h**2 + 138*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 7*m - 33. Let q be r(-3). Let a(n) = n**3 + 2*n**2 - n - 2. Give a(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1\/4, -35, -2\/11, -3 in decreasing order.\nAnswer: -2\/11, -1\/4, -0.5, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prrfqrfjfpjprqjf. Give prob of picking 1 j and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14126 rounded to the nearest 100?\nAnswer: 14100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 25*d + d**2 + 8 - 4*d**2. Let f be k(-12). Solve 3*c = 8*c + f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-36) + 26\/36 + 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.879101 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 357630 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4114004 (base 5) in base 13?\nAnswer: 244cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**5\/140 + 29*z**4\/84 - 55*z**3\/42 + 27*z**2\/14 - 2*z + 2. Factor g(u).\nAnswer: -(u - 27)*(u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106923 is divided by 53448.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 10\/17 - -4\/51. Let p = 555\/1772 - 28\/443. Let t = -0.31 - -0.01. What is the third smallest value in p, t, 0, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.321 to 1 decimal place.\nAnswer: 37.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/3 - 14*i**3\/3.\nAnswer: i**3*(i - 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnxxxnxnxx. What is prob of picking 2 x and 2 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a + 150 = 26*a. Suppose a*l - 27120000 = 17*l. Round l to the nearest 100000.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*d**5 - 2*d**3 - 4973*d**2 - 7090*d + 4 wrt d.\nAnswer: -100*d**3 - 12*d - 9946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 9 - 17 = 0. Let z(s) = 2*s**2 + s**3 - 2 + 6 - 10*s**2. Let v be z(l). Solve -b - 2*u + 6 = 0, u = -b + v*b - 11 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3894)\/(-27) - 1) + 8\/(-36). Suppose 3*a = 2*o - 197, o - a + 47 - n = 0. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(2\/9))\/(d\/((d\/((d\/d**3)\/d))\/d)))**(-2\/151)\/((d*(d**(1\/6)*d)\/d)\/(d*d**(-2)))**(-30) assuming d is positive.\nAnswer: d**(88285\/1359)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70556 - -2539603\/36. Let q = g - 1\/36. Find the common denominator of q and -2*(78\/(-40))\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*z + 76 = -528 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - t - 30 = 0, -6*t = -2*t + 12. Suppose -5*g + 19 = r - 10*g, 0 = 3*g + b. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -2\/81 (c) 0.1726 (d) 2\/15 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -38021?\nAnswer: -38021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 57468*k + 320. Let p(u) = -5224*u - 30. What is 3*b(i) + 32*p(i)?\nAnswer: 5236*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1200, 1202, 1204, 1206, 1208, 1210?\nAnswer: 1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-60) - (-39)\/45)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9*s**2 + 5*s + 11. Let l(g) = -5*g**2 - 3*g - 6. Let w(i) = 177*i**3 + i**2 + i - 1. Let m be w(1). Let a = 173 - m. What is a*l(n) - 3*y(n)?\nAnswer: -2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1201 less than 6.883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -23 + 103. What is n rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2)*2*5. Suppose -4*z - 12 = -k - 1, -a*k + 1 = -2*z. Let g be 2 + k + (12 - -4). Solve -5*i + 3*n = -g, -4*i - n + 20 = 3*n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4568 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**4*o*o**(-4)\/o)**(-3\/17) assuming o is positive.\nAnswer: o**(-3\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 4:02 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2, -0.3, 0, -2\/11, -2.13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-54))\/((-15)\/(-117)) + (-16)\/96?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = -0, 0 = z - 5*w - 7. Let m(b) = -9 + 9 + b**z. Let v(t) = -6*t**2. Determine v(m(r)).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -355 (c) -0.03 (d) 3 (e) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 392, 446, 490, 518, 524?\n\"Answer: -b**3 + b**2 + 58*b + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m + 11. Calculate q(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -124*f + 1. Let z be q(-1). Let n be 2*(-30)\/32*240\/(-18). What is the highest common factor of z and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/698974161 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3534 + 0.29.\nAnswer: 0.6434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-24)*-4)\/(1\/(-179)). Let l = 190 + w. Solve 0 = 2*j + 2*h + 6, 4*j - 2*j - 3*h = -l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11\/3 + 13\/3. Let t(j) = 6*j - 7. Let c be t(-3). Let w = c + 122\/5. What is the nearest to s in w, 2, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29119\/18 - -1623. Let p = 139355\/21 + -6638. What is the common denominator of p and n?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90698 and 2222?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z + 4. Let q(o) = 76*o - 30. Let f(r) = -q(r) - 8*x(r). Calculate f(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-24) - 18\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, 2, 2\/63?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(180) + 1 + 2)**2 + -4*(sqrt(5) + -3) + sqrt(245)*-3.\nAnswer: -366 - 97*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -175*r**2. Let i(m) = 12*m + 21. Let k(d) = -3*d - 5. Let u(a) = 5*i(a) + 21*k(a). Give u(b(o)).\nAnswer: 525*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -264. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9182271.\nAnswer: 3, 7, 331, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 50, 52, 54, 56, 58, 60?\n\"Answer: 2*o + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*(-333)\/63714*451\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 8*g - 17. Let m be q(3). Suppose -7*a = -m + 9. Suppose 4 = -3*r - r. Sort 2, r, a, -5.\nAnswer: -5, r, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 - (26\/195 - 174\/(-45)) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5 = u + 5*a, -2*u + 4*a - 28 = 0. Let w be (6\/9)\/(u\/(-84)). Differentiate 16*l**4 + w + 2 + l**4 wrt l.\nAnswer: 68*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1509 - 3936 - 1643 + 68 - 2*y**3 - 2*y**3.\nAnswer: -4*y**3 - 7020","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27310 is divided by 9100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, i: 7}. What is prob of picking 2 d and 2 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {i: 12, c: 7}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4625 - -3?\nAnswer: -4622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45705 and 131505.\nAnswer: 36426885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 283031 to the power of 1\/2, to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1407, -4705, -10197, -17877, -27739?\n\"Answer: f**3 - 1103*f**2 + 4*f - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xts. Give prob of picking 1 s and 1 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 10*q + 8. Let p be d(-11). Let k be 16\/20*(p + 143). Suppose k = 8*w - 4*w. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -316 + 315.9. What is the closest to -0.1 in 2\/9, l, 41?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-1610)*(-115)\/46*-2\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)*m)\/((m\/(m*m**(-11)))\/m)*m**(-1\/7)*m\/(((m\/(m\/(m*m*m*m*(m*(m\/((m*m**(-1\/4))\/m))\/m*m*m)\/m*m)))\/m)\/m) assuming m is positive.\nAnswer: m**(-487\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by 747237?\nAnswer: 21\/249079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14972 + -9989. Suppose -q = -8*s + 497. What are the prime factors of s?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 2599*n**6\/6 - n**3\/3 - 3*n**2\/2 + 96*n - 4056. What is the third derivative of o(p) wrt p?\nAnswer: 155940*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28592981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-65)\/(4\/(3 - 7)). Let c = -62 + z. Let t(s) = c + 32*s - 33*s - 3. Let j(x) = -30*x**2. Calculate t(j(a)).\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5164, -21, -2\/1713 in ascending order.\nAnswer: -5164, -21, -2\/1713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 13*l**2 - 13*l + 10. Let y be a(12). Let s be (y\/4)\/((-2)\/12). Suppose o = -s*o + 20. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.95 + -9. Let j = 125 + -124. Which is the closest to 0? (a) 2\/5 (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4934625499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, i: 9, g: 1, y: 1}. What is prob of sequence gy?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*k + 30 - 6 = 0, d - 12 = -2*k. Solve -p - 3*p = d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*g + 23*g - 8. Suppose 5*i - 7 = -w, -2*i + g = 3*w - 13. Solve 4*r + w = 3*f - 1, 0 = 5*r + 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6435 - -6420. Suppose -5*k + 14 = -4*i + 2, 0 = 2*k. Sort 4\/5, -5, i, g.\nAnswer: g, -5, i, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**4\/2 - 2*x**2 + 2*x. Let v(f) be the second derivative of -f**3\/6 + 2*f + 451. Determine v(t(l)).\nAnswer: -6*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 15*f - 28. Let j(l) = -6606063 + 6606063 - l**2. Give j(h(o)).\nAnswer: -225*o**2 + 840*o - 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 + 368*j**2 + 307*j**2 + 2*j**3 - 992*j**2 + 317*j**2.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -340412 (base 5) to base 9\nAnswer: -17383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 4. Let l be g(7). Let q(w) = -w**3 + 3*w**2 + 3*w - 1. What is the remainder when 15 is divided by q(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171973 is divided by 3908.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**4 - 17*u**3 + 31*u**3 + 4*u - 16*u**3 - 1 - 2*u**2 + 5*u**4 as t*u**4 + o*u**2 + d*u**3 + q*u + i and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**4\/9 - 8*z**3\/9 - 2*z**2\/3 = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/28 + 15\/21. Suppose -9 = -4*v - l. Let y(a) = -8*a**2 + 2*a**2 - v*a + 0 + 4*a**2 - 1 - 9*a**3. What is y(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, n: 6, e: 2, y: 2, j: 3}. What is prob of sequence ney?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 18*c**2 + 15*c - 18. Let b be l(-17). Solve -4*u = 4*n - b, n + 2*u - 16 = -2*u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -1205.\nAnswer: -1204.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-4)\/2 + 2. Let m(q) = -2*q**2 + q + 4. Let d be m(0). Solve x + g - d = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79768 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 4:49 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74\/10 + (-15)\/(-25) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -624\/101 or 198.81?\nAnswer: -624\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -360, -1034, -2076, -3450, -5120, -7050, -9204, -11546?\nAnswer: -14040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/3510 and 163\/2970.\nAnswer: 38610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 22 = 17*w. Let p be 11\/3 - ((-12)\/9 - w). Solve -3*x = -4*x + p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57086261 divided by 5.\nAnswer: 57086261\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17199 by -63.\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104.1724 - -27295.6764. Let k = -27193.1039899 + o. Let l = k + 1.6. What is l rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3729*d**2 - d + d - 3767*d**2 as j*d**2 + i + n*d and give j.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/16)\/(50718\/7584)?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6315 + -6309. What is the nearest to k in -6\/7, 2, 5\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*a + 30 = 0, 5*a = 3*d - 0*a - 70. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 464 - 299 - 112.\nAnswer: -2*s + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8\/24*(-10)\/90*6\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -25*i**2 - 25*i - 24. Let v(y) = 49*y + 24. Let q(o) = -5*f(o) - 6*v(o). Differentiate q(l) with respect to l.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 - -69. Let g(x) = x**2 - 5*x + 2. Let r be g(b). Let s(q) = -32*q - 5. List the prime factors of s(r).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 48*m. Let k(x) be the second derivative of 2*x**4\/3 + 281*x. Give j(k(d)).\nAnswer: 384*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65124626*l**4 + 2*l**3*p + 30275*p + 377 with respect to l.\nAnswer: 260498504*l**3 + 6*l**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8439\/15106 - -47\/91. Calculate the common denominator of x and 91\/18.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2868 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-6)\/16*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -2, 1372 in descending order.\nAnswer: 1372, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 92189379 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -6)*(-32)\/6. Suppose -4*o - 5*k = -l, -3*k + 5*k = 5*o - 7. Suppose -41 = -o*n - 4*v, -2*v = 3*n + 9 - 46. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 130?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + q - 4 = 0, 478*q = 8*l + 958*q - 485*q + 17 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Let o = -3.1 - -3. Suppose 4*j = w - 25, -w = w + 3*j + 5. Let f be 1\/(-12)*(-8 + w). Which is the third smallest value? (a) 3 (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -0.237, 0.4, 4\/135?\nAnswer: -0.237","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 233936557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 12:12 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 + -42. Solve -5*b + r = -5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50791543386578\/30405 - 1670499700. Let b = -1222135\/147971 + 603\/73. Let j = c + b. Is -1 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 - 34*d + 249. Let t be x(6). Which is greater: 565\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 17. Is 9 a factor of (-9)\/j*40\/6*-108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w + 10. Let i(h) = -8*h - 19. Let g(s) = 3*i(s) + 5*m(s). Let j(b) = 2*b - 5. Let k be j(-3). Let x(n) = 7*n + 13. Calculate k*g(d) - 6*x(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*i + 31 + 172. Let j = -15 - -33. Let w be j\/(-4) + (3 - 5). Which is bigger: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54a (base 14) to base 6\nAnswer: 4502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4 = -6. Suppose 1 = -z - 4*m, -u*m = 3*z - 8*z + 17. Solve z*l - 3 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3866 + 155*b**2 - 3866.\nAnswer: 155*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 5*v = 14, -24 = -b - 118061*v + 118047*v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 13*i - 39. Let b be s(-3). Solve 0 = 5*r + b + 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2927291 to the nearest integer?\nAnswer: 1711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 24700261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -30*v**4 - 213*v**3 + 945*v**2 - 1197*v - 21. Let w(b) = -7*b**4 - 53*b**3 + 236*b**2 - 299*b - 5. Let i(g) = 5*a(g) - 21*w(g). Factor i(r).\nAnswer: -3*r*(r - 7)**2*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -951 + 1084. What are the prime factors of w?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2. Let q(o) = -2 + 10*o + 4*o + 2. Give a(q(x)).\nAnswer: 588*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 7:36 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2832562, 5665126, 8497690, 11330254?\nAnswer: 14162818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 793 - 1599 = 0. Is b a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 181, 718, 1627, 2920, 4609?\n\"Answer: 2*d**3 + 174*d**2 + d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07000035 - -0.07. What is v rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 + 16236*r\/7 + 325520\/7.\nAnswer: -2*(r - 8138)*(r + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -2 - 0) + -4. Let v = p + 2. Let w be ((-1)\/(-2))\/(v\/(-102)). Solve 5*o = 8 + w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (66\/154)\/((-20)\/700)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53536520 to the power of 1\/2, to the nearest integer?\nAnswer: 7317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1032.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 68*p - 267. Let i be w(4). Sort -31, i, 3 in descending order.\nAnswer: i, 3, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 19\/20*v**5 + 1\/60*v**6 + 0*v + 0*v**4 - 1\/35*v**7 - 22*v**2 - 1 + 0*v**3. Find the third derivative of t(h) wrt h.\nAnswer: -144*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -345, -699, -1071, -1473, -1917, -2415?\nAnswer: -2979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (552\/34 + -11 - 5)*1\/(-2)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*-1*4)\/(sqrt(11) + sqrt(132)\/(sqrt(24)\/sqrt(2))).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 5 = 0, 5*b - 3*z = -16 + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 - 194. Let o = -56 - f. Let x = -32 + o. Which is bigger: -0.1 or x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*q = -4*t - 30, 41 = 3*q - 2*t. Calculate the remainder when 50 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -294*m**4 - 2*m - 135 with respect to m.\nAnswer: -1176*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/7 (b) -1\/3 (c) 4 (d) 40 (e) 11 (f) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**5 + 265*i**4 - 153885*i**3 + 4080175*i**2 + 371492540*i - 375419100 = 0 for i.\nAnswer: -210, -38, 1, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**4 - 8071783*u**3 + 6597880*u**2 + 2 wrt u.\nAnswer: 48*u - 48430698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 209835130*i**2 - 336777383.\nAnswer: 419670260*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 333\/5227?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/10)\/(1111\/(-5555)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60569914 a multiple of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7814675*k**4 + 8928334*k**2.\nAnswer: -187552200*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*y + 129, 5*s - 4*s = -4*y - 120. Let l = y - -41. Suppose 0 = -d - g + l, d - 3*g - 5 = 27. Calculate the remainder when 48 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -148314 - 273?\nAnswer: -148587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201 + f**2 - 395 + 194.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 38596*v - 463121. Calculate i(12).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 at least 5237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16120329 - -2\nAnswer: 16120331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80781 is divided by 75.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -547005 = -547006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 13*p - 136. Let a be y(7). Solve a*x - 6*x = -2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002556670162 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 983, 3, -4, -34, -3 in increasing order.\nAnswer: -34, -4, -3, 3, 983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26774369, 53548728, 80323071, 107097392, 133871685, 160645944, 187420163, 214194336?\n\"Answer: -n**3 - 2*n**2 + 26774372*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 - -175 - (-4 - (-15 + 7)) - 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 214 - 1688. Let o = u + 2178. Suppose 4*r - 880 = -5*m + 5*r, 2*r = -4*m + o. What is the highest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -52*v + 12. Suppose -13 = 5*w + 3*z, -w - 1 = -4*z - 3. Let h be y(w). Let t = h - 114. Solve t*l + 0*o = -o, 0 = 2*l + 3*o - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6314.19l?\nAnswer: 6314190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6278606, 6278608, 6278610, 6278612, 6278614, 6278616?\n\"Answer: 2*q + 6278604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3 - (-40)\/12). Let u(a) = 3*a**5 - 3*a**2 + a. Let g(l) = -l**5 - l**2 + l. Let t(v) = y*g(v) + u(v). Find the second derivative of t(x) wrt x.\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -187, -196, -207, -220, -235, -252?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppdppfpplpdppp. What is prob of sequence lpf?\nAnswer: 13\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1602)\/(-2670))\/((-21)\/2).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 4. Let t = s + 7. Solve t - 1 = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -21. Find the first derivative of 22*h**3 + 22*h**3 + 60 + 25*h**q wrt h.\nAnswer: 207*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 28) + 25 + (1 - -20)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 8) to base 4.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -3. Suppose 3*d = m*x + 34, 2*d + 0*x + 5*x = 6. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**32*b\/b**(1\/2))\/(b\/((b*(b**38\/b)\/b)\/b)*b**3\/b) assuming b is positive.\nAnswer: b**(131\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 3711476544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 13. Let b be (h\/2)\/(6\/16). What is the second smallest value in -2\/11, -1\/3, b?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2444 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/1*(-221)\/663?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8856 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 1)*(-2)\/4. Let r(l) = -12*l**3 + l**2 + l - 1. Give r(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369410 bigger than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*k + 109*k. Which is the closest to 0? (a) -3 (b) k (c) 3\/2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(4)\/sqrt(2) + 3)**2.\nAnswer: 30*sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1508910 >= -1508910?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/9 and 501\/(-744)*(10 + 416\/(-42)).\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 9. Suppose 6*g = g + 140. Calculate the highest common divisor of q and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**3 + 15366*k**2 + 578307*k - 6451596 = 0.\nAnswer: -5084, -47, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -9*c + 4*c, 231 = y + c. Calculate the remainder when y is divided by 82.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 11*n**4\/2 - 13*n**3\/6 - 3*n**2\/2 + 28*n. What is the second derivative of x(i) wrt i?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*q**2 - 1 + 4*q**4 + q**3 - 2*q**4 - 3*q**4 as w*q + v*q**2 + n + r*q**3 + c*q**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27524 and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 15*a**2 + 14*a.\nAnswer: a*(a - 14)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4686.\nAnswer: 2, 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z**2 + 3*z - 15. Let m be w(-5). Let i = -523 + m. What is the hundreds digit of i\/(-3) + (-18)\/(-54)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 100893298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 1, k: 1}. What is prob of picking 1 w and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkmkkkkmk. What is prob of sequence mkm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*c - 45, -2*c - 118 - 71 = -5*g. Let b(o) = 37 - g - o. Let n(p) = 2*p + 3*p - 2*p. Calculate b(n(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*f + 20, -5*m = 2*f - 23 - 1. Suppose -4*x + 29 - 9 = 0. Solve 11*k**3 - 3*k**4 - k**2 + 4*k**f + 3*k**x - 14*k**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/(1824\/128)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -11 + 65 + -63.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 9 - 1. Let u be (y\/6)\/((-18)\/1296). Suppose -f - 5*j + u = f, 0 = -j. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 10110111?\nAnswer: 10110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75 + 68.4. Let p = c + 7. Let s = -594 - -599. What is the nearest to -0.2 in p, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 4*z**2 + 6*z + 2. Let y be g(-5). Is 11 a factor of 11 + y + 2 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 - 24*j - 14. Suppose -46*a + 55 = -51*a. Let u be k(a). Solve 12 = u*f - 12*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146049219 to the power of 1\/3, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50*m - 6 + 50*m + 2*m**4 + (-25*m + 23*m + 22*m)*(m**3 + 0*m**2 + 0*m**2).\nAnswer: 22*m**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 893, 1526, 2159, 2792?\n\"Answer: 633*w + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274888 is divided by 238.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9061254?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 11*g**2 - 73*g - 14. Let v(o) = o**3 - 16*o**2 - 110*o - 20. Calculate 7*j(f) - 5*v(f).\nAnswer: 2*f**3 + 3*f**2 + 39*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 125051 take away -233401?\nAnswer: 358452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from xwntr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onnnonnolnoonnnno. Give prob of sequence oo.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 433232 and 68.\nAnswer: 7364944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**6\/30 - 2*w**4\/3 - 14*w**2. Factor j(d).\nAnswer: 4*d*(d - 2)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*((-27)\/(-81))\/((-1)\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + r + 11 = 0, -482*f = -481*f - 2*r - 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2. Let h(c) be the third derivative of -7*c**5\/60 - 4*c**2. Give h(k(g)).\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1377.559 and 1.2.\nAnswer: 1653.0708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -162729 + 83729. Round q to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) -1 (c) 2\/41 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-12) - (-417)\/(-18))*-2 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/3*4*1. Let r = 13 + i. Suppose 0*p = r*p. Solve 3*g + p = -9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(6\/(-9))\/(-2). Suppose -44 + v**2 - v**2 - v**2 + 48*v - 3*v**c = 0. What is v?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/45)\/(1\/6)*-2. Let z(v) = -8*v**2 + 15. Let t(x) = 8*x**2 - 14. Let k(g) = 5*t(g) + 4*z(g). What is the hundreds digit of k(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 0 + 6*z + 1\/6*z**3 + 3\/2*z**2. Let w be y(-4). Is -12\/7 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 21*k**2 + 356*k + 55. Calculate m(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009228695 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 + 55*k - 31. Let v be s(29). Which is smaller: -116 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*u - 3 - 13 = 0, 5*p - 22 = -3*u. Put -4, p, 1, -3 in decreasing order.\nAnswer: p, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 + -52245?\nAnswer: -52223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*s = 100, 3*s - s - 8 = 0. Let h = -12 - -12. Suppose h = -t + 128 - 10. Calculate the remainder when t is divided by g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = r + r + 16, 2*q = -2*r - 10. Let u = -3 + r. Suppose -g = -5*x + 15, -6 = -2*x + 2*g + 2*g. Sort 4, u, x in descending order.\nAnswer: 4, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 9*i - 26. Let w be p(-12). Let u be (-2)\/(8\/w)*-2 + 0. Suppose -u*f + 18 = 3. Solve -o = -f*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, j: 3, l: 4, u: 2}. Give prob of picking 2 j.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppb when three letters picked without replacement from ppbb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*s = -6*s - 13, 2*l - 4*s = 8. Suppose -4*y + 5*o - 9 = -l, -2*y - 3*o = -13. Factor -4*c - 7*c**3 - y*c**4 + 0*c**3 + 11*c**3 + 2.\nAnswer: -2*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 3\/7, -0.02, -5, -0.8?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z - 6. Let q be j(5). Suppose 5*h - 2*h + 15 = 0. Let i = h - -9. Solve i = o - 5*b, -3*o = 2*o + q*b + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1404\/16536*(-13832)\/(-39) + -30.\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*m + 544 = -33*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -4*x + v - 20, -2*x - 20 = 2*v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/10? (a) -1\/7 (b) -3.18 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.6 + -27.7. Let w = -11 - o. Let c = -5.1 + w. What is the smallest value in c, -2\/9, 2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2064, 8, 5, 2 in decreasing order.\nAnswer: 8, 5, 2, 1.2064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 2*s**2 - 9*s + 1. Suppose -8*a - a - 36 = 0. Let p be x(a). Suppose -4 = -n, p*k - 318 - 78 = n. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.8 - -7. Let s = -4 + 5. Which is the third biggest value? (a) s (b) -0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4\/4 + 1186953*i**3\/4 - 10682679*i**2\/4 - 24926213*i\/4 - 6528291\/2 = 0. Calculate i.\nAnswer: -1186962, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002756457619 to 7 decimal places.\nAnswer: 0.0000276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*t**3 - 197964*t**2 + 4526362 wrt t.\nAnswer: -15*t**2 - 395928*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*h + 0*h = -6, l + h - 2 = 0. Suppose -137 + 236 = 33*b. Solve -l*j + 3*n + 13 = 0, -b*j - 4*n = j + 24 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 8*o**2 - 12*o - 9. Let u be f(-7). Suppose 16*p = 14*p + u. Let z = 103 + -53. Calculate the remainder when z is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -8*p + 66. Let h be y(8). Let g(u) be the third derivative of -u**h + 0*u + 1\/24*u**4 + 0 - 2\/3*u**3. What is g(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/20 and -7\/4242212.\nAnswer: 21211060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(5))**2 + (sqrt(7) - (2*sqrt(21))\/sqrt(3)).\nAnswer: -sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2386)\/125265 + (-33065)\/525\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 10:11 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1613 - 61 + 761 + 179)*(-27*t - t + 4*t) to the form w + f*t and give f.\nAnswer: -59808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 60 = 4*b, -b - 45 = 2*b - 3*x. Let o = -13 - b. Does 4 divide ((-1 - o) + 54)*2\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 1 - 2 - 4) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3988614 (base 10) to base 15.\nAnswer: -53bc29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(20\/(-6)))\/((-252)\/(-3573780)*127)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (32 - 35 - -18)) + 33 + 1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, r: 4, x: 2}. Give prob of picking 1 r and 2 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/85, 2, -3, 9, 5\/2, 0.5 in ascending order.\nAnswer: -3, 6\/85, 0.5, 2, 5\/2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00076155966 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (13 - (-7 - ((-16 - 102) + 13))).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.5 - 15. What is the closest to 0.1 in -3, 0.7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*q + 3*d + 5, -15 = -5*q + 5*d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h. Let b(x) = 4*x - 11. Let p(g) be the second derivative of 4*g - 2*g**2 + 0 + 1\/6*g**3. Let n(q) = -4*b(q) + 11*p(q). Calculate z(n(l)).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*x + 23, 3*d - x - 6 = 2*x. Let b be (d\/(-2))\/(16\/(-128)). Let q be ((-8)\/b)\/(8\/(-9)). What is the closest to -0.1 in q, -1\/10, 1\/7?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39220*r**5 - 48242*r?\nAnswer: 784400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -178, -307, -434, -535, -586, -563?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 906187.9ml to litres.\nAnswer: 906.1879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-28)*k**17)\/((k*k**(-17)*k)\/(k*k\/(k**(-5)\/k)*k)) assuming k is positive.\nAnswer: k**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 121536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/18 - (-4532)\/6 is divided by 316?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**4 - 55*p - 4*p**3 - 10 + 0*p**2 - 74*p + 3*p**2 + 125*p - 8*p**3 to m*p**3 + y*p**2 + z*p**4 + v*p + h and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 - 8. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/960*30)\/((-3)\/(-3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = 65*v - 821 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, 0.16, 62, -1\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 3\/4, -2\/3, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1048260*y**2 - 76977?\nAnswer: -2096520*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**3\/3 + p**2\/2 + 2*p + 8. Let y be s(0). Suppose -9*r + 11*r = y. Solve -g + 4 = -r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 9. Suppose -33 = -5*k - 2*y, -28 = k - i*k - 2*y. Let t = 5\/4 - 11\/12. Which is the third smallest value? (a) t (b) -0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from {a: 9, w: 4, c: 1, z: 2}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 310.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 16841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g - 5*g - g + 10 + 3*g. Calculate the smallest common multiple of z(-5) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 + 2*t + 1. Let n = -3 + 2. Let s be i(n). Suppose -u + s = -11. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250094?\nAnswer: 2, 13, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3342 not equal to 2928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, f: 14}. What is prob of sequence vvv?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110011100011 + -1111?\nAnswer: -100110011110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*x**3 - 66*x**3 - 83*x**3.\nAnswer: 19*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 + 2476 = 5*a. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -372 - -408. Calculate the least common multiple of w and 75.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*d**3 + 759*d**2 + 6531*d - 735.\nAnswer: -3*(d - 35)*(d + 7)*(9*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 2, 2\/21, 0.5, -1\/8, 7.\nAnswer: -1\/8, 2\/21, 0.5, 2, 7, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 30. Which is the nearest to v? (a) -14 (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*f + 3*f + 2*z, -2*f - 2*z + 10 = 0. Suppose -h = 0, -h + 45 = f*x - 0*x. Calculate the highest common factor of 60 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 145*k**4 - 8 - 138*k**4 - 1 with respect to k.\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 7:27 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/5 - 78*o\/5 + 207\/5.\nAnswer: 3*(o - 23)*(o - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 2*j + 3. Let t be g(-3). Suppose t*c = c + 15. Suppose -2*q + 275 = c*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 474.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**5 - u**5 - 3*u**5 + (-1 + 1 + u**3)*(-2*u**2 - u**2 + 5*u**2).\nAnswer: -5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + (sqrt(180)*3 + 3 + 5*(2*sqrt(180))**2)*-5).\nAnswer: 90*sqrt(5) + 18017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 313456 and 78?\nAnswer: 940368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*i + 21*i - 111*i.\nAnswer: -121*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -10. Suppose -4*z = 5*u - 47, -u - 8 - r = -2*z. Let p be -4 + -1 + 2\/(4\/10). Solve 4*w = 3*b - p*w - z, -5*w - 10 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q - 8. Let n(l) = 5*l - 9. Let z(v) = 5*n(v) - 6*x(v). Is z(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 9\/(-27)*162\/(5 + -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 153 + 13 = 0. Suppose 23 = h + 5*n, 0 = 5*h + 3*n - 32 - l. Let s be 115\/(-15)*(1 + -7). Calculate the highest common factor of s and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/2)\/(p**(4\/15)*p) assuming p is positive.\nAnswer: p**(7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.29 and -31.185?\nAnswer: 9.04365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -830*o + 595 = -1508*o + 10087 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -40 (c) -1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 5*p - 25, -13*b - 20 = -8*b - 4*p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84456 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-5 - 8) - (-3 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 16131.\nAnswer: 2\/16131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51 or -21?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2. Let s(a) = 3611*a**2. Give q(s(b)).\nAnswer: -13039321*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 7 + 5 = 3*l, 4*l + 4 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.1 + 18. Is 0.5 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/589888 and 11\/20.\nAnswer: 2949440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**6\/120 - f**5\/10 + 5*f**3\/6 + 3*f**2. Let v be l(-6). Solve 5*t + 22 = -j, -4*j = -v*t - 9*j - 30 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(76)\/sqrt(4) + -3 + 2)**2.\nAnswer: 2*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-7))\/(8\/(-56)*-1). Suppose 9 = 5*k - 6. Suppose 5*y = -i - k*i + 160, -97 = -t*y + 5*i. Calculate the highest common divisor of y and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -4827, -0.1, -2, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9424897*l**2 - 7142404?\nAnswer: -18849794*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 16 - (-195 - -222) - (36 + -1 - 9).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + r + 12, 5*g - r + 8*r = -6. Which is smaller: g or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1226838956.\nAnswer: 2, 7, 43815677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136*k**2 + 18 + k - 138*k**2 + 9 - k to the form z + g*k**2 + a*k and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -231. Suppose 11*m + 1475 = 144. Let g = m + q. Calculate the remainder when g is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*g - 414 + 18 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**6\/144 + n**4\/24 + 17*n**2. Let w(m) be the second derivative of i(m). Calculate w(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 421275680 and 320.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1113 and 72282.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, 35, 186, 335, 482, 627?\nAnswer: 770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**9\/252 + 13*v**7\/30 - v**5\/30 - 1405*v**4\/24 + 1773*v**2. Find the third derivative of w(c) wrt c.\nAnswer: -240*c**3 + 2184*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 15*r**2 + 17*r + 18. Let g be j(-16). Let v(a) be the first derivative of -g + a - a**2 + 1\/3*a**3. Let v(b) = 0. What is b?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229244568.\nAnswer: 2, 3, 7, 47, 29033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 109659.9 nanometers?\nAnswer: 0.0001096599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 203 = -5*g, 516 = 60*i - 55*i + 4*g. Calculate the remainder when 4984 is divided by i.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67184?\nAnswer: 2, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + l = -6. Suppose 0 = 2*s - l*u - 47, -5*u + 30 = s - 0*u. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205322?\nAnswer: 2, 13, 53, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -11. Let z be (-102)\/(-6) - (1 - 0). Suppose 5 = i + 4, 0 = a + i - z. Calculate the remainder when a is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2.5. Let d = 2.5 + -2.7. What is the biggest value in d, z, 2, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-8\/5)\/t**(-6\/11) assuming t is positive.\nAnswer: t**(-58\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*s - 34*s**2 + 35 + 33*s**2 - 79*s to a*s**2 + r + c*s and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5714433451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 101110?\nAnswer: 101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -1, -11.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/5))**(4\/37) assuming l is positive.\nAnswer: l**(-8\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*b = -4*k + 96, k = 4*b + 39. Let i(w) = -9*w - 1. Let p be i(-3). Let z = k - p. Solve -6 = x - y, 0 = 4*y - 9 + z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-7\/2)*w)\/w**(-2\/23)*w**(-39)*w**(-31) assuming w is positive.\nAnswer: w**(-3285\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4 - 11, 0 = -5*f - 5*a. Suppose c - 289 = -5*q - 2*c, -2*q + f*c = -128. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 5*u = c - 3, 5*c - c = 3*u - 2*u + u + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 2*a**2 + 2*a + 8. Let l(p) = -p**3 + 10*p**2 + 12*p - 11. Let h be l(11). Let j be d(h). Solve 62*g - 58*g = j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37681 divided by -88.\nAnswer: 37681\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38368501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 0.3, 225\/11 in decreasing order.\nAnswer: 225\/11, 16, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -14896.3466754.\nAnswer: -14894.3466754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412*q**2 - 199*q**2 - 7*q**3 + q - 2 + 1684*q**2.\nAnswer: -7*q**3 + 1897*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46135*f**2 - 147562*f.\nAnswer: -92270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 109252 times 387?\nAnswer: 42280524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 272*v - 807*v + 273*v - 29*v**2 + 258*v + 2*v**3 in the form h + g*v + r*v**3 + n*v**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -165396 + 824091\/5. Let d(c) = 146*c**2 + 4*c - 5. Let z be d(2). Let o = z + x. Is 9 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1411216, 2822443, 4233670, 5644897, 7056124?\nAnswer: 8467351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -184 in -0.2, 3, -73, -1.6, 1\/8?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5590 + 5670. Solve 0 = -11*o + 21*o - n for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssttssfssxssxfftsw. Give prob of picking 1 x and 1 f.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a meter in centimeters?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -3\/7, 0.1, -4, 10684?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**5\/60 - 2*c**2. Let m be 5\/(-2)*(3 + 293\/(-5)). Let z(h) = m - 139 - 16*h. Determine t(z(x)).\nAnswer: 256*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 8:42 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*3*1\/3*75\/(-250)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3267 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -9\/4450694, 1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r - 2. Let i be q(-3). Let n be -1 - (8 + 0) - -2. Let t = i + n. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0036534651 rounded to 5 decimal places?\nAnswer: -0.00365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*y + 4*y + y + y as d*y + l and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, q: 8, c: 3, u: 2, o: 4}. What is prob of picking 1 c and 3 o?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1279509848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 - 51*r + 32. Let b be g(-26). Suppose 0 = -d + 2, b*d = -i + d + 19. Factor 3\/2*n**2 + 27\/2 - i*n.\nAnswer: 3*(n - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -73, 3 in increasing order.\nAnswer: -73, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20395 + 20423. Solve 24*u - 5*d = i*u + 15, -2*d + 2 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4730620 divided by 1055\nAnswer: -4484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -911 - -902. Let b(j) = j**3 + 8*j**2 - 11*j + 4. Calculate b(l).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -159291 * -14.\nAnswer: 2230074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzqzqzbzqqz. Give prob of picking 1 q, 1 b, and 2 z.\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3 + 0*c + 143*c**2 + 6*c - 4*c. Is p(-1) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 3*q + 2*q)*(-3*q + 0*q + 2*q + (2 + q - 2)*(-5 - 3 + 6)) - 2*q**2 - 2*q**2 + 3*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**7\/105 - n**3\/2 - 3*n**2\/2 + n. Let r(b) be the first derivative of s(b). What is the derivative of r(j) wrt j?\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-12 + 10 + -10 - -8).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**2*o**2 + 2*m*o**3*r - 26*m*r - 2*o**3*r - 227*o**2*r + 2*o*r wrt m.\nAnswer: -4*m*o**2 + 2*o**3*r - 26*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -172 + 2653424?\nAnswer: 2653232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**3 - 2*h**3 - h**3)*(2*h - 2*h + 5 + 2*h).\nAnswer: 2*h**4 + 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 4*u - 6. Let s be z(-3). Does 3 divide 1\/s - 219\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times 2.46\nAnswer: 0.2214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6*u = 0. Solve u = -2*z + 3*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*r - 48 = 3*r, y - 31 = -5*r. Let p = -11 + y. What is the remainder when 10 is divided by p\/(3 - 2) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 20 = -4*h, -1 - 2 = s - 3*h. Let k(f) = 3*f - 3*f - 2*f**2 + 4. Let j(q) = -4*q**2 + 7. Determine s*j(i) - 5*k(i).\nAnswer: -2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*z + 41*z**3 + 13*z + 12*z**3 - 58*z**3 + 15*z.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - a + 2. Let x be n(-4). What is the derivative of -13*c - 104 + 92 + x*c + 18*c wrt c?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -21.3, -6\/71, 2\/9, 2 in ascending order.\nAnswer: -21.3, -6\/71, 2\/9, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from ommmommmmommmmomommm?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 80\/((-3)\/(-2 - -5)). Let p = f + 77. What is the smallest value in p, 0.3, -4\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1724 (base 9) to base 8.\nAnswer: 2446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + b876a2?\nAnswer: b8769c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from tyysyyyyxyyyy?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2))\/c*c**(16\/3)*c)\/(c**(2\/7))**(-33) assuming c is positive.\nAnswer: c**(289\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -j - f, -f = -3*j + 21 - 2. Solve 0*q - 29 = -j*z - q, 0 = -5*q + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1) - (-72)\/(-120))\/((-272)\/(-40)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*n**2 + 79*n**2 + 75*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 14*i**2 + 13*i + 14. What is the remainder when 53 is divided by z(-13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -5*t**4\/24 + 2*t**2 - 5*t. Let q(a) be the first derivative of o(a). Let m(h) = -h. Determine m(q(l)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9351, -15364, -21377?\nAnswer: -27390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204084 is divided by 5668.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97.879 + 98. Let z = -0.12742 + i. Let n = z - -0.004. What is n rounded to four dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 215*n**2 + 588*n**2 + 780*n**2 + 2*n**3 + n**3 + 316*n**2 to the form z*n + i + j*n**3 + p*n**2 and give p.\nAnswer: 1899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 9*s**2 - 6*s + 26. Let l be 11 - -2 - ((-3)\/3 + 3). Does 20 divide w(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3823, -15304, -34443, -61240?\nAnswer: -95695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + f. Suppose -149*w - 84*w + 23*w + 420 = 0. Let c(v) = 5*v**3 + 2*v**2 - 4*v + 2. Calculate w*k(g) + c(g).\nAnswer: 3*g**3 + 2*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -117365.6001675 + 117363.6. Let s = -2 - w. Round s to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 3*s + 2*s - 335, 4*t + 4*s - 340 = 0. Suppose 2*m = 7*m - t. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.14781082 + -4.99.\nAnswer: -4.84218918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 - 25*n**3.\nAnswer: -5*n**3*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2783777300?\nAnswer: 2, 5, 53, 525241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6 - (181 - 167).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16*11\/(-462)*7\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**5\/20 + 7*a**4\/12 + a**3\/2 - a**2\/2 + 7*a. Let v be k(-3). What is the highest common divisor of v and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjrg when four letters picked without replacement from jrjgrjrgrrrrgjjrjj?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + d = y - 42, -2*y + d = -70. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 323509.5 grams?\nAnswer: 323509500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from wafaanba?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-2))\/(-5) + (-14)\/(-28). Which is smaller: w or -1\/176?\nAnswer: -1\/176","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d + 57 - 21. Sort d, 2, -4.\nAnswer: -4, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5705481737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 7:26 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 86 - 181. Let r = z - -35. Let w = 76 + r. Solve 2*j + 10*f = 5*f - 4, -w = -4*j + 5*f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + j - 1. Let w(y) = -3*y**2 + 5*y - 7. What is 5*u(c) - w(c)?\nAnswer: -2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*h - 5*y, -5*h = -3*y + 8*y. Which is the nearest to 1\/2? (a) -0.5 (b) -5 (c) h (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -156 less than or equal to 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 345 - 343. Suppose 4*v + q*n - 1358 = 0, 12*v - 7*v = 2*n + 1711. What are the prime factors of v?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 23. Suppose -n + 2*n = 11. What is the remainder when n is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 4. Let j be q + -1 - -1*3. Is 51*j*(-3 - -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-47519)\/133 + 1 + (-15)\/21. Let h be 4\/42 - (-153)\/y. Let v = 3.06 + -0.06. What is the closest to 0 in 9, v, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/11)\/v**(-1)*v**4*v**(-3))**(-1\/15) assuming v is positive.\nAnswer: v**(-4\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(-10*(-10)\/(-200))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 271427 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 + f**3 + 5*f**2 + 1 - f - 2*f**3. What is the least common multiple of w(-5) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g + 13. What is s(-6)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23\/145 - 11413\/5220. Let f = -1549337\/1183098 - -1\/28169. Find the common denominator of f and x.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*o = 91*o + 56. Suppose o*l = 54*l + 19730. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -207\/2*l - 154*l**2 + 1\/2*l**5 - 26 - 24*l**4 - 101*l**3.\nAnswer: (l - 52)*(l + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 14\/89?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 503 and 30?\nAnswer: 15090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**2 + 4*i - 4. Let m be d(3). Let s = m + 96. Suppose -u + 3*a + 7 = -4, -s = -5*u + 2*a. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26538 - 16886 = -4*m. Let f = m + -152049\/14. Calculate the common denominator of 37\/12 and f.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 18 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -109*m - 18 - 18 + 75 - 21 - 13 in the form q + f*m and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q - 3*q + (-4 + 1 + 2)*(2 - q - 2))*(2 - 2 - q) + 3*q**2 - 77 + 255 - 66 + 0*q + 0*q + 4*q**2.\nAnswer: 8*q**2 + 112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -3 (c) 1 (d) 3\/2 (e) -40 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37, -51, -57, -55, -45, -27?\n\"Answer: 4*f**2 - 26*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19811554 to the nearest integer?\nAnswer: 4451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**2 + 3612*a + 14113*a - 31*a**2 + 20*a**2.\nAnswer: -a**2 + 17725*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5704?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 164817873 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -5*(-9)\/15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 711 divide 2974824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30828 = 205*b - 1796*b - 268*b + 45391 for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + 3*c**2 - 3*c**3 + 0*c**3)*(-4*c**2 - 4*c**2 + 6*c**2).\nAnswer: 4*c**5 - 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 8*j**2 + 2. Let f(x) = x**2 - 2*x. Let p be f(-2). Let u be g(p). Suppose 252 = u*w + 4*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120615 and 85?\nAnswer: 120615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -4.08. Let f = j - 0.42. What is f rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234076159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 459*c - 460*c + 4*m - 5, 2*c + 4*m - 14 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 2177519\nAnswer: -10887595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 11*v**2 + 13*v - 37. Give z(9).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by 3238071\nAnswer: 31\/3238071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 8056*p**2 + 3074044*p - 3082104.\nAnswer: 4*(p - 1)*(p + 513)*(p + 1502)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from doqqodoooqojoofndo. What is prob of sequence dfjn?\nAnswer: 1\/24480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(6\/15)*-2. Let m(u) = 4*u**3. Let t(i) = -4*i**3 + 5339494*i**2 - 42 + 42 - 5339494*i**2. Calculate l*m(z) - 4*t(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/5 and 3\/1918?\nAnswer: 9590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -38*h**2 - 2*h + 19. Let k be n(4). Let u = 602 + k. Solve -4*c + 20 = -u*o + 1, 4*o + c + 11 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 504*t + 3. Let x be n(1). Let i = -322 + x. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huh when three letters picked without replacement from huhhhuuuhhhhhhhhhuu?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 4*v - 3 - 4.\nAnswer: 4*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/6 (b) 8\/13 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*p - 188*p - 880*p - 138260 = 180*p for p.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 615*t - 4918. Let x be s(8). Let r(i) be the first derivative of -16 + 0*i**x - 23\/3*i**3 - 2*i. Differentiate r(d) with respect to d.\nAnswer: -46*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 108*t + 112.\nAnswer: -4*(t - 28)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4, 42, 80, 118?\n\"Answer: 38*v - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 4*m + 14, 3*t - 3 = 5*m - 2. Suppose t*p - p = 12. Let r = -8 + p. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvrkvrvlrk. What is prob of picking 2 r and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274 = 9*g + 55*g + 73*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*q - 177*q + 78*q + (3*q + 0*q - 4*q)*(-2 - 1 + 2) as g*q + t and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 83680 divided by -1046?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34\/9 - -32\/9. Let t = 13\/6 - 2. Which is the closest to -3? (a) m (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -35 + 25*r + 9 + 25 - 33*r. Let c(t) = 2*t**2 + 100*t. Determine c(v(x)).\nAnswer: 128*x**2 - 768*x - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -s, 5 = -0*d - d - 2*s. Find the second derivative of -7*v + 31*v - 8*v**4 - 7*v - d*v wrt v.\nAnswer: -96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3568 divided by -4?\nAnswer: -892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/5)*o*o*o**(-4)\/o)\/(o*o\/(o*(o*o*o\/o**6)\/o*o)*o*o**(-1\/7)) assuming o is positive.\nAnswer: o**(-247\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and -5.7?\nAnswer: -102.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -35*r**4 + 5*r**3 - 15*r**2 - 270*r. Let l(t) = -2*t**4 - t**3 + 3*t**2 + t. Let i(m) = 5*l(m) + y(m). What is the second derivative of i(n) wrt n?\nAnswer: -540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/((-3)\/4))\/2. Let h be ((-3)\/(-2) + -2)*j. Let s(g) = -g - 3. Let d be s(0). Put 5, h, d in decreasing order.\nAnswer: 5, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2139.881144 - -0.011144. Let z = -2127 - k. Round z to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9670363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(1\/(-2)*3). Suppose 3 = 3*s - 3. Let m be (s - (-2 - -2))*u. Let z(g) = g**3 - 5*g**2 + 5*g - 5. Determine z(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-98 - 119 - 55)*(6*u - 7*u - 8*u)*(-3*u + 1 - 1) in the form k*u + o + a*u**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.0062, 2\/3, -2, 19 in ascending order.\nAnswer: -2, -0.0062, 2\/3, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.7601 millilitres in litres?\nAnswer: 0.0487601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvveweg. What is prob of sequence pgew?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3000, 11977, 26944, 47901, 74848?\nAnswer: 107785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-2745922.9.\nAnswer: 137296.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 9:35 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 477 - 4?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*v = -15*v. Suppose -4*n = -26 + 6. Let o be (-8)\/((-5)\/(n\/2)). Solve -5*g - 16 - o = v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*(sqrt(1584) + sqrt(1584) + sqrt(1584)*-3 + 4))**2*-3.\nAnswer: -120252 + 7920*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26924 - 13148. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 296 or 291?\nAnswer: 296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14276 + -6343. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-14 - (-42)\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ulv when three letters picked without replacement from {u: 4, v: 2, x: 2, j: 8, l: 2, w: 1}?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 6*d - 24. Which is the closest to -2? (a) d (b) 4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 3\/5)*-5. Let q be 3999998*1 - 1*y. What is q rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -918581?\nAnswer: -4592905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*d = 5*d - 6008, 2*d + 8 = 0. Round t to the nearest one hundred.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*d - 13, -d + 2*w + 15 = w. Let a(c) = d - 2*c - 3*c + 10*c + 0*c. Let y(o) = 2*o + 4. Let f = -5 + 9. Give f*a(s) - 11*y(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 85332764 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -1 (b) 5\/2 (c) 4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1087281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 224\/23 <= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -4. What is the nearest to 0.2 in -1, d, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 185 - 942. Let f = 785 + k. Calculate the remainder when 154 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 3:03 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 3*n + 45. Suppose 0 = 5*w - n - 0. Suppose 0 = w*p - 11 - 64. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16082*d = -16104*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (19\/38 + (-61)\/(-2))*-28. Let f = 871 + q. Which is smaller: 11 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-31 + 22 + -2)) + (0 - 29).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/10587 at least 67.245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.4. What is the second smallest value in s, -4, 1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + b + b + 0)*(3*b**4 - 10*b**4 - 2*b**4 + (b**4 + b**4 + b**4)*(-1 + 0 + 2) + 47*b**2 - 47*b**2 - 8*b**4).\nAnswer: -28*b**5 - 14*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 409*h**3 + 77*h - 29*h - 26*h + 3 - 19*h to the form k*h**3 + w*h + l + r*h**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -228*n**3 - 6*n**2 + 2*n + 2. Let x(p) = 91655*p**3 + 2415*p**2 - 805*p - 805. Calculate -1610*u(q) - 4*x(q).\nAnswer: 460*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 354 and 11092?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000049271175 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -1405.93876?\nAnswer: 702.96938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 9*i**2 + i - 3. Let w be b(9). Let k = 163 + -262. Let t = 103 + k. Solve w + t = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**2 - 1186*g - 6*g**2 + 16*g**2 - 15*g**2 to l + o*g**2 + b*g and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 19. Suppose 8*v - 10*v = -8. Suppose 5*n = -v + q. Solve 0*p = p - n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942 at most 2295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1029 and 58093567.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20736 and 27211008.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 - 43.9. Let t = -4.01 + 0.01. Sort -3\/8, r, t in decreasing order.\nAnswer: r, -3\/8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 + 71. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 5. Suppose 3*p + 1 = 3*y - 161, -3*y + 5*p + 152 = k. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9544 is divided by 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + v + 1. Let a be 4\/(-14) + 27\/21 - 7. Let u be w(a). Determine o, given that 6*o + 32*o**2 + 24*o**2 - 3*o**3 + u*o**2 - 84*o**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, -5, 735, 2\/3, 0.5?\nAnswer: 735","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u. Let b(n) = -2*n - 24*n - 23*n - 27*n. Determine z(b(x)).\nAnswer: -304*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6545105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -740 - -1092. Let s = 36 + -4. Calculate the greatest common factor of s and r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/3802?\nAnswer: 3\/3802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-5))**(-16)\/(q\/q**(-2)*q)**(-4))**(-2\/25) assuming q is positive.\nAnswer: q**(-192\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 20297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*1\/(-18)*2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/4 (b) -5.8 (c) -2 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*t - 0*t + 4*b, 5*t = 2*b + 21. Let g(h) = h - 4. Give g(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 99*b - 1. Let t be r(4). Suppose 4*q - t = -q. Let f = -1187\/15 + q. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4441013032 - -33?\nAnswer: -4441012444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.4281 nanometers to kilometers.\nAnswer: 0.0000000000594281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90.69 + 91.19. Which is the third biggest value? (a) 5 (b) 1\/8 (c) -179 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2 = -v, 0 = -3*u - 5*v + 175. Let a be 25\/(-7)*17556\/(-3135). What is the highest common divisor of a and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55855042 is divided by 406.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 16*h**2 + 17*h - 4. What is the units digit of o(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 32*o**3\/3 - o + 206. Let a(d) = 42*d**2. Calculate a(f(h)).\nAnswer: 43008*h**4 - 2688*h**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + -29. Solve 12 = -3*b - 5*t, -i = b - 3*t + 2*t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -13*v**3 + 782*v**2 - 842*v + 43332. What is o(60)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 9. Let x(g) = -22*g + 3. Let n(m) = 3*m. Let i(b) = -21*n(b) - 3*x(b). Let o(y) = 3*i(y) - 4*p(y). Is 3 a factor of o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2032.849*4.\nAnswer: -8131.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 19*t - 15. Let p be j(18). Which is smaller: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*s, 2230 = -3*i + 2*s + 186. Let l be i\/(-2079) - (-4)\/(-18). Let x = l - -3\/77. Which is the nearest to -1? (a) -2\/13 (b) x (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2884621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 40 - 18 - 16 + (-6 + 3 + 4)*(y - 2*y + 0*y).\nAnswer: -3*y + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 - (10 - 16))*-74. What is the highest common factor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13435 + -13438. Which is the third biggest value? (a) -1194 (b) 0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (118\/(-4)*6)\/(-1). Let l = a - 102. Does 19 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 2, -75155 in decreasing order.\nAnswer: 2, -2, -6, -75155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7291074883 - -10?\nAnswer: -7291074873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 245*f - f**2 - 69*f - 72*f + 92*f**3 + 7 - 71*f - 66*f wrt f.\nAnswer: 552*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 1974*b**2. Let u(k) = 63354*k. Calculate u(x(a)).\nAnswer: 125060796*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -253.6 and -34.\nAnswer: 8622.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3649.0799 + -3649. Round x to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2804 and 1467193.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 6*k**2 - 7*k + 3. Suppose -3*v + 0*v = -18. Suppose -3*s = -v*s + 21. Let y be m(s). Solve y*i + 2*i = -15, 3*i + 18 = -3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0011, 35, 2\/5 in increasing order.\nAnswer: 0.0011, 2\/5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/56*833\/238*96\/(-351)?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 86*q**2 + 11*q + 5. Let l(g) = 2*g. Calculate l(x(m)).\nAnswer: 172*m**2 + 22*m + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6502291.53209316 - 6502291. Let x = 1.03209333 - k. Let b = x + -0.5. What is b rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 4 = 284. Solve -4*h + y + 21 = 0, -2*h + x = h + 3*y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21278347991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 59435.59 days in milliseconds?\nAnswer: 5135234976000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6744 and -32.\nAnswer: 215808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 510 and 2924.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (420\/(-504))\/((-3)\/(-27))*(-80)\/3. What is the greatest common divisor of 25 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 45*j**3 - 5*j**2 - 12*j - 36. Let q be s(17). Round q to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-4))\/(((-2)\/4)\/((-3)\/20)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4747, 8, -21 in ascending order.\nAnswer: -21, 8, 4747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39894238609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1688447, -1688446, -1688445, -1688444, -1688443?\n\"Answer: o - 1688448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*b = 5428 + 5092 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3. Let l(d) = d - 4. Calculate 4*l(a) - 5*x(a).\nAnswer: 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4987 and -0.2.\nAnswer: -0.09974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k + 4*k - 17 - 12 + 5*k.\nAnswer: 16*k - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 12) to base 6\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 806*o - 803*o - 25, -3*o = -9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-40) + 56\/(-10). Let t(u) = u + 5. Let p be t(k). Solve 4*f = 4*w - 32, 5*w + 0*f - f - 28 = p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -1\/4, -3, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649018 is divided by 649012?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1156622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14522 + 28020. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-10)*(-1)\/(-7)*2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 334.7 - 334.7035255. What is x rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/13)\/h)**(-48)*(h**(-24))**(-1\/14) assuming h is positive.\nAnswer: h**(3852\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 + 8*h + 8. Calculate the remainder when a(-5) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a century in decades?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 e when two letters picked without replacement from {o: 2, a: 4, e: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, -26, -152?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 23. Suppose 2*b - f = 3*d - 7, -5*d - 20 = -b. Which is smaller: -5 or d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 - 285*m**3 + 5661*m**2 + 54621*m.\nAnswer: 3*m*(m - 51)**2*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84 + 79. Let b be 3 - 1 - (-15)\/(-9). What is the biggest value in 0, w, 12, b?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1426 - 1450 - (39 - 0)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*u, 2*u - 2 + 16 = 4*h. Let b = 2 - h. Suppose b = -3*k - k + 20. Put -5, k, -3 in ascending order.\nAnswer: -5, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-511)\/(-2)*(-3 + 5\/1). Let c = s - 239. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -f - 26, -17*o + 5*f + 25 = -13*o. Solve o*n + 179 - 161 = -g, -2*g + 8 = -n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-11\/5))**(-41))**1)**(12\/11) assuming u is positive.\nAnswer: u**(492\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -712*v + 243. Is f(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.506941601 rounded to 4 dps?\nAnswer: -0.5069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s + 79. Calculate h(18).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - -5 - 73 - (-90 + -1).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -21. Let m be 3\/6 + 52\/k. Let g(a) = 7*a + 10. Let h(i) = 4*i + 5. Let l(v) = -3*g(v) + 5*h(v). What is l(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 60, 102, 162, 246?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 6 = 13*s. Let q be -7 + 3 + (s - -13). Solve -4*p + 8 = -b - q, -4*b = -p + 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*i = -9 + 1, -5*j + 2*i = -8. Suppose o - 3*q = 13, -13 = -4*o - q - j*q. Suppose -6 - 2 = -o*d. Is d != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 2*f + 2, -11 = -f + 167*u - 169*u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 3:37 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 5*y - 2. Let l be s(4). Let t(j) = 4*j**2 - 2*j - 1. List the prime factors of t(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 15, -10*y - 1180 = -5*y + 5*k. Let m = 238 + y. Let d(f) = -f - 1. Let g(s) = -5*s - 6. Determine m*g(c) + 6*d(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 1\/30*n**5 + 0*n**2 + 1\/45*n**6 + 0 - 1\/9*n**3 - 1\/18*n**4 - 2*n. Factor u(d).\nAnswer: 2*d*(d - 1)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -7 + 10 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7518.\nAnswer: 2, 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2))**20\/((y**(-2\/11)*y)\/y**(-6\/5)))\/((y**(1\/4))**(-2))**44 assuming y is positive.\nAnswer: y**(-1101\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2255409090 to the power of 1\/2, to the nearest integer?\nAnswer: 47491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2734676.8 rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 0*f = 27 - 39. Let g(w) = w**2 - 8*w - 2. Let x(c) = c + 1. What is f*x(o) + g(o)?\nAnswer: o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v + 356*v + 47*v.\nAnswer: 420*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8454780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-32)\/(-6) + 6\/(-18). Suppose -4*x = -2*c - 1 + 21, b*c - 17 = -x. Solve 6*u - 5*u = c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -7*t**2 - 4*t - 2. Let h be -5 - (-23)\/5 - (-8)\/(-5). Give l(h).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -261, -2164, -7331, -17394, -33985?\n\"Answer: -272*l**3 + l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1078 by 49.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/110127940 and 13\/40?\nAnswer: 220255880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 385 - 382. Let m(j) be the second derivative of 7\/12*j**4 + 0*j**5 + 0 + 0*j**b - 7*j + 1\/30*j**6 + 0*j**2. What is the third derivative of m(c) wrt c?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7208 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29920\/340 - (-133104)\/(-1512)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/(k*k\/k**(-2\/11)))\/k))\/(k*k*(k**(-6)*k)\/k))\/(k*k\/k**(-1\/2)*k*k)**(3\/13) assuming k is positive.\nAnswer: k**(1757\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 24365556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2809030?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 41*i + 128. Let x(g) = 31*g + 94. Let f(n) = -8*r(n) + 11*x(n). Determine f(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 plus 0.09?\nAnswer: -32.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 + 17*v - 1. Suppose -j - 15 + 6 = 0. Let q be f(j). Let k = -11 - -19. Is k bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - 3043*d - 175044. Give o(1577).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439613?\nAnswer: 439613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13280.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22741517?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 1. Suppose -5*b + z - 1 = -19, -5*b = 5*z. Suppose -2*j - 7 + 46 = -3*d, -b*j + 4*d + 57 = 0. Solve 4*q + f*l = -12, -q - 4*q = -l - j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/72*(-21)\/14)\/((-1)\/328)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yoqyoyyooiov. Give prob of sequence oo.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -739*r - 42 = -732*r. Let s be -4*(-3)\/(-18)*2*r. What is the greatest common divisor of s and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33763.\nAnswer: 19, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 11*f**3 - 74*f**2 - 5*f - 18. Determine m(6).\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 231 = -2*o, 3*o = -4*q + 100 - 447. Let v = o + 200. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 159163410?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 + 88*u - 13790. What is b(-109)?\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 29. Suppose -4*r - p = -152. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (98\/105)\/14*168*(-10)\/4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27745*f + 0 + 0.\nAnswer: -27745*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.67, -0.38, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3184 + -3184.5. What is the biggest value in 2\/11, 0.0557, l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -l + 2*l. Let o = 80 - 47. What is the greatest common factor of l and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - f - 15*f**2 + 4*f.\nAnswer: -15*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 3*q + 19 = -5*q + 101, -2*q = 2*l - 74 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(55)\/sqrt(5)))\/(sqrt(18)\/(sqrt(18)\/sqrt(3))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4000987.3213 + -890.6787. Let l = m + 4001883.400041. Let r = l - 5.4. Round r to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*n - 899, 6*a - 927 = -5*n + 3*a. Calculate the remainder when 383 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5456.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405560?\nAnswer: 2, 5, 10139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/6 - 7\/(-3). Find the second derivative of 4*a**g - a**2 - 6*a**3 + 4*a + a**2 wrt a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -6, 23.\nAnswer: -6, -1, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9, -5, -41, -87, -131, -161, -165?\n\"Answer: 2*w**3 - 23*w**2 + 41*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-4*sqrt(112) + (sqrt(42)*-2)\/sqrt(6))**2 + (2*2*(sqrt(7) + sqrt(112)))**2).\nAnswer: -20272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106 - 104. What is the smallest value in g, 0.3, 1\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1278*g**2 + 2*g - 100 - 2*g**4 + 4*g**3 + 123 - 1276*g**2 to the form o*g**4 + s*g**2 + a*g + n*g**3 + h and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1874*o = -1959*o + 1785 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -115*b + 158. Give w(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 6*y - 3*y)*(y**2 - 2*y**2 + 9*y**2).\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llcl when four letters picked without replacement from lcllllllllllllllll.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 43\/3. What is the second biggest value in r, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3269288, -6538488, -9807688, -13076888, -16346088?\nAnswer: -19615288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + ((-6)\/18)\/(2\/(-18)). Suppose -6*t - a = -2*t + 2*p, -10 = 5*t + 5*p. Solve -3*x + 2*h - 13 = 0, t = x + 4*x - 4*h + 25 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -66\/356965 and 143\/30380.\nAnswer: 1427860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhuu when four letters picked without replacement from {p: 2, u: 11, h: 7}?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 136095484 to the power of 1\/3, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 567063 (base 12) to base 11\nAnswer: 863415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011708579 to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0*a + 3*a)*(-3 + 1 + 17) + (-590 - 342*a + 590)*(2 + 1 + 0).\nAnswer: -996*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121208908 by -4.\nAnswer: 30302227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 745?\nAnswer: -746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011489 rounded to 5 dps?\nAnswer: -0.00115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 43*x**2 - 478*x + 2105. What is t(29)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-297)\/75)\/((-4)\/((-2640)\/(-18))). Let l be (1624\/(-15))\/(-8) + (-2)\/6. Factor -2662\/5 + r*x + 2\/5*x**3 - l*x**2.\nAnswer: 2*(x - 11)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**2\/5 - 9374*u\/5 + 4688\/5 = 0 for u.\nAnswer: -2344, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 0 (b) 3\/4 (c) 14 (d) -1\/5 (e) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((234\/168)\/((-11180)\/(-1505)))\/((-6)\/40)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 3:10 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - -2 - 1*(10 + -3). Which is greater: w or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 7*w**3\/3 - 15*w**2\/2 - 31*w. Let r(k) = 5*k - 5. Let x(f) = -8*r(f) + 3*t(f). What is x(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-318))\/(3003\/1001)?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(8\/7)*w*w)\/w)**(6\/23) assuming w is positive.\nAnswer: w**(90\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*((-14940)\/(-80))\/83?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -19858 + 73361. Suppose -3*c + 24497 = -k. What is c rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 19. Let b(p) = 39*p**2 - 5*p - 3*p - 38*p**2 + 4 - 5*p + 6*p. Let d be b(r). Calculate the highest common factor of d and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*v + 23. Suppose p = -3*p + 180. What is the remainder when p is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59620 and 671.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138 and 92?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n - 3 = -16*n - 5*u, -3 = 3*u. Solve j - p = -2*p - 5, -n*j = -p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 253?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -281, -282, -283, -284, -285?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**2\/f)\/f**5)\/((f\/f**(-5))\/(f**(-5\/3)*f)))**(3\/35) assuming f is positive.\nAnswer: f**(-32\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 216879 rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*k + 4 = -19, -5*c = 5*k + 5. Let z(h) = c*h**2 + 5*h**2 - 2*h**2 + 2*h - 6*h**2. What is the remainder when 44 is divided by z(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2795 and 533.\nAnswer: 114595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0 - 1 + 1 - 2 + (-1 + 0 + 0)*(2 - 5 + 5))*(-3 - 2 + 2)*(-2 - 1 + 6)*(-3*v + 10*v + v).\nAnswer: 360*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -a - 2*a. Suppose -5*i = 25, -h - a = -i - 244. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7756 divided by -275?\nAnswer: -7756\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 6*b**2 + 7*b + 1. Determine g(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 - 2220?\nAnswer: -10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 165, 172, 197, 246, 325, 440?\n\"Answer: t**3 + 3*t**2 - 9*t + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, -28, -59, -100?\n\"Answer: -5*p**2 - 6*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 4512?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.37 - 0.03. Suppose -3*q + 18 = -4*x, q + 0*x + 5 = 5*x. Let t = 10 - q. Sort h, t, -4.\nAnswer: -4, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -999*l**3*s**3 - l**3*s**2 - 49*l**3*s - 4*l*s + 2*s**4 wrt s?\nAnswer: -5994*l**3 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 162 + -163. Sort -3, 1, f, 5 in increasing order.\nAnswer: -3, f, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.4 (c) 1\/8 (d) -5.71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 10*x + 27. Give r(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**2 - 75*y**6 + 36*y**6 + 45*y**6 + 133*y**6 + 16 wrt y.\nAnswer: 16680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1337675ml to litres.\nAnswer: 0.0001337675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**7\/210 - 29*m**6\/24 - 1823*m**5\/20 - 15407*m**4\/24 - 5041*m**3\/3 - 695*m**2. Factor y(c).\nAnswer: -(c + 1)*(c + 2)*(c + 71)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -12, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 - 5 + 5. Let o(y) = y - 1. Let r be o(1). Let p(f) = r*f - 4*f - f + 2*f. Give a(p(g)).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/162 - 3244\/18. Let r = h + 350. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -9\/4250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 18\/31, -0.1, -2, -0.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + -0.7. Let h = 1 + q. Let s = 0.033 - 0.233. Do h and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4831158 and 14826?\nAnswer: 2118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -199*y**2. Let b(i) = -23771*i - 2. What is b(p(u))?\nAnswer: 4730429*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*j = -28, 5*i - 10*j + 7*j = 26. Suppose 125*g = 121*g + 5*a + 785, -3*g = -i*a - 589. Calculate the greatest common factor of g and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.013 - 0.413. What is the nearest to -1\/3 in 2, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 502767 (base 8) to base 6\nAnswer: 3313331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3822379 to the nearest 100000.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((-2 + 5 - -5) + (-4 - 2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4428\/52 + 4\/(-26). What is the greatest common divisor of g and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1755510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 + -23 + (-242)\/(-4))*(-6)\/(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**5 - 327577*z**4 - 266719*z**2?\nAnswer: 60*z**2 - 7861848*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135557137, -135557139, -135557141, -135557143?\nAnswer: -135557145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.10750354 - -0.052.\nAnswer: -0.05550354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/7 - 1116*a**2\/7 - 2235*a\/7 - 1118\/7.\nAnswer: (a - 1118)*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**3 + 20*b**2 + 27*b + 102. Let f be w(-9). Solve 4*d + 2*t + f = -t, -5*t - 30 = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14404\/10 - 9\/45*-3. Let r(z) = 2*z**3 + 2*z**2 - 3*z. What is the least common multiple of a\/143 - (-4)\/(-52) and r(2)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 146.3 - 54.3. What is the biggest value in z, -1, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/9 and 107\/44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t - 19. Let f(v) = 23*v. Determine f(o(g)).\nAnswer: -69*g - 437","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 30*r**2. Let i(v) = -31*v**2. Determine -4*i(g) - 3*l(g).\nAnswer: 34*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 16*k**2. Let g(f) = -16*f**2. Determine u(g(a)).\nAnswer: 4096*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*((-3)\/(-2) + -4). Suppose w*i - s - 18 = -3*s, -2*i + 4*s = -12. Put 6, i, 1 in increasing order.\nAnswer: 1, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1068 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3697 + -29483\/8. Calculate the common denominator of p and -55\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12921987 and 8658?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(-3*g + 5*g - 3*g) + 264*g - 234*g - 375*g.\nAnswer: -346*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:03 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 200100201 (base 3) in base 6?\nAnswer: 141544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 13 = 4*d + 15, 38 = 4*n + 2*d. What is the first derivative of 2*x**3 - 4 - 4 - n*x**3 wrt x?\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 3, m: 3, q: 6, p: 5}. What is prob of sequence tq?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 7:29 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*l - 2 = 4*i, 0 = -i - l - 1. Suppose -4*h = -5*z + i*z + 807, -3*h = z - 256. Suppose 4*g - 1017 = -z. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3624 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -93, -8, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.498 + 0.498. What is the closest to -0.1 in -0.3, -1, x, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3 = -l, -5*k - 5*l + 8*l = 7. Which is the third smallest value? (a) 8 (b) k (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 - 12 = 0. Let c = 56 - f. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, -5, -1, -0.5, 0.06, 4810?\nAnswer: 4810","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2985\/5373)\/((-5)\/(-12)). Factor u - 4\/3*g**3 + 4*g**2 - 4*g.\nAnswer: -4*(g - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2 - 2 - 1)*(-4 - 7 + 3).\nAnswer: -8*n + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 4 - 4\/(-1). Suppose p = -t - 0. Let l be (-520)\/(-90) - t\/18. Solve l = 2*f - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -159, -334, -671, -1224?\nAnswer: -2047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -195 + 413\/2. Calculate the common denominator of l and (-7)\/(-28) - (-3)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 2*h + 1. Let z be m(-2). Let g = -46532 - -326405\/7. Let d = -97 + g. Which is the nearest to z? (a) 3 (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 - 5*z + 8. Let d be b(3). Let c be (50\/d)\/(1\/2). Solve c*i - 12 = 3*w, i = 5*w - 4*i + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 384282?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -409, -1040, -2029, -3376, -5081?\nAnswer: -7144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -4*z + 2*n + 33, 4*n + 105 = 5*z. Calculate the remainder when 333 is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 2. Let v(w) = 3*w**2 + 3*w - 8. Give 5*v(n) + 20*z(n).\nAnswer: 15*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by -11\nAnswer: -61\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 80*z**5 - 3095*z**4 + 29355*z**3 - 70295*z**2 + 64505*z - 20550 = 0. What is z?\nAnswer: 1, 10, 411\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 38*z - 136. Let l be i(19). Is ((-1292)\/152)\/((-1)\/l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c - 2*c)*((754 + 676 - 344)*(2 + 1 - 2) - 3 - 4 + 6).\nAnswer: 1085*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00086867276 rounded to 7 dps?\nAnswer: -0.0008687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 3. Let b(t) be the second derivative of -t**3\/2 - 7*t**2\/2 + 3*t. What is 2*b(r) + 5*m(r)?\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (6 + -19 + (9 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 804, 77, -1138, -2841?\n\"Answer: -244*z**2 + 5*z + 1043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*s**2 + 19*s**2 - 48*s**2 + 2 + (-3 - s + 3)*(-2 + 0 + 0)*(2*s + 2*s + s).\nAnswer: s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4463643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 + -145. Let t be (-2)\/(-5) + y\/(-20). Let -2*j**3 + 9*j**2 + 0*j**t + j**3 - 6*j - 2*j**3 = 0. What is j?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000336346 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.251679 decades to years.\nAnswer: 92.51679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -9 + 1 + -1 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -683 divided by 9.\nAnswer: -683\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, l: 5}. What is prob of sequence ltt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007313 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 12:58 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4017 - -24369. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, e: 9}. What is prob of picking 1 e and 2 b?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9085900206 and 0.\nAnswer: -9085900206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-108))\/(2\/(-4))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 2*27\/(-126) + (-339)\/(-7).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/(l**(-17)\/l)*l))\/l*l\/(l\/l**(-9)) assuming l is positive.\nAnswer: l**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-184)\/32 + 5 + (-195)\/(-4). Let v = o + -47. Let g(k) = 16*k. Give g(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9637 + 9636. Let g = 3 + -7. Sort g, b, -2 in decreasing order.\nAnswer: b, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -3\/17 (b) 4\/5 (c) -0.05 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (73\/(-1679))\/((-5)\/20*2*1)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 1 = 3*m - 3, -5*m = 3*i - 14. Let x be i\/6 - (-1)\/3. Suppose 3*k + 4 - 19 = x. What is the remainder when k is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 y, and 1 e when three letters picked without replacement from yyyyeyyvy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94739 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) - (sqrt(64) + sqrt(64)*3))\/(-6*sqrt(6)\/sqrt(3)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**6\/120 - c**5\/10 + 4*c**3\/3 + 2*c**2. Let h(z) = 3*z**3 + 17*z**2 - 23. Calculate -6*h(x) - 17*v(x).\nAnswer: -x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49767405 and 150?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8772 - 7356 = 0. Suppose 0 = -10*x + 188598 + o. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x + 3*k = -18, -18 = -3*x + 2*k. Suppose 0 = -f - f + s, -2*f + x = 2*s. Which is the nearest to -0.1? (a) 0 (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 9:47 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 10, s: 9}. Give prob of sequence syss.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from {g: 7, h: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37189 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*l - 31 = -4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 a factor of 3505844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**3 - 285*t**2 - 1700*t - 3. Calculate c(-6).\nAnswer: 801","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0358 and -130.\nAnswer: 4.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.375? (a) 5 (b) 2\/13 (c) -712\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**3 + 46*w**2 + 8*w - 1. What is b(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 3)\/((-6)\/(-10)). What is the second derivative of -26*v + 36*v + 68*v**y + 42*v + 77*v wrt v?\nAnswer: 1360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*z + 6 = -26, 4*z = -4. Let n = 2\/1087 + 77171\/3261. What is the common denominator of (2\/x)\/(-1 + (-220)\/(-228)) and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2914239524 to the nearest integer?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -325 + 330 - (-15 + -24)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1. Suppose -q - 8 + 3 = 0. Let y be (-8)\/(-16) - 2\/4. Which is the closest to y? (a) 2 (b) n (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -233, -434, -635, -836, -1037?\n\"Answer: -201*b - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 5 = -5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 16 = 3*b. Let u(p) = 10*p - 5. Let r be u(b). Suppose -1 = -4*q + r. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4\/17, -21, -2, 4, 2.6?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*(-10)\/45)\/((-28)\/12)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7014 - 0.7. What is q rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 195490 and 350.\nAnswer: 6842150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12047739 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47311 + 68371. What are the prime factors of g?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.39\nAnswer: -0.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -116*l + 193. Let p be o(-7). Let z = -357 + p. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2349 and 810?\nAnswer: 23490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 302281264 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 995109 at least 995109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i + 93039 = 8679. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 2\/13 (b) 0.4 (c) -1\/6 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 164, 184, 224, 290, 388, 524?\nAnswer: 704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2218 + 0.22. Round m to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 508740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 62*o - 128. List the prime factors of t(38).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-5*(74\/40 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/4 - (-3)\/12. Let f = w + 3. Let g = 4 + -3. Solve v + g = -f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 71*o**3 + 6*o**2 - o - 16. Let k be s(4). Suppose -13*b = -23*b + k. List the prime factors of b.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15253*m*s**3*v**3 + m*s**3 + 56*m*s*v**3 + m*s*v**2 - 5*m*s*v + 6022*m*s - 3*s**3*v**2 wrt v.\nAnswer: 91518*m*s**3 + 336*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((54\/(-20))\/1)\/(56\/35) and -95\/58.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2900 is divided by 117?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from leelfle.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24 + -167b616?\nAnswer: -167b63a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -2*q**7\/315 - q**6\/15 - 4*q**5\/45 + q**4\/3 + 10*q**3\/9 + 824*q**2. Suppose n(o) = 0. Calculate o.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 9. Let t = -3.9 - y. Let a = -3 + 2.8. What is the nearest to a in -4, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1239*i**2*l**3*u**2 - 2*i**2*l*u + 1125*i**2*u**2 + 10*i**2 - 14*i*l**3 - 122*i*u wrt u.\nAnswer: 2478*i**2*l**3 + 2250*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-146 - -108) + 17 + -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w - 33*w + 18*w + 16*w.\nAnswer: 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 759 and 102971?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(180) + -4 + (-5*1*sqrt(180) - sqrt(180)) + (sqrt(180) + 0)*5 + 5)**2 + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.5, -29.9, -2, -5, 0.038?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = -j + x + 21, -4*x + 14 = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.5 (b) -6 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 828*g**2 - 48*g. Is 66 a factor of h(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121300 is divided by 152.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 15. Suppose l*u + 12 = 11*u. Suppose -4 = -k - p, 4*k - u - 4 = -2*p. Is k not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -523 (b) 38 (c) -2 (d) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2\/k)\/(k*k**5))**(3\/11)*(k**(-3\/8)*k*k**5\/k)\/(k**(1\/4))**(-23) assuming k is positive.\nAnswer: k**(793\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6135*f - 74 + 5 - 6135*f - 1 + 3154*f**2 with respect to f.\nAnswer: 6308*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28417229?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1262 - 1233. Suppose k = -3*k - i + 292, 4*i = 4*k - 272. What is the second derivative of -2 - w*x**3 - 73*x + 2 + k*x wrt x?\nAnswer: -174*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 154. Let g(n) = -38*n - 1236. Determine -5*g(b) - 40*v(b).\nAnswer: 150*b + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 40, 128, 292, 556, 944?\nAnswer: 1480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2562801 to the nearest integer?\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2682.55582946 less than 0?\nAnswer: -2682.55582946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*b**4 + 6*b**4 - b**2 + 5 + 42 wrt b.\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12000 (base 4) to base 2\nAnswer: 110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99 - 90.32. Let p = 7.5 - x. Let j = p - -1.1485. Round j to 3 dps.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*i - 95. Suppose -4*l - 4*b + 152 = 0, -i = -4*b - 6. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30.851243 and 3.\nAnswer: -92.553729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + m**4 + 2 - 88*m**4 - 85*m**4 + 174*m**4 - m**2 + m**2 - 3*m**4 + (2*m + m**3 - 2*m)*(-3*m - 2*m + 4*m) + 0*m**4 - 2*m**4 + 0*m**4.\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -19*i - 19. Let c be (-1)\/(-3)*-23 - 22\/(-33). Let m be d(c). Suppose 67*k - m = 65*k. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 - 13*x - 4. Let j be v(-4). Suppose -5*k + 32 + 23 = -2*c, -5*k + c + 55 = j. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**4\/4 + 4*a**3\/3 - a**2 - a + 4. Let r be z(3). What is the second derivative of -7*w**2 + 6*w**r + 1 - 1 - 6*w wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 774 + -773.6. Which is the nearest to 0.2? (a) m (b) 2\/15 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, f: 2, o: 1, k: 3, g: 1}. Give prob of picking 1 g, 1 f, and 1 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -761667 bigger than -761611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 0*l = 156. Let t be (3\/2)\/(l\/(-52)). Let m(k) = -k**2 + k + 3. What is m(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 3, -17 = -2*h + 5*g - 6. Suppose -v - 5*r + 6 + 6 = 0, h*v - 19 = 2*r. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/6)\/(-3*8\/10008). What is the tens digit of 0 + (6 - 13 - d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 5. Give a(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypyp when four letters picked without replacement from {p: 5, y: 9}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/9, 1\/106, -207 in decreasing order.\nAnswer: 2\/9, 1\/106, -1, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15817, -30906, -45997, -61090?\nAnswer: -76185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*h - 369, -5*r + 3*h + 615 = h. Let m = -79 + r. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 422 divide 102019102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -200341201?\nAnswer: 200341201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -903 divided by -11?\nAnswer: 903\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -840 + 846. Suppose -k*p - 21 + 27 = 0. Let q(x) = -20*x**2 - x + 1. Calculate q(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 2*k, 0 = -2*h - 5*k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-28)\/(-126)*2\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35252, 70555, 105858, 141161, 176464?\nAnswer: 211767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-15) - (-26)\/(-130)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -15*v**2 + 6*v. Let m(i) = -i. Let a(q) = -5*m(q) + u(q). Find the second derivative of a(z) wrt z.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 23*j**2 - 2*j - 46. Let x be o(-23). Suppose 5*n - 2*n - 171 = x. Let z = n + -54. Solve 4*h = -5*g + 9, 0 = -h - 5*g + 9 - z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 1. Let i = -38 - -46. Let o = i + f. Which is the third smallest value? (a) 5 (b) o (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 1.758\nAnswer: 0.5274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 13*x**3 + x**2 - x + 1. Let j be a(-2). Let g = 10 - j. Is 25 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + 2. Suppose 6*f - 151 = 71. What is the remainder when f is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 9418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*l - 7 + 20, -5*t = -5*l + 25. Let n be -1*(-1 + (0 + t)*-6). Sort 4, -3, 3, n in descending order.\nAnswer: 4, 3, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - (-1 + -109) - -2. Let p = 84 - y. Which is bigger: p or -34?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153968219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 43190935.694289 plus 0.5?\nAnswer: 43190936.194289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + -5. Let o = -6 - a. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**5 - 10*v**4 - 27*v**3 - 2*v**2 + 40*v = 0. What is v?\nAnswer: -5, -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111 - -111111010011101001?\nAnswer: 111111010100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2314\/267*(99\/18 - 1).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*sqrt(288)*-3*-6.\nAnswer: -864*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 66*y + 16. Let i(w) = -2*w. What is i(t(c))?\nAnswer: -132*c - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4512478124?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 34. What is the remainder when t is divided by -2 - 1\/(3\/(-48))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = x + 5*d, 0 = -3*x - 5*d - 98 + 83 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -104, 3, -2, -5, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13a8 (base 12) to base 7\nAnswer: -6446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a factor of 430232264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 14*d - 11. Let m be j(15). Let q(p) be the first derivative of p**4 + 2*p**3\/3 + 9*p**2\/2 - 5*p - 17. Is q(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 93275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 613643, 613539, 613431, 613319?\nAnswer: 613203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 9:20 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 260188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 378666738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3012 and 876?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-24779)\/71)\/((-1)\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - 10*a - 8. Let m(r) = r**2 + 5*r + 4. Let i(z) = 6*g(z) + 13*m(z). Let v be i(-6). Solve 4*n - 1 = -s - 8, v = -5*n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/14 and 33\/52868.\nAnswer: 370076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from ltttlaaletllgegltgal?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*u = 69*u - 6030. Solve -41 = 2*f - u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3 - 0.2899998.\nAnswer: -1.5899998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 6:42 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9035\/2085*(-30)\/55.\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 2:02 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*p + 3*n - 29 = 0, p = -4*n + 7. Let q be (0 - -3) + p - 1*3. What is the nearest to 0.2 in q, -1\/4, 15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0129 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -617*f - 3085. Let r be s(-5). Solve 0 = -r*b + 5*b - 3*w - 20, -b = 5*w + 24 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(2\/7))**(-6)*j\/j**(-1\/2)*j**4 assuming j is positive.\nAnswer: j**(17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-2))\/(((-8901)\/(-86))\/207)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - 93 + 93)*(2*g**3 + 0*g**3 + 0*g**3) - 3*g**4 - g + g - 14*g**4 - g**2 - 9*g**4 - 2*g - 2*g**2.\nAnswer: -14*g**4 - 3*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 549 and 12261?\nAnswer: 36783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**3\/7 - 18*q**2\/7 - 4*q = 0.\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5\/3*q**3 - 55\/3*q - 10 - 10*q**2 = 0?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 938769 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 29, 92, 215, 428, 761, 1244, 1907?\n\"Answer: 5*p**3 + 28*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -44 + 8. Suppose 40 = 3*i - l, 4*i - 82 = 4*l - b. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 - 93. Let b = 88 + -61. Calculate the highest common factor of b and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1131294?\nAnswer: 2, 3, 409, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.412 and 4.\nAnswer: -1.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570900 is divided by 697?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.233 + 0.267. Let c = -68 + 61. Put c, -5, a in descending order.\nAnswer: a, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 100.4 and 1060.\nAnswer: 1160.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -350.6 to the nearest 10.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6921 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12079*z**3 + z - 343.\nAnswer: 72474*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -30, 4\/17, 41, -1\/15, -0.14, -2\/9?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25249 and 217.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5080849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, 3, -3, 208 in decreasing order.\nAnswer: 208, 3, -3, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25774 less than 25776?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 - 34*q**3 + 5 - q - 38*q**3 + 73*q**3 as i*q**3 + h*q**2 + t + s*q and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 218\/665 - 4\/95. Let l = -7 - -12. Let b = -0.04 - -3.04. What is the closest to g in 0.2, l, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 28 = j. Suppose 4*y + 279 = j*y. What is the greatest common divisor of y and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -136.7 - -137. Is l less than or equal to 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/6 - 23*s**3\/6 + 16*s**2\/3 + 30*s - 48.\nAnswer: -(s - 2)**2*(s + 3)*(s + 24)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 680\/(-32)*8\/2. Let s = m + 126. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -10*p - 18. Let n(t) = -29*t - 52. Let y(x) = -17*f(x) + 6*n(x). Suppose -5*d + d = 24. Give y(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 5*h**4\/12 + 7*h**3\/6 + 12*h**2 + 36*h. Let k be u(-12). Suppose -5*w = -10*w + k. Is w a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 13 + 27 = 0, 3*q = -f + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -990, -20, 1 in ascending order.\nAnswer: -990, -20, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 4*v**2 + 3*v - 5. Let l(o) be the first derivative of o**3 + o**2 - 4*o + 104. Calculate 3*l(b) - 2*m(b).\nAnswer: 2*b**3 + b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + (11 - (67 - 50))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 513 and 285?\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5134466 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1652 - -1?\nAnswer: -1651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g*g**(-4\/5))\/g*g**(-2))\/((g*g**2\/g*g)\/g**(1\/6)) assuming g is positive.\nAnswer: g**(-79\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 522*s**3\/11 - 82480*s**2\/11 + 3258434*s\/11 - 24964\/11.\nAnswer: 2*(s - 79)**2*(261*s - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 752 + 367. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(1216)) + 0 - ((3 + 1*sqrt(1216))**2 + 3).\nAnswer: -1228 - 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/7 + (-19)\/(-7). Let n be 0 - q - (-8)\/8. Let k be 2 + n\/(3 + -2). Solve -3*r + 6*r - 6 = k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 + 4*z**3 - 1 - 45667*z + 2*z**2 + 88*z**4 + 536*z**4 + 45666*z in the form w*z + q*z**2 + d + s*z**4 + p*z**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9264809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 2:39 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 489480448 a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -469, -202, 305, 1172, 2519, 4466, 7133, 10640?\nAnswer: 15107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 5:22 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34*2\/(-2)*(-47)\/94?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**6\/1440 - t**5\/60 + t**4\/6 - 7*t**3\/6 + 7*t**2. Let n(x) be the first derivative of c(x). Let n(b) = 0. What is b?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 * -786.416\nAnswer: -220.19648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116581\/93632 - 551\/4928. Let v = -24\/19 - n. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0145 - -1.9855. Sort -3, v, 9\/2 in descending order.\nAnswer: 9\/2, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2235, 2565, 2869, 3141, 3375, 3565?\nAnswer: 3705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 60 = -8*v. Calculate the smallest common multiple of 8 and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8628, -8515, -8328, -8067, -7732, -7323, -6840?\n\"Answer: 37*j**2 + 2*j - 8667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/7 - 16874*m**2\/7 - 33742*m\/7 - 2410.\nAnswer: -2*(m + 1)**2*(m + 8435)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*z - 40, -4*z + 6*z + 3*m - 24 = 0. Suppose 0 = -0*g - g + z. Find the third derivative of -g + 3*x**2 - 2*x**3 + 9 wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 4*n - 5*n + 6. Let i(d) = -d + 1. Let k(w) = 5*i(w) - x(w). What is k(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/sqrt(72) + -5 - (4 + (sqrt(13) - (-1 + sqrt(1053)))))**2.\nAnswer: -500*sqrt(13)\/3 + 9025\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2 + sqrt(800) + 3 - (-4 + sqrt(800)*1)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*t. Suppose -3*u - 4 = -4*u. Suppose -u*l + 5*l - 2 = t. What is the greatest common factor of 10 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r = -16*r - 6. Let n be (r\/15)\/(2\/(-10)). Let l(s) = -s**2 - 5*s - 3. Let f be l(-5). Is f smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672212000 rounded to the nearest 1000000?\nAnswer: 1672000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-4 + -4) - (-10 + -10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*o - 8. Suppose -5 = -0*g - 5*g, 5*g = -5*j + 25. Find the third derivative of 0*u**4 + o*u**2 - 2*u**j - 4*u**2 wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + 2385\/(-20) - (-3)\/(-4). Let p = -370 - -124. Let s = p - l. Round s to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a - 3*a - a + (3 + 3 - 5)*(2 + a - 2) + a - 2*a + 2*a - 3*a + 2*a + 0*a - 2*a - a + a - 43*a + 272 - 272.\nAnswer: -45*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 164 and 410?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 4\/59623 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17363*h**2 - 16062*h**2 + 1603*h**2 + 0 + 2.\nAnswer: -31822*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, x: 7, v: 5}. What is prob of picking 2 x and 2 v?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 563 - 602. Suppose -q + 3 = 5*p + 36, -q - 57 = -p. Let m = i - q. What is the remainder when 38 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j - 7*j - 3*j)*(-2 + 4 - 1 + (-1 - 3 + 5)*(-4 + 2 + 4) + 1398 - 3590 + 928)*(4*j - 2*j - 3*j) to g*j**2 + u + x*j and give g.\nAnswer: -13871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/6)\/((-1)\/(-8)). Let l(k) = k**2 + 10*k + 23. Let x be l(-4). Put -3, x, q in descending order.\nAnswer: q, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1254 (base 7) to base 8.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 87897385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + s + 21. Let d(c) = -c**3 - 7*c. Let l(w) be the first derivative of w**4\/4 + 3*w**2 - 27. Give s*l(j) - 6*d(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -11*p - 18. Does 3 divide k(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33788555?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**3 + 3*x**2 - 4608*x - 3. Let z(b) = -7*b**3 - 5*b**2 + 9217*b + 5. Determine 5*u(d) + 3*z(d).\nAnswer: -d**3 + 4611*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -300 - -23761. What is the greatest common divisor of 29 and a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**2\/5 - 5152116*q\/5 + 5152119\/5 = 0.\nAnswer: -1717373, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t + 40 = -4*t. Solve t*v + 4*n + 22 = 0, 2*n - n = -5*v - 28 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7579 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-4 - -7)) + -9 + 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 1\/12*c**3 + 0 - 1\/8*c**2 - 3*c - 1\/48*c**4. Factor a(u).\nAnswer: -(u - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 293 - 100. Suppose g = -b + 476. What are the prime factors of b?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -467744075842 and 0.0768?\nAnswer: 467744075842.0768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*d**3 - 527*d**3 + 3*d**2 + 47*d**3 + (1 - 1 - 2*d**2)*(-5*d - 3*d + 5*d) in the form y*d**3 + i*d + m + b*d**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -21.9. Which is the closest to q? (a) 2 (b) -0.2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -6. Let a = 308 + -239. What is the highest common factor of a and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 4*c + 3*c + 2, -2*c = -3*m - 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 374897\/749788 - 3\/749788. Factor -1058 - 46*o - r*o**2.\nAnswer: -(o + 46)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/10*70\/(-49))\/(4 + -1).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*g - 60*g + g)*(0 + 0 - 1)*(0*g - 2*g - 4*g) - 3*g**2 - 1 + 1 to a + d*g**2 + p*g and give d.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20039 = 10*d - 39*d. Suppose 1597 = 8*g - d. Calculate the highest common factor of 44 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plpppllpllpllopy. Give prob of sequence olp.\nAnswer: 7\/480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833536682 a multiple of 2493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 15. Let r = y - -18. Suppose -9*k + 44 = 8. Which is the closest to -0.1? (a) k (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 k when three letters picked without replacement from kqcikikkqiitkq.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8202?\nAnswer: 2, 3, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14646645 (base 8) in base 4?\nAnswer: 30310312211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -304*x**2. Let n(o) = -2*o. Give n(s(f)).\nAnswer: 608*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394940828.\nAnswer: 2, 1171, 84317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5390037 and 8289?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -656041 - -146?\nAnswer: -655673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 144, 140, 124, 90, 32, -56, -180?\n\"Answer: -w**3 + 3*w + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3347\/8588 + -81\/452. Factor 106\/19*g**2 + 102\/19*g - f.\nAnswer: 2*(g + 1)*(53*g - 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -543 = 139*d + 152. Sort d, -1, 2, 6, 1 in ascending order.\nAnswer: d, -1, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.76 - 6.71. Round j to one dp.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**3 - 71*m**2 - 18*m - 135. What is the least common multiple of w(24) and 107?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -37.02255.\nAnswer: -33.02255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1458937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + -0.06. Let c = n - -4.65. Let h = c + -0.6. What is the third smallest value in 0.4, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 301.8 or 368?\nAnswer: 368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.058 and -12760.\nAnswer: -12760.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34627*t**2 - 34567*t**2 + 69206*t**2.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -23395\/4208?\nAnswer: -23395\/4208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 y when three letters picked without replacement from {y: 5, r: 3, b: 3, l: 2}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d - 2*d**2 + 0*d**2 - 7*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*s + 238*s - 8275 = 27*s for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*j + 138 - 138)*(1 - 3*j + 4*j - 2*j) to y*j + l + w*j**2 and give w.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 185171407805.599998821 + -185171406424.6. Let l = 1381 - d. What is l rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1498220 and 1495.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/12 and -49\/14470.\nAnswer: 86820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113299*-0.249.\nAnswer: -28211.451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (178\/6 - 29)\/((-6)\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 39420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 9*f + 30 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 60*j**2 + 399*j - 195. What is r(66)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13654313.\nAnswer: 1151, 11863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 7:17 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, f: 5, d: 2}. What is prob of sequence dlld?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 198173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (1 - -4 - 0 - (0 - -4))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -14*u**2 - 201 + 192 + 5*u + 4*u. Let w(x) = 3 - 3*x + 3*x**2 + 2*x**2 + 0. Let i(k) = 6*o(k) + 17*w(k). Give i(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1708 + 4447 - 998)*(0 - 1 + 2)*(5*y - 10*y + 3*y) to i*y + t and give i.\nAnswer: -10314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 23597.2 to the nearest one hundred.\nAnswer: 23600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-5 - 0) - (-2 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 + 63*g**2 - 197*g + 4. What is p(28)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 105 - 70 = -4*i, 0 = -5*b - 25 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 114 - 29 = j - 2*j + 4*a, 8*a = 8 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2101*339.5\nAnswer: -713289.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-25 - -19) + (14 - (-2 - 4))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(sqrt(432) - (sqrt(432) + 3 + sqrt(432))**2).\nAnswer: -5215 - 396*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 74 = 47. Let g(b) = 36*b**3 - 1. Calculate the remainder when g(1) is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m = -0 + 21 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 1049*j**2 - 3*j**3 - 23*j**2.\nAnswer: -3*j**3 - 1072*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/13 (b) 0.5 (c) 5 (d) -1\/58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 1) + 3\/6*6. Suppose -4*l - 4*s = -12, l + 3*s - 5 - y = 0. Let x(o) = o**2. Let h(f) = -2*f**3 + 5*f**2 + 2. What is l*h(t) - 6*x(t)?\nAnswer: -2*t**3 - t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4 - 170*a**3 - 2112*a**2 = 0. Calculate a.\nAnswer: -11, 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*w + 14875 - 2335. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 21 (c) -0.4 (d) -2\/11 (e) -10 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 800 = 9*z. Let a = 85 + z. Solve -5*q - 5*x = -0*x + 10, 4*x + 26 = a*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.6, -2\/17, -2\/13, -0.4, 5.34?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -524376.\nAnswer: -524376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.062 + -35.062. Let x = -35 - i. Which is the third biggest value? (a) 5\/4 (b) 1\/10 (c) -3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -37. Does 25 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwiw when four letters picked without replacement from iwiwiiwwwwwiiwwwww?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -28192\/1519 equal to -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-135)\/(-60)*(-12)\/(-54))\/(3\/(-66)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 87 + 109 - 54 + 24*l. Let r be n(-11). Which is the third smallest value? (a) 40 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98 + -99. Let n = -0.2 + -2.8. Let r = n - -2.88. Does r = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*1445.\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvmg when four letters picked without replacement from {g: 4, m: 7, h: 8, v: 1}?\nAnswer: 28\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**2 - 14305*s - 522440 = 0.\nAnswer: -2824, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 6504.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 24*n**2 + 2*n - 54. Let s be q(24). Sort 0.027, -1\/8, -1, 1\/5, s.\nAnswer: s, -1, -1\/8, 0.027, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-10))\/(c**(1\/21)\/c))**(-6) assuming c is positive.\nAnswer: c**(338\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 - 2*n**3 + n**3 + (0*n**2 - n**2 - 6*n**2)*(n + 3 - 3) + 4 - 4 - 6*n**3.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g - 3. Suppose -275*m - 1725 = 70*m. Let i(h) = -3*h + 2. Determine m*w(x) - 6*i(x).\nAnswer: 8*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -4 and -72\/25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -98 - -88) + -1 + (-4 - -29)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 18 - 9 - 3*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*t - 4897 + 4897.\nAnswer: 158*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from {y: 1, t: 2, e: 2, q: 6, p: 3}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yrkfdryb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 74*o**2 - 79*o + 453. Let k be n(73). Which is the nearest to 0.8? (a) -0.07 (b) 5 (c) -4 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(40)\/sqrt(36)))\/(sqrt(162) - (sqrt(162) + -1*sqrt(162)) - 5*1*sqrt(2)).\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -8. Let p be (n\/2)\/((-3)\/18). Calculate the greatest common factor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11648\/49504)\/(30\/1989)?\nAnswer: 78\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 151542 (base 6) to base 11\nAnswer: 10034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -6*o + 7\/2*o**3 + 0*o**4 + 4 - o**2 - 1\/2*o**5 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -996\/7 - -142. Which is smaller: w or 6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53090714822 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l. Let o(w) = -217*w + 9261. Give t(o(g)).\nAnswer: -217*g + 9261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/224)\/((6\/(-15))\/((-56)\/40))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20, 34, 48?\n\"Answer: 14*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 8*y**2 - 9*y + 1. Let g be t(-9). Let q = -3.249 + 6.4. Let p = q + -0.151. Which is the nearest to 1\/3? (a) 2\/5 (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**5 + k**6 + 12*k**2 + 3*k**2 - k**5 - 57. Find the second derivative of l(o) wrt o.\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -185446*b - 370901. What is i(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/(-10))\/(2\/5). Suppose c*h - h = 8. Sort 1, h, 2 in increasing order.\nAnswer: 1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69495 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (155\/558)\/(140\/2394)*(-4)\/1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61.06 + 1.06. Let v = d + 59.5. What is the nearest to -1\/4 in v, -0.16, 0.3?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 5*t + 2. Let g be w(5). Suppose 6*k = 7*k - 1. Suppose 3 - k = g*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1850\/(-12))\/5 + (2\/6)\/((-294)\/147).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) 0.03 (b) 0.1 (c) -2 (d) -2\/367 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3001 + 3001. Let w(c) be the first derivative of -14 + 0*c + 7\/4*c**4 + 16\/3*c**3 + h*c**2. What is the third derivative of w(t) wrt t?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.1 + 0.1. Let z = n - -27.6. What is z rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 4, -2\/23?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j**3 - 99*j**2 + 28*j + 163. Let s be w(-20). Let f be (2\/36)\/((-1)\/(-4)). Which is the nearest to s? (a) f (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - j. Let w(q) be the first derivative of q**3 - 427. Calculate w(s(l)).\nAnswer: 3*l**4 - 6*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60.9 + -58.215. Let f = 0.015 + k. Are -2\/17 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/3 = -6.484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26637 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 62 - 60 - (-30)\/(-14). What is the fourth smallest value in 0.05, -3, -8\/3, i?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24450*g + 24983*g - 74065*g + 24627*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36540582553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 4*k - 12, -3 = 2843*a - 2846*a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 30*r**2 - 6*r + 9. Let k be h(2). Let j(i) = 2*i**2 + 8*i - 3. Let s be j(-7). What is the highest common divisor of k and s?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47\/2 in -5, 1, 1\/2, 2829?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 958 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10644 + -489661\/46. Which is bigger: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -17585573?\nAnswer: 17585570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - m = -4*l + 8, 4*l - 6 = m. Is 5 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36175*s**3 + 47932*s**3 + 47604*s**3.\nAnswer: 59361*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 2*w - 23, j - 393 = -w - 394 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1296 + -481. What are the prime factors of t?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.23 + 0.77. Suppose 31*s - 21*s + 770 = 0. Let y = s - -75. What is the nearest to n in 1\/15, 0, y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (700\/42)\/(-3 + 0 + 110\/33). Solve -7*d = 3*d + l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/229563642 and 2\/38260607.\nAnswer: 229563642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4 + sqrt(28)\/(1*sqrt(4)))*-3*-6.\nAnswer: 18*sqrt(7) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/112 and 48\/245.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 12:13 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.41086815 + -1.4108. Round t to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 156 = 15*u - 12*u, 0 = -3*f + u + 122. Let l be (14 + -1)\/((-1)\/2). Let s = l + f. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4\/3 - 742*x**3\/3 - 3676*x**2\/3 - 5864*x\/3 - 976 = 0. What is x?\nAnswer: -366, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -842402*v**3\/5 - 1669228*v**2\/5 + 6216*v - 144\/5 = 0. What is v?\nAnswer: -2, 6\/649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 - -60. What is the biggest value in c, -0.2, -3, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -115, 58 in ascending order.\nAnswer: -115, -2, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**5\/20 + 53*j**4\/12 - 17*j**3 + 532*j - 1. Suppose r(w) = 0. Calculate w.\nAnswer: 0, 2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 150 (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 16775685?\nAnswer: -1\/3355137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1550 and 31473525.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 414, 2077, 4904, 8943, 14242?\n\"Answer: 8*x**3 + 534*x**2 + 5*x - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -12351\nAnswer: 4\/12351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65935 is divided by 44?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0, -6\/71, -2?\nAnswer: -6\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2*-3)\/(-3) + -2. Let g(k) = k**2 - k + 22. Let p be g(z). Suppose 3*c - f + 9 = 344, 4*f + 20 = 0. What is the highest common divisor of c and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 + 3*y + 2. Let v be i(-2). Let m(p) = 3 - 7 + 61110*p - 61099*p. Let w be m(v). Calculate the greatest common factor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, o: 9, y: 4, w: 1}. Give prob of sequence qy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 + 10 = -4*y. Let f = y + 150. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000103777 rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 2:26 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**3 - y**2 - 2*y - 1. Let b be ((-1)\/(-1) - 2)\/1. Let x be m(b). Solve 0 = x*v + 4 - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(612)) + sqrt(612))**2.\nAnswer: -360*sqrt(17) + 15336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 0*k - 14*k - 2*k + 5*k - k + (-1 + 1 - 1)*(-k - 1 + 1) + 0*k + 2*k + 0*k + 4*k + 4*k - 6*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 50*l**4 - 777977360*l**3 + 933572688*l**2 + 1120287296*l + 248952736 = 0.\nAnswer: -2\/5, 2, 15559546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 s when three letters picked without replacement from {s: 5, h: 3, b: 5}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*m - 51*m - 118*m - 3627 = -177*m for m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -769, -760, -747, -730, -709?\n\"Answer: 2*n**2 + 3*n - 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1034 divided by -5\nAnswer: 1034\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6224?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/11 and 550\/33 + 4 + -1.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1467145, 1467139, 1467133, 1467127, 1467121, 1467115?\n\"Answer: -6*n + 1467151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 14. Suppose 8 - 6 = m*q. Solve 5 = 3*x - q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 12. Let i be k(-12). Suppose g = m + 4, -2*g + m + i + 4 = 0. Suppose 2*z - 18 - 52 = g. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.213\nAnswer: 0.0639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80603?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - 14)\/((-1)\/10) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/7567968 and -101\/133385436.\nAnswer: 1067083488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12890 - -12895. Sort -31, 3, b, 4, 6 in ascending order.\nAnswer: -31, 3, 4, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.721 + -1.666. Let x = 46 - 52. Let n = r + x. What is n rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**2 - 11*u + 5*u**2 - 11 + 2*u**3 + 2*u**2 - 3*u**3. Let n(y) = -y**3 + 6*y**2 - 6*y - 6. Determine -11*n(t) + 6*s(t).\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 655, 632, 603, 568, 527, 480, 427?\n\"Answer: -3*i**2 - 14*i + 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 268 + -231. Suppose -33*s = -i*s + 36. Calculate the greatest common factor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yodywmdmdddoommdm. Give prob of sequence wooy.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**6\/60 - 23*d**5\/330 - 13*d**4\/132 - d**3\/33 - 765*d**2. What is w in x(w) = 0?\nAnswer: -1, -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwwwwfwww. Give prob of sequence wf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 53*s**2 - 13*s - 4795. Let w(l) = -5*l**2 - l + 1. Let p(v) = 2*r(v) + 10*w(v). What is the first derivative of p(u) wrt u?\nAnswer: 112*u - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5\/8 + 3*n**4\/4 + 5*n**3\/8.\nAnswer: n**3*(n + 1)*(n + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 363.88 - 356. Let t = f - -0.12. Let x = 8.000006 - t. Round x to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 635 + -62. Suppose 13*l = p + 1871. Does 32 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-5 - -2) + -13 + 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 6 + 1101866\/62458 + (-2)\/(-11)\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 22801*a**5 + 729028*a**4 + 3378025*a**3 - 4239650*a**2 + 110524*a - 728 = 0.\nAnswer: -26, -7, 2\/151, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3614818 millilitres?\nAnswer: 0.0003614818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**6\/210 - 2*v**4\/21 + 8*v**2\/7 - 62*v. Factor s(z).\nAnswer: (z - 2)**2*(z + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0057263 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 5190*j - 5094320.\nAnswer: 5*(j - 1654)*(j + 616)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 - 17*y - 17. Let b be p(-5). Suppose 92*m + b = 86*m. Let n(d) = d. Let u(f) = -2*f. What is m*u(h) - 4*n(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6534, 12765, 18996?\nAnswer: 25227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9)\/(-3) + (6 - -2) is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dccuucdcddduddcupp. What is prob of picking 2 p, 1 d, and 1 c?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 7 = -48*p - 224 - 175 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 203858 (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*r + 33, -53 = 4*a + 3*r - 6*r. Is -15 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 7*i**2 + 6*i - 3. Let n be k(-6). Let v be (-3 - (-5 - n))\/(-1). Solve 4*t - 3 = 3*d + v, 0 = 2*d + 3*t - 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 10 = 6*f. Find the third derivative of 1472*c + 42*c**f - 22*c**2 - 1472*c wrt c.\nAnswer: 2520*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*j - 62 = 9*s, 1 = s - 5*j. Let o be s\/40 + (-14)\/56. Let p be 144\/(-448) + 4\/7. Which is the nearest to p? (a) -3\/2 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 2\/11, -5, -10\/3, -42.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -976 - -912. Sort s, 5, 2 in descending order.\nAnswer: 5, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**5\/4 - 35*a**4\/12 + 85*a**3\/6 - 45*a**2\/2 + a + 29. Let o(h) = 0. What is h?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8562, 8570, 8584, 8604, 8630?\n\"Answer: 3*m**2 - m + 8560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 149675.\nAnswer: -1\/149675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -1.3022?\nAnswer: 1.3022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1329087.\nAnswer: 3, 43, 10303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1082370, 2164737, 3247102, 4329465, 5411826, 6494185?\n\"Answer: -f**2 + 1082370*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/(-6))\/((4326\/(-140))\/103).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 198 and 0.05?\nAnswer: 197.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 + 13*h - 6. Let o(r) = r**2 - 1. What is -5*o(f) + v(f)?\nAnswer: -2*f**2 + 13*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-1) + 1)\/2. Let i(r) = r**3 + 10*r**2 + 8*r - 7. Let c be i(-9). Let v = z + c. Solve v*x - 12 = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -626487 or -626489?\nAnswer: -626487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*q - 2*q - 17, -5*h = 2*q - 19. Let d = 8 - 14. Let m = d - -8. Solve 2*p = -h*s - 21, 1 = -m*p - 4*s + 3*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*z - 2)*(-7 - 204*z + 2549*z - 939*z - 299*z) to the form m + q*z**2 + x*z and give q.\nAnswer: 2214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26, 21, 26, 47, 90?\n\"Answer: h**3 - h**2 - 9*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14803 is divided by 148.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 320 - 212. Suppose -26*w - o = -30*w. Is w a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1212106 = 11*o - 134*o - 1199560 for o.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2\/11, -5, 9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 26*x**2 + 3 + 30*x**2 + (-4*x - x + 4*x)*(3*x + 0*x + 0*x) as o*x**2 + y*x + u and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2196000 and 296460?\nAnswer: 59292000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 3*h**2 - 1069*h + 39 + 19 - h**2 + h**4 + 1055*h to q*h**4 + i*h**2 + y*h + m*h**3 + k and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 3. Let o be m(-6). Let i be 6\/o + 78\/9. Suppose 0 = -z + 3*n - i, 3*z - 4 = 6*z - 4*n. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in 3, -1, -0.8991?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m + 40. Let b be n(-10). Find the common denominator of 67\/72 and (-187)\/40 - (-4 - (9 + b)).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away 13.98329?\nAnswer: -7.98329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -4, 2, 0.0217, 1\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) -4 (c) 408 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-972 + 972 + 1298*d)*(12 + 16*d**2 - 12) to o + h*d**2 + y*d + q*d**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 180*w**3 + 887*w**2 - 61*w**3 - 2 - 59*w**3 + w**4 - 62*w**3 + 347*w**2 + 2*w to i + v*w**3 + h*w**4 + o*w + z*w**2 and give z.\nAnswer: 1234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 9. Let m be 0\/(-4*(-1)\/2). Solve u - 3*u - c = m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**2 + 358*q - 5944. Determine u(45).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 10 = 5*m - 2*m, -2 = -5*m + 4*n. Calculate the least common multiple of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 1412, 4843, 11570, 22703, 39352, 62627, 93638?\nAnswer: 133495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1\/3 (b) 236.2 (c) -0.2 (d) -0.008\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0 = 12. Suppose 0*u - n = -3*u. Let p be ((2 - 3) + 1)\/1. Solve -u*w + 2 = -p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869513 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -34*a - 42. Is 26 a factor of v(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2894.5 + -2895. Which is the closest to -5? (a) -10 (b) 5 (c) -2\/17 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5065.1 - -5065.02. Let x = 2\/187 - 941\/561. Sort x, f, -5.\nAnswer: -5, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188640 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 18*m + 24. Let v be b(19). Solve -15*f**3 + 2*f**v - 81*f - 10*f**4 + 20*f**2 + 3*f**5 + 101*f = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2248020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 220669580 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 1. Let x(o) = 5*o**2 + 2*o + 10. Let b(f) = -6*i(f) - x(f). Let m(t) = -6*t**2 + 5*t - 5. Let s = 12 - 16. Calculate s*m(w) + 5*b(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2 - 5, -h = 5*c + 1271. Let z be 3*(-1 + 2)*130\/(-3). Let o = z - c. What are the prime factors of o?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 550331.5562 to the nearest 10.\nAnswer: 550330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*g - 16 = 0, -5*p - 4*g = -6*g - 20. Let t be (114\/4)\/(p\/56). What is the highest common factor of 42 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3249 and 70650.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 6*n + 2*n = 0, -3*i = 59*n + 144 for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c = -5. Let g be (8\/c)\/(8\/20). Let p = 4291\/5724 + 1\/2862. Put -0.2, 3, p, g in decreasing order.\nAnswer: g, 3, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 3*y + 2. Let n be c(2). Let g(r) = -r**2 - r + 18. Calculate the lowest common multiple of 30 and g(n).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (58\/(-87))\/((-1)\/(-3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 - -70. What is the greatest common divisor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 12*b = 280. Let n be 6\/14 - (-55)\/b. Suppose 162 = n*q + 22. What is the remainder when q is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*r + 44, -2*i = 2*r + 17 + 17. Let s be (-2)\/(-6) - 2\/i. Factor s*p - 1\/2*p**2 + 0.\nAnswer: -p*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*c + 35*b**2 - 8*b*c**4 + b with respect to c.\nAnswer: -b**2 - 32*b*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/2))**(1\/8)\/(d*d**(3\/4)*d*(d*d**(3\/2)*d*d)\/d*d))**(2\/71) assuming d is positive.\nAnswer: d**(-115\/568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16157\/35 - 3230\/7. What is the nearest to 2 in m, -0.26, -12.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = 5*q + 4*d - 3*d + 4, q = -2*d - 26 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 8*u + 12. Let l(v) = -9*v**2 + 84*v + 120. Let j(o) = -2*l(o) + 21*s(o). Factor j(x).\nAnswer: -3*(x - 2)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/5 (b) 324 (c) -5 (d) 13 (e) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-1)\/(-30)*((-265)\/3180)\/((-2)\/(-54))\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**4\/4 + 7*l**3\/3 + 9*l**2\/2 - 6*l - 5. Let u be w(8). Sort -3, 1, u.\nAnswer: -3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 61 = -3*s + 236, -2*k + 114 = 2*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*g**3 + 35*g**3 - 60*g**3 + 5*g**2 - 1 + 1 as z + p*g**2 + k*g + t*g**3 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqcxxox. What is prob of picking 1 x and 2 o?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 15 = 239. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 336 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - 14. Suppose -4*j - 3*q = -92, -j + m = j + 2*q. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5011 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 10 (base 8) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 17324?\nAnswer: -17323.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 7*c**6\/180 + 23*c**5\/180 + c**4\/18 + c**3\/3 - 5*c**2 + 3*c + 11. Let r(x) be the second derivative of n(x). Factor r(p).\nAnswer: 2*(p + 1)*(21*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndejenee. Give prob of picking 1 j and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 331 - 329. Is 4 - -959 - (-5)\/(1 - t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*p + 246, 0 = 4*n - 2*p + 124 - 322. Find the common denominator of -17\/8 and (-1)\/3 + 58\/n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-33) - (-20120484)\/66. Is z\/32 + (-28)\/16 + 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -164, -385, -694?\nAnswer: -1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*j**4 - 908*j + 64476 wrt j?\nAnswer: 44*j**3 - 908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*k - 35*k - 3*k + (2*k - 6*k + 3*k)*(1 - 2 + 2))*(-4 + 5 + 1) to the form r*k + t and give r.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6*t - 40. Is 4 a factor of t\/(-1 - 0)*(-154)\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.358 (b) -2\/19 (c) 214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -5*i**4\/8 + 5*i**3\/2 - 25*i**2 + 3. What are the prime factors of q(-14)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -400552, -400602, -400652?\nAnswer: -400702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15*2\/6 + -75. Let k = -72 - d. Let p be (k\/(-3))\/(2\/60). Solve 5*n = 4*a + p, n = -4*n - a + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 218 = 238 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*v - 26. Let t = 17 + v. Suppose 2*x - k - 61 = 0, t*x + 4*k - 5 = 51. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3650 - -3654. Which is the second smallest value? (a) g (b) -21 (c) 1.4 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4033780?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i + 6. Let z be s(3). Calculate the greatest common factor of 72 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -4. Suppose 0 = 5*t + 6 - 1. Let a(j) = 0 + 0 + 1. Let k(i) = -i - 5. Give t*k(m) + z*a(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-42)\/9)\/(6\/9). Let c = -6 - u. Let p be 2*c\/(1\/1). Solve 0 = p*f - 7*f - 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**7\/630 - a**4\/12 + 3*a**2. Let p(q) be the second derivative of j(q). Let r(t) = -2*t. What is p(r(v))?\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooooomm. What is prob of picking 1 m and 3 o?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 121 - 58 - 73 - 3*v + 6*v + v**2.\nAnswer: (v - 2)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -116 + 3046150?\nAnswer: 3046031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -11*o**3 + 4*o**2 - 4*o + 2. Let u be s(2). Let j = u + 96. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*w + 445 = 46*w + 78*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2924080000 to the nearest one million.\nAnswer: 2924000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1653922809.\nAnswer: 3, 7, 11, 17, 29, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33731 and 4169.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -3. Let y be (9\/g)\/((-2)\/(-1)). Which is the closest to 1\/2? (a) -4 (b) y (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17723, -70926, -159599, -283742, -443355, -638438?\n\"Answer: -17735*i**2 + 2*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000361619503 rounded to 7 dps?\nAnswer: -0.0003616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**2 - 58. Let y(n) = -103*n. What is u(y(b))?\nAnswer: 42436*b**2 - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1415\/7? (a) 1.68 (b) -0.3 (c) -1 (d) -5\/3 (e) -1\/6 (f) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, p: 1, b: 1, z: 2}. What is prob of sequence bpo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/9, 76, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26\/5 of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 371408020*o - 17242989665040050.\nAnswer: -2*(o + 92852005)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/1053*27\/18*180\/(-6)?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1444 - -3025. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 317.2 times -5\nAnswer: -1586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4553985 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6340 + 10187. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105 - -135. Let m = 162 + -87. Calculate the highest common divisor of m and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -17*d**7\/2520 + d**5\/60 + d**2. Let u(x) be the third derivative of j(x). Does 17 divide u(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*d + 178 + 147, -3*l + 474 = -3*d. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (114\/95*(-40)\/36)\/(1\/(-9)). Solve -14 = -3*k + 68*b - 73*b, o = 2*k + 4*b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 38*f**2 + 38*f + 56. Let w be b(39). Suppose -w*t + 5374 + 12000 = 0. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1032, 1863, 2694, 3525?\n\"Answer: 831*n + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66565 by -13313.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3064 (base 15) to base 14.\nAnswer: -3a1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/((-26)\/195)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1414 - 1002. Which is the third smallest value? (a) -3 (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 296 - 293. Suppose p = 4*a - 645, -f*p = 4*a - 7*p - 648. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6*b - 150 = -3*z, 2*z - 105 = -3*b. Calculate the highest common divisor of 204 and z.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 4) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/675755013 and -38\/11?\nAnswer: 7433305143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 8*c**2 + 4*c - 5. Let u be y(5). Let b = u + -539\/6. What is the common denominator of 91\/12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570\/(-76)*((-8)\/5)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 z when three letters picked without replacement from {x: 2, v: 4, t: 1, z: 11, y: 1, i: 1}.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6523 divide 85444777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 9*s = 167, 0 = 21*c - 17*c + 3*s - 319. Calculate the remainder when 357 is divided by c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 467*k + 0 - 52*k.\nAnswer: 415*k - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 199 - 130. Let i = m - 35. Suppose c = r - 26, 0 = -4*r + 3*r - c + i. Calculate the remainder when r is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6081 by 6914.\nAnswer: 6081\/6914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 21*r**2 + 19*r + 77. What are the prime factors of b(14)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25, -132, -317, -610, -1041, -1640, -2437?\n\"Answer: -5*v**3 - 9*v**2 - 45*v + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2\/3))\/(d*d**2)*(((d*d\/(d*d*d\/(d**27\/d)*d*d))\/d)\/d)\/(d*d\/d**(-2\/45)))**(-45) assuming d is positive.\nAnswer: d**(-793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/48, -13, -5, -1\/5, -2\/7 in decreasing order.\nAnswer: 1\/48, -1\/5, -2\/7, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5*q + 49, 0 = -3*v + 13*q - 18*q - 7. Let k be (-1)\/((-9)\/126) + -1*v. Solve -k*h - 21 = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4*(-15)\/280)\/(6\/32). Which is the biggest value? (a) i (b) -3\/4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from ixyllllc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*u - 140*u + 134*u**2 + 24*u - 129*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 9. Suppose -6 = g + 3*p, -3*p = -3*g + 9 - 3. Is 11 a factor of g\/(t*4\/16) + 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2361147 + 2?\nAnswer: -2361145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 572686249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 10:02 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/7 + 163\/7. Solve -3*p = l - 3 + b, -2*p = 4*l + 30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5034 (base 11) to base 9.\nAnswer: -10155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 - 427\/(-21) - 2\/6. Suppose 0 = 2*s + 5*y - 0*y - 41, 4*s = y + 27. Calculate the highest common divisor of s and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 5:45 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.161 + -13.461. Which is the biggest value? (a) 0.4 (b) -30 (c) q (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-640)\/(-40)*(-35)\/(-40).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + 3*h**2 - h**2 + (-12*h + h + 0*h)*(288 - h - 288) as j*h**2 + d*h + w and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, 2, -36, -0.1 in descending order.\nAnswer: 2, 1.2, -0.1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2722 - 42aa?\nAnswer: -6a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**3 + 115*l**2 - 23*l - 569. Determine c(38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 442548539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 - 2*q**2 + 2*q + 2. Suppose -279*n - 15410 + 25589 = -49806. Calculate the remainder when n is divided by x(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 978741.9ml in litres?\nAnswer: 978.7419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 6*j**2 + 5*j - 13. Let r be l(6). Let t = 32 - r. Differentiate 6 - 35*w**2 + 16*w**2 + t*w**3 + 19*w**2 with respect to w.\nAnswer: 45*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5405947 to the nearest integer?\nAnswer: 2325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 12*n**2 - 6*n - 10. Let h(f) = 5*f**2 - 3*f - 6. Give 9*h(j) - 4*r(j).\nAnswer: -3*j**2 - 3*j - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0615195903 to 5 decimal places.\nAnswer: -0.06152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71\/55 - -12\/11. Let u = 6 - 13. Let h = u - -7.1. Which is the nearest to 2? (a) 0.3 (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k**3*p**2*u**3 + k**3*u**3*y - 2*k**2*u**3 + 3*k**2*u + p**2*u**2*y - p**2 - 2*u**3*y wrt y?\nAnswer: k**3*u**3 + p**2*u**2 - 2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 181445996 a multiple of 926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496*b = -15*b - 438*b + 251*b - 15356 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 + 1. Let g(i) = 9*i**2 + 4*i - 6. Let t(z) = -3*c(z) - g(z). Find the second derivative of t(b) wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -2, 4, -3, -5 in descending order.\nAnswer: 4, -2, -3, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 - -16. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 7 + 19. Suppose 3*v - 15 = -2*o, -o = 4*v + 3*o - 24. Let l = 9 - 10. Sort p, v, l in ascending order.\nAnswer: p, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 78363.29 micrometers?\nAnswer: 0.00007836329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/7)*l**(1\/2)*l**(-11\/5)\/(l*l*l**11*l))**(4\/27) assuming l is positive.\nAnswer: l**(-2018\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27, 109, 303, 651, 1195?\n\"Answer: 7*k**3 + 14*k**2 - 9*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j - 6. Let q be b(6). Let h be 3\/(-9) - (-91)\/39. Suppose h*a = -a + q. What is the least common multiple of 3 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2166)\/(-190)*(-55)\/(-3) and 19?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 2*p + 2. Let d be f(0). Let b(u) = -4*u + d*u + 5*u - 5 + u. Let n(m) = -2*m + 2. What is 3*b(i) + 7*n(i)?\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 41. Find the second derivative of -29*m + 12*m**3 + r*m + 6*m**3 + 2*m**3 wrt m.\nAnswer: 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 126, 94, 26, -90, -266, -514?\nAnswer: -846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 14*g - 16. Let t be w(15). Let o be t\/(-3) + (65\/6 - 11). Determine n so that 2\/3*n**3 - o*n**4 + 0 - 5\/6*n**2 + 1\/3*n = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 539651188, 1079302378, 1618953568, 2158604758, 2698255948, 3237907138?\nAnswer: 3777558328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31, -63, -81, -79, -51?\n\"Answer: s**3 + s**2 - 42*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 514*h*o + 275807808*h - 66112*o wrt o.\nAnswer: 514*h - 66112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -4\/3, -2\/13, -0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 p when three letters picked without replacement from {z: 2, p: 1, o: 2, y: 1, s: 4}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - -4*sqrt(605)*6) + -3*2*sqrt(605) - 4*(sqrt(605)*-2 + 3)*-6)**2.\nAnswer: -45936*sqrt(5) + 513989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-300)*-10*(-4)\/8*-10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.013 - 3.113. Let f = 3.06 + -0.06. Let v = f + u. Which is the closest to v? (a) 0 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 11 + 110*i as c + x*i and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.497 * 1.\nAnswer: 0.497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2372*n. Let d(s) = -167*s + 278. Give d(l(y)).\nAnswer: -396124*y + 278","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**5 + 2*h**5 + 0*h**5)*(515 + 621 - 217 + 333) + 2*h**5 + 0*h**5 + 0*h**5.\nAnswer: -1250*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((7 + -13 - -14) + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 - 2*t + 1. Let o(s) = -5*s**3 + 33*s**2 - 4*s - 293. Let n(z) = 2*b(z) - o(z). Differentiate n(u) wrt u.\nAnswer: 15*u**2 - 58*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k + 321. Let s(z) = 4*z**2 - 48*z - 6. Let m(q) = -q**2 + 8*q + 1. Let d(t) = 6*m(t) + s(t). Give d(y(g)).\nAnswer: -50*g**2 - 6420*g - 206082","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 140, 167, 204, 251?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18831 is divided by 146.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 320a - 5?\nAnswer: 3205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 144 = -2*w. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -u - 3*y, 2*u - 10*y + 5*y = 66. Suppose -m + 3*m - 14 = 0. Let h(r) = -r**2 + 7*r + 8. What is the lowest common multiple of h(m) and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 79?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 87253 - 7?\nAnswer: 87248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 361, -76817, -3 in descending order.\nAnswer: 361, -3, -76817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 6) in base 7?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-780)\/65*(-14)\/(-12)*2\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -550454434 (base 6) to base 9.\nAnswer: -20451864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 5*f + 0*f)*(3 + 0 - 2)*(217 + 228 - 366)*(-f**2 + 6*f**2 - 2*f**2).\nAnswer: 948*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -9*i + 6*i - 92, 110*i + 56*k - 38 = 115*i for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 17812755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4153?\nAnswer: 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 9*c - 1. Suppose -d + 4*h = 9*h - 12, 2*d + h - 15 = 0. Give i(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3747 divided by 262467?\nAnswer: 1249\/87489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 15*w**3 - 3*w**2 + 1307*w - 6514. What is the remainder when p(5) is divided by 166?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2.05. Let p = q - 0.35. Which is the closest to 0.1? (a) p (b) -1 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b + 2*t = 0, 4*b = 2*t. Let x be (-152)\/(-28) - (5 - (-160)\/(-35)). Solve b*p = -x*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -1, -53, 2\/3 in descending order.\nAnswer: 2\/3, -3\/7, -1, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.823323m?\nAnswer: 823.323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iiihihhiihiihhiiii?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -62, -33?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*w**2)*(-17*w + 14*w + 3*w**2 - 2*w**2).\nAnswer: -2*w**4 + 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 432659 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453460510?\nAnswer: 2, 5, 197, 383, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, -16, 0.06, -1\/4.\nAnswer: -16, -9, -4, -1\/4, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013939314 to 5 dps.\nAnswer: 0.00139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -8427000 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 10 = -9*p - 2*i, 4*p - 20 = -4*i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 2*l**2 + 2*l**4)*(30 - 30 - 9*l + (-4 + 2 + 3)*(-l - l + l) - 1 + 1 - 2*l).\nAnswer: -24*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 2 - 3)*(6*a + 10 - 10)*(7 - 36 - 9) + (-3*a + 4*a + 0*a)*(1 + 2 - 4) + 4 - 2*a - 4 + 0*a + 0*a + a to i + r*a and give r.\nAnswer: -914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (-25 + (10 - -29))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42188.8127 rounded to the nearest 10?\nAnswer: 42190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 7, -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + (-8 - -16) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from uuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -14. What is the biggest value in 0, 5, 0.1, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -246 less than or equal to -247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 3*u + 7*u)*(7 + 0 - 2).\nAnswer: 45*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + (sqrt(832) + (sqrt(832) + -2*sqrt(832))*-5)**2 + -5.\nAnswer: 8*sqrt(13) + 29947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m - 57 + 399 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + c + 2. Let n be s(0). Suppose 3*u = -n*q + 1, 2*u + 24 = 3*q - u. Let x(v) = -2*v - 4. Calculate the remainder when q is divided by x(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4932 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 486 - 1649. Let g = h - -1799. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 r when four letters picked without replacement from fforcffc?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, -440\/9, 8 in descending order.\nAnswer: 8, -1, -7, -440\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 36*o + 247. Let i be b(-42). Let y be 384\/208 + (-2)\/(-13). Let h(u) = -u**3 + 0*u**2 + 3*u**2 - 4*u**2 - 4*u**2 - y. Calculate h(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 92\/20 - (-4)\/10. Suppose g - 5*v + 1845 = 6*g, 0 = 3*g + z*v - 1099. What are the prime factors of g?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-nine fifths of a centimeter?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17922 = -77*c - 15727. Is -436 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + r - 4*q + 65766, 0 = -3*r + 2*q + 98665. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/20 of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {z: 9, i: 9}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.083941 - -0.084. What is s rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-805)\/(-3) - -1)\/((-46672)\/(-17502)))\/(-3 + 2).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -0.04, -3.6, -0.3, 1, -2?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27588 is divided by 219.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, q: 2, d: 2, v: 8, h: 7}. What is prob of sequence qav?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6173730 and 4938984.\nAnswer: 24694920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-5 + -2 + (7 - 6 - (1 + 56))).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/3 (b) 5 (c) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*b + 3592 + 4562 = 0. Is -156 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 166820 and 1310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - 3*u**2 + 3*u**2)*(2 - 1 - 2 + 0 + 0 + 1 + (-4 + 4 + 1)*(-6 + 2 + 3)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123 + 180. Suppose -161 = 6*f - 3*f - 4*o, f + a = 3*o. Let w = f - -92. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*a - 54 = 227*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 98149 or 98145?\nAnswer: 98149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 5*j**2 - 15*j + 4. Let i be h(0). Let g = 722\/7 - 103. What is the third smallest value in -8, 1\/4, g, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 5*o + 374. Is -1 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -5. Suppose -2*s = m - 5. Suppose -3*k + 35 = s*k. What is the remainder when k is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20237 is divided by 49.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 0*y**2 + 3\/2*y**4 + 5\/3*y**3 + 4\/5*y**5 - 4*y + 56. What is the third derivative of r(k) wrt k?\nAnswer: 96*k + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 12*y + 10. Let x be n(-10). Let g be (-3 + x)*(3 + -2). List the prime factors of -1 - -2 - (g + 4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*f + 435, 2*f = 3*g + 104 + 66. Suppose -19 = -5*v + f. What is the remainder when 195 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 36 + 44 = 0. Calculate the lowest common multiple of y and (-1)\/((1\/(-1))\/10).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**11)**(-40)\/((v*v**(-7\/4))\/v*v**(-1\/11)) assuming v is positive.\nAnswer: v**(-21039\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 divided by -18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3627\/10672, 5\/3, 1 in descending order.\nAnswer: 5\/3, 1, -3627\/10672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*s + 62, 0 = -6*z + z - 4*s - 61. Let m = 15 + z. Calculate the highest common factor of 3 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28612 - -41245. Suppose 3*s = -4239 + f. Suppose 0 = -4*g + 6*g - s. Is g 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 9:24 AM and 9:18 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 65751\/(-931) - 8\/(-14). Let l = 70 + r. Let p = -2 - 2. Which is the second smallest value? (a) l (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 954 and 44202?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/17)\/o**(-11)*o**(3\/16)*o\/((o**(-12)*o)\/o) assuming o is positive.\nAnswer: o**(6643\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1148, -1149, -1150, -1151, -1152?\nAnswer: -1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1595 divide 6420032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -517\/690 + -48\/115. Which is the biggest value? (a) i (b) 2\/13 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43645797 and 3893.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27438\/35 - 784. What is the third smallest value in -2\/3, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*c - 2166058 - 405949, 0 = 3*c - 4*w - 1928991. Let m be c - 1\/(-6)*-6. Round m to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - 0) + (10 - (-24 + 23))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -1006*c + 999*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -42*m + 1. Let u be a(-2). Suppose 3*v - 4*y + 20 = 0, 0 = -3*v + 2*y - 0*y - 10. Suppose 2*t + 13 - u = v. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*t - 5*a + 233, -a + 425 = 5*t. Is 22 a factor of (-1)\/(-2) + t\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/552 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m*r**3 - 291354*m - 541776*r**3 + 6*r - 15 wrt r.\nAnswer: -3*m*r**2 - 1625328*r**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2 + sqrt(68))*-1 + sqrt(68))**2 + (-5 + (sqrt(68) + -2)**2 - (sqrt(68) - ((sqrt(68) - (sqrt(68)*2 + sqrt(68))) + sqrt(68) + 5))).\nAnswer: -12*sqrt(17) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, d: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 33*s**2 - 3*s + 30. Let j(x) = -32*x**2 + 4*x - 30. Let o(q) = -3*j(q) - 4*v(q). Differentiate o(r) wrt r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 16\/11*j - 4*j**2 + 140\/33*j**3 - 25\/22*j**4 + 3. Factor z(l).\nAnswer: -2*(l - 2)*(5*l - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401785.\nAnswer: 5, 107, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21788671 to the power of 1\/2, to the nearest integer?\nAnswer: 4668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 4493 - -1179. What is the thousands digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-6) - ((-725)\/(-15))\/(-1). Suppose x = p + 5*p. Solve -p*s = -6*s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(10\/(-35)))\/(0 + (2 - 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82301?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*m - 1006 = -7183 - 1046 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.34745.\nAnswer: -0.104235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/167 and -45\/91.\nAnswer: 15197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.6 + 8.6. Which is the biggest value? (a) y (b) -0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2 - 528*c + 541. Let n(o) = 20*o**2 + 3695*o - 3790. Let q(i) = -2*n(i) - 15*r(i). Let q(a) = 0. What is a?\nAnswer: -107, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -6. Let f = -2\/905 + -1263\/1810. Let s = f + 19\/20. What is the smallest value in s, -3\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 - -49.1. Let o = i + 7.7. What is the second smallest value in o, -2, 12?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -43*c**2 - 3*c - 1. Let f be y(4). Let m = -394 - f. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 + 1. Let h(s) = 5. Let z(k) = 2. Let y(p) = -3*h(p) + 7*z(p). Let n(l) = -f(l) - y(l). Let o(i) = 2*i**2. Give o(n(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 3*v**2 + 1. Let j(i) = 0*i**3 + 10*i**2 - 1 - i**3 - 12*i**2. What is 4*j(f) + 3*q(f)?\nAnswer: -f**3 + f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 724*m + 526*m + 11*m**3 + 198*m.\nAnswer: 11*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-3)\/6)\/(9\/12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106360576 by -217952.\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.06 + -0.06. Let c = -1.2 + 1.6. What is the nearest to a in 4, 1\/8, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*r + 5*r. Suppose 0 = 3*g - 15, 0 = -f + 4*f - r*g - 548. Is f\/14 - (-6)\/(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5 = 4*k, 3*k + 10 = 2*u - 0*k. Suppose u = 4*n + 1, 5*j - n = 159. What is the greatest common factor of 352 and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*i**3 - 24*i**2 - 33*i + 42.\nAnswer: 3*(i - 2)*(i - 1)*(5*i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 75 = -6*y. Suppose -2*g + 111 = y. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b + 22 = -2*k - 152, 31 = -5*k + 12*b + 11 + 130 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78550 and 300.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (474\/14)\/(322\/((-157780)\/(-210))).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -719 - -2925\/4. Let x = -86 + 1387\/16. What is the common denominator of v and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.8 - 4.2. Which is the third biggest value? (a) -31 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6)*x**(-6))\/((x*x**(-1\/4))\/(x\/(x*x**(-6)))))\/((x**(-1)*x)**(-4\/5)\/((x**(-2\/5)\/x)\/x)**(5\/13)) assuming x is positive.\nAnswer: x**(-399\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/3)\/3*-42. Let s(k) = k**3 + 4*k**2 - 2*k. Let n be s(-5). Let v = n + r. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -2\/15, 21, -3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 - 19 = -4*t. What is the highest common factor of t and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010010 + 1001001110011010?\nAnswer: 1001000111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 2692.\nAnswer: 269.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 442853894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9\/2565*(-2235)\/(-149)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2350, 51, -3.\nAnswer: -3, 51, 2350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 3:50 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q**3 - 14*q - 17. Let m(h) = -2*h**3 + 5*h + 6. Let a be (-3)\/12 - (-60)\/(-16). Let p be 7 + a + 1 + 13. What is p*m(o) + 6*n(o)?\nAnswer: 2*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20218 is divided by 10106.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*(-10)\/(-9)*(-144)\/(-80).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 127 = 4*x, 0*a = 2*x + 4*a + 68. What is the common denominator of 7\/2 and x\/(-7) + 0 - -3?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1196 - (64\/8 + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + -2)*3 + 2*sqrt(112)*3 - (((sqrt(112) + 0)*6 - (-5 + -2*sqrt(112))) + -2))**2*-1.\nAnswer: -193 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004062472 rounded to five decimal places?\nAnswer: -0.00406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165 + 333 - 347*d - 168.\nAnswer: -347*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(455\/(-10)))\/(666\/(-234))\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -328494, -328492, -328490, -328488, -328486, -328484?\nAnswer: -328482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10 = -d, -3*d = 3*q + 9 - 27. Find the third derivative of 9*z**d - 14*z**2 - 2*z**5 + 0*z**4 + 0*z**4 wrt z.\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7782 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1964)\/(5\/(-10) - 0). What is the first derivative of 124*w**3 - 30 + 3928*w - t*w wrt w?\nAnswer: 372*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-1)\/(-2)*5\/10.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 34*a + 1668. Let q be l(-49). Suppose 2 = h + 1. Let d be 22\/(h\/1 - 0). What is the highest common divisor of q and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 12 - 0. Let j = -4 - g. Suppose j = -2*u - u + 222. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6441 is divided by 293?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 61 = -5*z + 3*y, y = 1. Let m = -13 - z. Let k = -0.1 + -0.1. What is the second biggest value in m, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o. Let y be (-6)\/(-2) - (450\/(-15) + 24). Let z(i) be the second derivative of 0*i**2 + 0 + 0*i**3 - y*i - 15\/4*i**4. Give k(z(v)).\nAnswer: 45*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.167469 + -0.050226. Let u = -0.217 - v. Round u to five dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 203643 = -4*s - 331208, 2*b - s - 356574 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -61.9 > -31526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, -3, -20, 3, 54 in decreasing order.\nAnswer: 54, 3, -2, -3, -7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -10.6 (b) -21226 (c) -3 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 times -45117?\nAnswer: -4240998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54588042 is divided by 5691?\nAnswer: 5661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 286, 431, 576?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6543*q**3 - 3636*q**3 - 3676*q**3.\nAnswer: -769*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert b8b9d (base 15) to base 3.\nAnswer: 1002210112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*o**2 + 38 - 38)*(2*o**2 - 4*o**2 - o**2) as u*o**2 + l*o + q + b*o**3 + s*o**4 and give s.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 833*u**3 + 813*u**3 - 2465*u**3 + 14 + 820*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87a4 (base 12) to base 5.\nAnswer: -434311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11615 is divided by 5590.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (3 - 3))*7\/(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 403480060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzebmemeeeeb. What is prob of picking 1 z and 2 e?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmim when four letters picked without replacement from {m: 7, v: 2, i: 2}?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 150 + -148. Solve -o*r = -2*f - 2, f + 1 = 5*r + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**7\/21 + 3*l**3\/2 - 9*l**2\/2 - l. Let m(o) be the first derivative of z(o). Find the first derivative of m(i) wrt i.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, w: 4, c: 2}. What is prob of picking 2 w?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c = 8. Suppose 69 = c*q + q. Is 22 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4*40\/(-4). Suppose 0 = 2*k - 3*q - q, 5*q - 30 = -j*k. Suppose k*z - z = -3. Is z bigger than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 465 and 107136?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a1 + -1016?\nAnswer: -10b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 4 + 0)*(2 - 2 - f)*(-26 + 16*f + 16*f - 29*f) - 1 + 1 - f**2.\nAnswer: -31*f**2 + 260*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 558 and 3434931.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 7*m - 6 + (0 + 4 - 3)*(159*m - 323*m + 154*m) + 4*m - m - m as z*m + l and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 212118 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from razzzzrazzkzz?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -444138 or -444140?\nAnswer: -444138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 372375\/(-13875) - 186\/1147.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16 + 191*k - 398*k + 2 + 2*k**2 + 180*k.\nAnswer: (k - 14)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 1435 - 1435)*(-l - l + 3*l)*(4*l + 0*l - 2*l).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7785, -7672, -7567, -7470, -7381?\nAnswer: -7300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 5) + (2 - 1 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -44?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**6\/180 - 13*b**5\/60 + 11*b**4\/6 + b**3\/3 + 31*b**2 - 68. Let i(n) be the third derivative of l(n). What is y in i(y) = 0?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.445 - 4.445. Let d = 7 - 5. Let l = -6 + d. Sort l, i, -3 in descending order.\nAnswer: i, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -11\/3, 0.049, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 847799420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*o + 139*o - 22 = -135*o for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 581*h**2 - 425*h**2 - 153*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 18 = -6*c. Suppose 2*x + 5*n = 19, -48 = -3*x - n - c. Calculate the remainder when 65 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 6 + 6 - 3*n**2. Let v(x) be the second derivative of x**4\/3 - x. Calculate v(g(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 657 + 98 = 0. Let c(z) = -z + 149. Let u be c(0). Suppose 0 = -6*t + u + b. Is 23 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(21\/20))\/(9\/(-15)*10\/21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 51 - 189 - 2773*s + 50 + 51.\nAnswer: -2773*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccpddpdccbcdb. What is prob of picking 1 d, 2 c, and 1 p?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -44b7 + 5?\nAnswer: -44b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*w + 2*s, -5*s = -165418*w + 165422*w - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1291*p**5 + 9649*p**3 + 63*p**2 + 16*p - 8433?\nAnswer: -77460*p**2 + 57894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 188 = -640. Let b = 407 + n. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q**2 - 19*q**2 - 2*q - 15*q**2 + 19*q**2 + 0*q.\nAnswer: -38*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -390*f**2. Let a(x) = -6*x**2. Determine 420*a(z) - 6*d(z).\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15981 + 15545 = -109*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 211*p - 11. What are the prime factors of z(39)?\nAnswer: 37, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4081 = 3*i + 2*i, -4 = -2*g. Suppose -81*w = 217*w - 11324. What is the greatest common factor of w and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3353405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/10)\/(((-156)\/1125)\/26). Calculate the highest common divisor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.09482 - 24.02482. What is d rounded to one dp?\nAnswer: -23.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7+39765497\nAnswer: 39765497.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 11, q: 1, a: 1, s: 2}. Give prob of sequence lasl.\nAnswer: 11\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -8*r**4 + 4*r**2 - 106. Let x(v) = -21*v**3 + 5*v. Determine 5*b(c) - 8*x(c).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 97, 212, 373, 580?\nAnswer: 833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 20061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55\/2 - 53\/4*y + 1\/4*y**2.\nAnswer: (y - 55)*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 0 + 0 + (-s + 0*s + 3*s)*(6 - 4 - 4) + 4 - s - 4 - 3 + 3 + s - 77*s + 437 - 437.\nAnswer: -83*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -286 - -290. Find f such that -2*f**3 + 0 + 2*f**2 - 2\/3*f + 2\/3*f**g = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**5 + 2950*f**4 - 774040*f**3 - 38363280*f**2 + 7969286160*f + 420836122080 = 0. Calculate f.\nAnswer: -774, -66, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-4))**(-1\/11) assuming l is positive.\nAnswer: l**(-5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -2. Let i = 0.46 - 46.46. Let z = i - -45.9. Which is the nearest to -2? (a) z (b) 0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -336\/31?\nAnswer: -336\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47.99976 + 48. Round h to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-379)\/3)\/(264\/(-54) - -5). Is (6 + -3 + 4)\/((-3)\/m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44832 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43.019 - 43. Let v = y - 0.01899955. What is v rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**14*q\/(q*q*q\/q**(1\/15)*q)*q**13\/q*q*q\/q**1 assuming q is positive.\nAnswer: q**(361\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 6*v**2 - 10*v - 8. What is g(9)?\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*l - 3*x, -2*x - 10 = -2*l - 3*l. Find the second derivative of 5*s + 0*s - 8*s**4 + l*s**4 wrt s.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 476344571 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21296 and 16.\nAnswer: 21296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -44\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (-1 - (-14 + 4)). Is 2\/i + (-740)\/(-30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1364)\/93)\/(-44)*36\/1*-1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302*u = -336184 - 358080 + 241264. Calculate the smallest common multiple of u and 660.\nAnswer: 16500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1637, 6595, 14861, 26435, 41317?\nAnswer: 59507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - ebbf?\nAnswer: -ebc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q - 19 = -5*c - 13*q, -2*c - 5*q = 4. Suppose -5*z = -4*k + 5*k - 28, c*k - 29 = -4*z. Is 7 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 - 5*q - 7. Let r be i(-5). Let v(o) = 484*o - 4. Let j be v(4). Let d = j + r. What is d rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (222 + 219 - 449)*(6*l**3 - l**3 - 2*l**3).\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + v**2. Suppose -h = -6*h. Let b be m(h). Suppose 2*z - 14 - 16 = b. Solve 18 = -3*w - 3*s - 2*s, -4*s - z = 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6050849323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17044 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 35 = 4*x, 2*x = -2*i + 6*i + 22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001001000 - 100?\nAnswer: 1011001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -5 - -15) + -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2660 + 3870. Which is the nearest to -1? (a) -2\/17 (b) t (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -15*(-2)\/3 + -1. Suppose 2*g + g - w = 0. Solve -g*n - 3*v = -0*v - 9, 17 = -n + 3*v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - f**3 + 12*f**2 - 21*f + 3*f - 26 - 20*f**2. Let r be s(-7). Suppose 12\/5*h - 9\/5 - 3\/5*h**r = 0. What is h?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + j + 49*j - 16*j + 0.\nAnswer: 34*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*36\/(-54).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 35, 4.\nAnswer: 4, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 3*b**2 - 2*b**2 + (b**2 + 3*b**2 - 2*b**2)*(79 - 8 + 11))*(-1 - 1 + 3).\nAnswer: 162*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -89?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + -1)*-1 - -7. Let u(z) = 26*z**3 - 4*z**2 + 5*z - 5. Let c be u(2). Let q = c - 117. What is the highest common divisor of q and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/16 and -93\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33033042 - -30?\nAnswer: -33033012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12046\/1268*(-6)\/57\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 + 61. Let r(a) = 2*a**2 + 1. Let c be r(u). List the prime factors of 1\/(-2*c\/(-54)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 0*d**2 + 0 + 0*d**6 - 10*d + 0*d**3 + 1\/14*d**7 + 0*d**5 - 43\/12*d**4. What is the third derivative of c(r) wrt r?\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 380 + -380.2. What is the closest to 1\/2 in p, -1, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 + 8*m - 3. Let o be (-32 - -43) + 21\/(-1). What is g(o)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19536119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -19*w**2 + 4*w - 4. Let n(r) = 988*r**2 - 209*r + 209. Give 4*n(y) + 209*p(y).\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 1:51 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2. Let a(n) be the second derivative of -8*n**4\/3 + 308*n. Give -a(i) - 24*f(i).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -14*s**3 + 6*s**2 + s + 10. Let j be n(-10). Round j to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 30*x**2 - 84*x + 242. Let l be n(3). What is the highest common divisor of 40 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/81 and 73\/502578.\nAnswer: 1507734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, n: 2, i: 2, g: 5, f: 1, o: 6}. What is prob of sequence gfng?\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27713611 is divided by 37.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19, -20, -7, 20?\n\"Answer: 7*g**2 - 22*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10211*a*j - 48666*j wrt a.\nAnswer: 10211*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 71?\nAnswer: -6\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20833770 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-62)\/(-5)*3\/((-6)\/5). Is -32 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 443611696, 443611694, 443611692, 443611690, 443611688, 443611686?\n\"Answer: -2*b + 443611698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42004 + -21132431?\nAnswer: -21224440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.065, -2, -3\/13, 1\/2, -232\/3, -6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 4:09 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -136 + 88. Let i = -48.8 - l. Let o = i - 1.3. Round o to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 4)*(3*o - o - 4*o) + 25*o + 3*o - 9*o to the form b + z*o and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.46 + -0.06. Let z = 0.4 - l. Let x = 0 + z. Which is the second biggest value? (a) x (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-6) - 0\/(-2). Put 2\/11, k, 3 in descending order.\nAnswer: 3, 2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 720 - 713. Calculate the greatest common divisor of 6 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, j: 2, n: 2, d: 2}. Give prob of picking 1 j and 1 d.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1671 + 1684. Suppose 3*a + 4 = -5*s, 2*a + 4*s - 2 + 6 = 0. Suppose 3*c - a*f = k, -4*c - f - f + 22 = 0. Is 3 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1796*0.06.\nAnswer: 107.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13163986 divided by -598363?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 8 + 26*s**2 as z*s + g + d*s**2 and give d.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 16 = 5*h. Let k = h + 2. Let o = 101 - 92. Calculate the lowest common multiple of o and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -49*o - 275. What is u(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*c - 13. Let i be (-2)\/c - (-288000012)\/30. Round i to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91.884 times -0.3\nAnswer: -27.5652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5296497971 to the nearest integer?\nAnswer: 1743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 338*a**2 + 227*a**2 - 97*a**2 + a as q + u*a + i*a**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46699228*m**3 + 3*m**2 - 874*m - 27958 wrt m.\nAnswer: 280195368*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 374 - 10?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**3 + 48*q**3 + 13*q**3 - 71*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m - 9. Let x(r) = r. Let v(h) = -k(h) + 2*x(h). What is the units digit of v(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - 3 + p + 1 - 1 - p + 1 + (0 + 1 + 1)*(-3*p - 2*p + 4*p) - p - 1 + 1 + 3*p - p + p.\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -90895 divided by -371?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 5, r: 4}. What is prob of picking 1 v and 1 s?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 28*w**2 - 28*w + 20. Let d(o) = -4*o**2 + 4*o - 3. Let s(l) = 20*d(l) + 3*t(l). Let f be s(2). Sort -5, 2, f in decreasing order.\nAnswer: f, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + ((sqrt(187)\/(sqrt(11)*-1))**2 - (sqrt(17) + sqrt(272) + 3)**2)*6.\nAnswer: -2503 - 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*((-19)\/(-5) - -2). What is the remainder when 1\/1*(g + -2) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y - 38. Let o be z(-6). Suppose 14 = o*k + 10. Solve 0 = -3*m - k - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -4. Suppose 0 = -2*s + x - 4. Suppose -3*q + 19 = 5*b, s*q - q + 4 = 5*b. Solve -q*y = -7*y - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9 + -6*(-169)\/78. Solve 2*p - v*m + 16 = 0, -18*p + 3*m = -20*p + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 1670 = -18*c + 14*c, -4*a + 2*c - 1336 = 0. Let y = a + 333. Let l(j) be the third derivative of -5*j**4\/12 - j**3\/6 - j**2. Calculate l(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6820.160053 + 6821.12. Let i = 0.96 - w. Round i to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 226 and 50786042?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281864047?\nAnswer: 281864047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 7, 24, -4, -82, -2 in descending order.\nAnswer: 24, 7, -2, -4, -16, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 9 - 3. Let m(u) = 39*u**2 - 1 - 21*u + 10 + c - 7. Is m(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33554549.\nAnswer: 7, 17, 281971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*u**3 - 156*u**2 + 156*u**2 + 424*u**3 - 213*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6*i - 2*i. Put i, -2\/35, -2\/7 in descending order.\nAnswer: i, -2\/35, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/1163232 and 17\/8694?\nAnswer: 80263008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29341259 is divided by 1079.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 537*s - 3149. Is 24 a factor of j(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23111 (base 5) to base 15\nAnswer: -756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*k**3 - 11446397*k**2 - 35*k + 260676.\nAnswer: -60*k - 22892794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u + 4 + 7 - 24 - 30. Suppose -b - 527 + 540 = 0. Give q(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - s - 133 = -3*m, 2*m - 74 = -2*s. Let q(t) = t**3 - 35*t**2 + 33*t + 34. Let z be q(m). Solve w = -1, 5*d - 5*w - 15 = -z*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/2 + 2857*n**2\/2 - 2016111*n\/2 - 35104473\/2.\nAnswer: -(n - 1437)**2*(n + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxykd. What is prob of picking 1 d and 2 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, 11, 18, -1787.\nAnswer: -1787, 3, 10, 11, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -171, -260?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79*1942498.\nAnswer: -153457342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*n**6 - 630*n**5*s**2 + 12360*n**2 - 2*s**2 wrt n.\nAnswer: -960*n**3 - 37800*n**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 887105340 to the nearest integer?\nAnswer: 29784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - 0.2. Let x = -690 - -3504\/5. Let d = -363\/35 + x. What is the smallest value in q, d, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((5*(sqrt(210)\/sqrt(63) + (sqrt(3000)*2 - sqrt(30))))\/((-2*sqrt(6)*-1 - sqrt(6)) + sqrt(6) + (-2*sqrt(24) - sqrt(6))))**2.\nAnswer: 841000\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from {d: 1, k: 10, g: 1, r: 1, s: 3, o: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 731885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 285*i**2 - 103*i - 1119. Is f(-31) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565 - 480 = -119*z - 93 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - 15 - 10 + 12)*(9*q - 11*q + 18*q).\nAnswer: -64*q**2 - 208*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466185 is divided by 252?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37762 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(-2\/13))\/f)\/f)\/((f*f**1)\/f))**(15\/7)\/((f\/f**0)**(-32)\/(f*f**1*f)**(3\/8)) assuming f is positive.\nAnswer: f**(2965\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 10 = 4*a + 18, 14 = -2*d + 3*a. Sort 3\/4, 6, 3\/2, d.\nAnswer: d, 3\/4, 3\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (25 - (0 + -10 + 12))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 20) + 30 + -58 + 76.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7440351 is divided by 424?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**2 + 3*o - 2. Let z(q) = 9*q**2 + 7*q - 5. Let a(p) = -13*s(p) + 6*z(p). Let h be a(2). Factor h*t + 6*t - 9*t**3 + 5*t**3.\nAnswer: -4*t*(t - 2)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkif when four letters picked without replacement from {k: 3, i: 1, f: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*a + 26 = -18*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 602393852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231010 + 100300?\nAnswer: 331310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8216 + -8215.80726. Round t to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**7\/2940 - v**6\/630 + v**5\/420 + v**3\/3 + v**2. Let a(b) be the first derivative of o(b). Factor a(g).\nAnswer: 2*g*(g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 3*t**2 + t - 31. Calculate y(6).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 71*f + 6218. Give c(-87).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 86501.76 millimeters in kilometers?\nAnswer: 0.08650176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 856 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78a (base 12) to base 13.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7537\/167932 or -1?\nAnswer: 7537\/167932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 53*v - 2. Let a(l) = 105*l - 3. Let n(t) = 3*a(t) - 5*c(t). Let q be n(1). Is 4 a factor of -1*3*q\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3423 + 3475. What is the lowest common multiple of 156 and d?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 737 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1107 = -l - l, 2*g - 450 = -l. What are the prime factors of g?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2100 and 126300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*l + 11 = -0*l, -x - 5*l = -7. Suppose -x*h - 3*h = -390. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46159 is divided by 1784.\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + (sqrt(468) + sqrt(468) + -4*(0 + sqrt(468)) + -2)**2.\nAnswer: 48*sqrt(13) + 1881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*w - 126*w + 2*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19911 - -22698. Calculate the remainder when x is divided by 200.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 118, -0.2, -6610?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1243, -1248, -1253, -1258?\nAnswer: -1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 17*k - 21. Calculate h(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 181 + -187. Let s(b) be the third derivative of b**6\/120 + b**5\/10 + b**3\/6 - b**2. Let o be s(i). Solve -2*n + o = 4*z - 1, 2*n = -10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 + h**4 + 3*h**4 + (3*h - 3*h - h)*(-12*h**3 + 2*h + 4*h**3 + 5*h**3) in the form v + o*h**2 + y*h**3 + i*h + a*h**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 12 - 82. Let s be 1\/2*m\/21. Put s, 5, -0.1 in decreasing order.\nAnswer: 5, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = y - 5*h, -2*y - h - 4 = -0. Let g be y*3\/(12\/(-10)). Let v(l) = 3*l. Let o be v(0). Solve o*m + m = -g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2. Let x(z) = 642387389*z. Calculate b(x(r)).\nAnswer: -1237984672638711963*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -501636 - -0.1.\nAnswer: -501635.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 2*u - 19 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 71*n. Let s(l) = 1570*l. Calculate s(w(o)).\nAnswer: 111470*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -110110100100?\nAnswer: -110110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.323 less than -39119575?\nAnswer: -39119575.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4 = 5*w - 2*w, m - 5*w + 18 = 0. Let p(v) = v**3 + 5*v**2 - 7*v - 1. Let u be p(-6). What is the first derivative of u - z + 2 - 4 + m wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + y - 2*y + 49, -147 = -3*i - y. Suppose 6*n = 2*n + 200. Let h = n - i. Let t(g) = -20*g - 1. Give t(h).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 35. What is the units digit of x - ((3 - 2) + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/22)*p*p\/p**(3\/5) assuming p is positive.\nAnswer: p**(139\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-21) - 1816\/(-14). Let g = q - 92. What is the remainder when g is divided by ((-56)\/(-21))\/((-4)\/(-15))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 108489.2365\nAnswer: 108489.4365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2233.1191 + 2233. Let k = b + 0.113. What is k rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 12*c**2 + 3*c - 1. Let b be a(3). Suppose -b = 5*k - 1. Let v = -3 - k. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -58, -92, -150, -232, -338?\n\"Answer: -12*p**2 + 2*p - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 916.7456106 rounded to the nearest 10?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6388 and 160741244.\nAnswer: 6388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.85 + 0.15. Let g = 7 - y. Let r = 1.7 + -2.2. Which is the third biggest value? (a) g (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/30 and 55\/828?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10039 + 120389\/12. What is the common denominator of b and -9\/64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 h when four letters picked without replacement from chchcchchhccc.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 - -2*1 - 0\/30 is divided by 48?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5861074987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsrfffsxrnfxnx. What is prob of sequence xxr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i = 44*i + 2088. Let y = 109 + i. Let j(o) = -2*o - 10. Let m(g) = g + 3. Give y*m(u) - 2*j(u).\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1575 + 95.5425. Let j = 11.1 + 79.9. Let v = y - j. What is v rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 8*r + 2. Let n be u(7). Let l be (3 + n)\/((-4)\/(-2)). Sort 4, l, -2 in increasing order.\nAnswer: -2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 11:31 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.10273um in meters?\nAnswer: 0.00009110273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 12. Let f(g) = 2*g**2 - 5*g + 4. Let l be f(3). Let a be v(l). Suppose 0 = -0*q + a*q. What is the biggest value in 0.5, 2\/13, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -35*v + 20. Let m(q) = q - 1. Let t(r) = k(r) + 20*m(r). Let w(d) = 2*d. What is t(w(s))?\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/18)\/(17\/(-2))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/3, 6, 0.3542 in increasing order.\nAnswer: -1, 0.3542, 2\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*z**4 + 3*z**3 - z**2 + 9313*z + 2666659?\nAnswer: 8*z**3 + 9*z**2 - 2*z + 9313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/8236045 and -56\/4545.\nAnswer: 74124405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 596, 594, 592?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -117 and -4059?\nAnswer: 474903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/3*(-6)\/(-5). Let u(w) be the second derivative of -w**4\/12 + w**2\/2 + 2*w. Let i(j) = -j**2 - 7*j + 8. Let v(m) = i(m) - 2*u(m). What is v(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/2913004 and -47\/304.\nAnswer: 11652016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9998*h**5 - 20642*h.\nAnswer: 199960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -177 + 217. Solve 5*x - 6*x = 3*k + 20, -3*x = 5*k + c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -990, -986, -982?\nAnswer: -978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 8:33 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/3187563 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103450922?\nAnswer: 2, 51725461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 407332438 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 27, -0.3, 23 in descending order.\nAnswer: 27, 23, 3\/2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqyz when four letters picked without replacement from {s: 2, y: 2, p: 3, h: 3, q: 1, z: 4}.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1 - -1)\/(4 + -2))\/2. Suppose -5*u - 2*z + 270 = q, 3*u - 270 = -2*u + 3*z. Suppose 55*k - u*k - 9 = 0. Solve 8*w = 5*w + k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-3\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 963*r**2 + 964*r.\nAnswer: -r*(r - 964)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 4:30 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (28\/(-16))\/((-1)\/4). Suppose -5*i + 2*d + 23 = 0, 2*i - 3*d - j = -0*d. Suppose 0 = -5*y + 150 - 120. Which is greater: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from {k: 2, o: 2, e: 4, p: 3, q: 3, j: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1399*t + 2061*t = -249120 for t.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(((-20)\/90)\/(16\/(-36))). Solve -41 + 41 = -o*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 5\/2*n**2 + 1\/3*n**3 - 215*n + 0. Let b(z) = -2*z - 6. Calculate -6*b(t) - 7*s(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.8 + 9. Let d = 1.9 + j. Which is the third biggest value? (a) -2\/11 (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6)\/(u\/u**(-5))*(u**(-2\/5)*u)\/u*u**(-4)*(u\/(u\/u**(-2\/7)*u)*u**(-5)*u)\/(u\/(((u\/u**1)\/u)\/u)*(u**(4\/3)\/u)\/u) assuming u is positive.\nAnswer: u**(-2522\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*p = -7, 4*p - 8 = -2*x - x. Suppose x*g - 165 = 103. Suppose 3*i = 4*l + g, -5*i + 2*l = -35 - 58. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2618 divided by 374.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 13*u - 15. Let r = 16 + -11. Suppose 5*c + 5*g = -50, 0 = -r*g + 5. List the prime factors of v(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00033482 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 57. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 4*p**2 - 3*p. Let z be y(-3). Let c be -1*1\/(-3)*6. Solve z = c*n + n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-20))\/(n\/(n\/(n\/(n\/n**(-13))))*n) assuming n is positive.\nAnswer: n**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2299721 + 1?\nAnswer: -2299720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from fggflgggmfml.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -3*q**4\/2 + 4*q**3\/3 + 7*q**2 + 4*q + 60. Find k such that t(k) = 0.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-14) - (-330)\/77. Suppose 8*p + 25 = 3*p + 4*x, p + 21 = t*x. Sort -4, -6, p in decreasing order.\nAnswer: p, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 i when four letters picked without replacement from fiifininf?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 1 - (-35)\/7. Suppose 5*v = 4*r + 447 - 42, j*r = 3*v - 256. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 24*w**2 + 388*w + 9300. Determine j(-24).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**7*v*v**4*(v**(-2\/3))**7*(v**(-1))**8\/((((v\/v**(-1))\/v*v)\/v)\/v*v)**(2\/3) assuming v is positive.\nAnswer: v**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550 + 283 = -7*d + 3*u - 263, 3*d = -4*u + 44 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 9. Suppose -f = -0*f. Suppose f = g*n - 13 - 2. Solve -n*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95 + 90. Which is smaller: k or 9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*b - 4*l + 22, 0 = 2*l. Let f(y) = 17*y - 8*y - b*y. Let z(t) = -22*t**2. Give f(z(k)).\nAnswer: 44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 67 - 17 = -2*u, 0 = 2*w - 3*u + 79. Let s = w + 80. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 3 = -14*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f = 13*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 203 + -204.49. Let r = -0.71 + w. Is r greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -149534 bigger than -1196281\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c**2. Suppose 0 = -r - 3 + 5. Let m(z) = -z - 1. Let b be m(-5). Let y(q) = b*q**2 + 2*q - 2*q**r - 2*q. Determine h(y(k)).\nAnswer: -28*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**3\/3 - 13. Let h(a) = a**2 - a. Let w(c) = 10*c**2 - 15*c. Let t(r) = 15*h(r) - w(r). Give t(s(y)).\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 293148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x\/((x\/(x\/x**(-1\/7)))\/x))\/x)\/((x*x**(-6))\/x))\/((x*x*x*x**(1\/5))\/(x**(2\/3)\/x)) assuming x is positive.\nAnswer: x**(589\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**4\/54 - 5*i**3\/9 + 56*i**2\/9 - 2*i + 102. Find t, given that b(t) = 0.\nAnswer: 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 616 + -517. Suppose 0 = -3*j + 375 + h. Suppose -160 = -4*p - 0*p. What is the remainder when j is divided by p?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -10*i + 119. Calculate the highest common divisor of i and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82629 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1190)\/(-476)*(-1)\/(90\/8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*z + 9. Suppose -z*f + 2*h = f - 16, -2*h = 2*f + 4. Solve -4 = -f*m - 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 8 = 2*d, -5*d - 16 = h + 15. Let z(o) = -735*o - 4. Is z(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4226, -2967, -1708, -449, 810, 2069?\nAnswer: 3328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498075.\nAnswer: 3, 5, 29, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/(v*v\/v**(4\/19))*v)\/v**(6\/13))\/(v\/(v*v\/(((v\/((v\/(v**(3\/13)*v*v))\/v)*v)\/v)\/v))*v**19) assuming v is positive.\nAnswer: v**(-4565\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 + 49*f**2 - 56*f**2 + 7*f**2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 + 16*g + 2. Calculate the remainder when n(-11) is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 13*m**3 + 6 - 1 - 5 in the form v*m**3 + r + z*m**2 + y*m and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(405) + sqrt(5) + sqrt(125)*2) - (sqrt(5) - (sqrt(5) - -3*sqrt(10)\/sqrt(2)) - (sqrt(80) + -2)))**2.\nAnswer: -904*sqrt(5) + 63861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6256 and 1768.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -116, -32, -2, 0 in descending order.\nAnswer: 0, -2, -15, -32, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 24*h + 123. Let d be i(17). Solve 0*z + d*z - 11 = 5*q, 14 = 2*q + 3*z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64992979 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103002123 (base 5) to base 10.\nAnswer: 437788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 1 = -3*q, 18 = 5*y - 3*q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35647595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1576252842 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(500) - (sqrt(500) + 2*sqrt(500))) - (sqrt(500) - (-2 + 2*sqrt(500))))**2 + 4 + (sqrt(500) + -1 - sqrt(500)) + 2.\nAnswer: 200*sqrt(5) + 12509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 20 = -40. Let b = 223 - 148. Let y be (-4)\/(-6)*b\/i. Solve 0 = -2*a - y*d - 13, d = -3*a - d - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**5 - 53*g**3*n**2 - 7*g**2*n + 10*n**2 wrt g?\nAnswer: 120*g**2 - 318*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-165 + 165 + 5*b)*(-4 - 1 + 3 + (0 + 4 - 1)*(-2 - 1 + 0)).\nAnswer: -55*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -864*w**3 - 24*w**2 + 11*w + 37 + 1733*w**3 - 912*w**3 wrt w.\nAnswer: -258*w - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 835, 3061, 7431, 14659, 25459, 40545, 60631?\nAnswer: 86431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4012099250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.71 - -0.29. Let k = 16 - r. What is the third smallest value in -0.06, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -7. Let y = 3331\/1010 - -1\/505. What is the common denominator of m\/(-12) - 20\/(-33) and y?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 5:49 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (630\/4)\/(-9)*2. Let s = -32 - o. Solve 9 = -p - 2*l, 5*l - 6*l = -2*p - s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 5*x**4\/24 - 3*x**3\/2 - 414*x**2. Give l(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -2 - 3\/(-1). Let s be 0 - (j\/2 + 1). Let i(t) = -t - 6. Let q be i(-3). Is s at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 1. Calculate the remainder when k(20) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 43.3\nAnswer: -129.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q + 6. Let w(s) = 14 + 13*s + s + 0*s**3 - 4*s**2 - s**3 - 8*s**2. Let r be w(-13). Let c be 2 + 1*(r - 8). Determine t(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347302127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9635228*y + 25293693.\nAnswer: -9635228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/5 + 361*q\/5 + 1092\/5.\nAnswer: -(q - 364)*(q + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 163269 + -104925. Let t = j + -5950943\/102. Calculate the common denominator of 133\/24 and t.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 56\/16 - (-1554)\/12. Is (-19 - -14) + 2 + n + 0 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -5\/2, -2636, 3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -18. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876*g - 67*g = 35071 + 28031 for g.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1502*w + 44*w - 25*w + 650*w.\nAnswer: 2171*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + 2*c - 2*c + (-4 + c**2 + 4)*(2*c - 2*c + 2*c) - c**3 + 2*c**3 + 0*c**3 - 2*c**2 - 3*c**3 + 2*c**2 to b + d*c**2 + p*c + f*c**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**1)**(-2\/47)\/((r**(-6)*r)\/(r\/(r\/r**5)*r))*((r\/(r*r*r**(1\/3)*r))\/r)**(-5\/2)\/(r**(-1))**(4\/9) assuming r is positive.\nAnswer: r**(8330\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -13*w**3 + 2*w + 1. Let y be 6*(-3)\/(-45) - 28\/20. What is m(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 22 = -6. Solve -8*o + k = -6*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4)\/n*n**8)**(-8\/3)*(n**(-2\/5))**(-37)*(n\/((n\/n**(-2\/9))\/n))**(-2\/103) assuming n is positive.\nAnswer: n**(-14902\/4635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 372381560 rounded to the nearest one million?\nAnswer: 372000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 674264 to the power of 1\/2, to the nearest integer?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 2:15 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 1. Let g(d) = -3*d + 4. Let k(i) = 2*i**2 - 25*i - 14. Let s be k(13). Let y(q) = s*g(q) - 4*w(q). Determine y(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*k = 53*k + 756. Let w = k - -378. Determine m so that w + 1\/12*m + 1\/4*m**3 + 1\/4*m**2 + 1\/12*m**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*w = 844. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*o - 357 = 2*r, 2*r - 387 = o. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -45. Suppose -2*l + 25 = 5*u, u - l = 3*l - i. Solve -4*x = 4*v - 24, -20 = -v - u*v - 3*x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31122, -26649, -19192, -8751, 4674?\n\"Answer: 1492*b**2 - 3*b - 32611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2052 = 153*v + 3762 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06138 + 0.071. Round i to 4 decimal places.\nAnswer: 0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + -7)\/(-20) + 10\/4. Solve g - k*g + 2*c = -2, -g = -4*c - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*l, -3*n + 122 = 2*n - 3*l. Let v be (-1)\/5 - (2280\/n)\/(-6). Suppose 16*c - v*c - 191 = 0. List the prime factors of c.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 1:51 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 99 divided by -9186\nAnswer: -33\/3062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4509430 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 199815999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**3 - 13*x**3 + 2*x**3.\nAnswer: -22*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 + -202?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i - 1. Let r = -18 + 10. Let x(q) = 33*q - 14. Let y(c) = 22*c - 9. Let f(w) = r*y(w) + 5*x(w). Suppose 0 = 4*j - 33 + 13. Give j*f(m) + 8*u(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 116, 163, 194, 203, 184, 131, 38?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**3\/8 - 3423*g**2\/8 - 977037*g\/8 - 973617\/8 = 0. What is g?\nAnswer: -589, -551, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 243, 816, 1743, 3030, 4683, 6708, 9111?\nAnswer: 11898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 677057.071 rounded to the nearest ten?\nAnswer: 677060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d - 14*d + 2 = 5*c, 0 = 2*c - 2*d + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6069551 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 37, 44, 17, -44?\n\"Answer: -17*j**2 + 58*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 620 = 4*m + m. Suppose -m - 91 = -5*r. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5 + 285*k**4 + 9969*k**3\/4 + 2279*k**2 + 552*k = 0. What is k?\nAnswer: -276, -8, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzzrrrrzzrzrrr. Give prob of picking 1 z and 3 r.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ildjcdjr. What is prob of sequence dljr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*p = 2218*p + 45475 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 3) + 20*(-40)\/(-50). Suppose f*x + 7509 = 19677. What are the prime factors of x?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -5\/6 (b) 7 (c) -0.4 (d) -242 (e) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 470647*c*k - 738*k + 423 wrt c?\nAnswer: 470647*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 8*r**2 + 32*r - 164. Calculate i(10).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13961 is divided by 349.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2 + 99*n + 331. Let i be c(36). Suppose 0*y - 6 = -3*y - 5*b, -6 = -3*y + 5*b. What is the biggest value in 5, i, y, 3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -1114.\nAnswer: 5\/1114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**2*((j*j**(-3\/13))\/j)\/j*(j**(-1\/4)\/j)\/j**(1\/18) assuming j is positive.\nAnswer: j**(217\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w**2 + 111*w + 11. What is b(19)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*y + 454. Suppose 2*g = 115 + y. Let f = g - 253. Round f to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 157 = -2*o, o + 4*o + 398 = -3*f. Let p = o - -84. Solve -5*v + 6 = -k - 2*k, -3*v - 6 = -p*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*u - 51*u - 693. Does 35 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - 34. Let x = 13 - p. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4*w = w - 21, r - 13 = 4*w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 1024 = -4*g. Let x be 22\/(-88)*g\/(-10). Factor -16\/5*k + 2\/5*k**2 + x.\nAnswer: 2*(k - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6508?\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5442.92182 rounded to the nearest 10?\nAnswer: -5440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 2*y - 4*y)*(6*y**4 + 22*y - 22*y).\nAnswer: -12*y**5 + 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -138*u + 11*u - 145*u + 5168 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 4*a**7\/21 - 2*a**6 + 36*a**5\/5 - 9*a**4 - 5*a + 14. Factor j(i).\nAnswer: 4*i**2*(i - 3)**2*(2*i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0488, 2\/241, 0, -18 in descending order.\nAnswer: 0.0488, 2\/241, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r = 96 + 49 + 5 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*z - 3*g, 5*z = -4*g + g + 19. Let c be (z\/60)\/(58\/(-30) + 2). What is the third biggest value in 5\/2, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -968 (b) 3 (c) -0.11 (d) 6 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - 3.7. Let b = -52 - -77. Let d = -24.5 + b. What is the nearest to 2\/7 in d, -2, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 3*s**2\/2 + 61*s + 62. Suppose -3*i - 20 = -2. What is the tens digit of r(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007384 to six dps.\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 13. Give p(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 6 + 3)*(-2*y + 4*y - y) + 0*y - 2*y + 0*y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 220.645 rounded to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2. Let d(g) = -33611*g. Calculate d(k(r)).\nAnswer: -100833*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2552517, -2552524, -2552537, -2552556?\nAnswer: -2552581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**4 + 1 - 1 + (-3*k**3 - k**3 + 3*k**3)*(2*k + 3*k + 0*k) to t*k**4 + i*k**2 + f + n*k**3 + w*k and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16298692.\nAnswer: 2, 823, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.1905, -27, 2\/15?\nAnswer: -0.1905","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, -2, -222 in increasing order.\nAnswer: -222, -11, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 4:00 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -415043970 divided by 18865635\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-8))\/1*-4. Suppose -5*h - 2*w - 24 = 0, w + 12 = -h - v*w. Let k = -2 - h. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47896234 is divided by 2280773.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.500292?\nAnswer: 1.500876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 95. What is the remainder when d is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = q + 4. Suppose s + 3*u = -32, -2*s + 7*s + 80 = 5*u. Let n be (-14)\/s - (-1)\/(-2). What is the closest to q in 5, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -2)*(6 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135615 + -0.04724598?\nAnswer: 135614.95275402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.33 - -0.07. Let y = d - 0.4. Let a = 0.21 - 0.11. Which is smaller: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 25 - 13 = 0. Let m = 291 - 309. Sort m, c, -5 in descending order.\nAnswer: c, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 8:24 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*t + 45 = -13, -28 = -2*f - 3*t. Solve -4*k + 5 = f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/16)*u)\/u**(-2\/17)*u**(2\/5)*u**6\/u assuming u is positive.\nAnswer: u**(8779\/1360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 - 73. Let n = l + 9. Suppose 48 = -b + n*b. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73203819*y**3 - 42386149*y wrt y.\nAnswer: 439222914*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31671 is divided by 15811?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 15. Let b be w(0). Let s be ((-60)\/(-14))\/(3\/21). What is the highest common factor of s and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (3 + 6)\/(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/11, 3.5, -2\/23, -1 in decreasing order.\nAnswer: 3.5, 2\/11, 0, -2\/23, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 248752593 and 839?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 12*a - 36. Suppose 72 = 3*d + 4*r, 0 = 3*d - 2*r - 0*r - 90. List the prime factors of b(d).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 1\/3*k**2 + 7*k + 0 + 0*k**3 - 1\/24*k**4 - 1\/120*k**5. Factor x(d).\nAnswer: -(d - 1)*(d + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, l: 9, t: 4}. What is prob of picking 3 l?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 2\/27*z**3 + 0*z - 1\/18*z**4 - 6 + 0*z**2. Find u such that c(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = j - 6296, -257*f - 3*j - 3169 = -256*f. Is f at least -3150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 8*i + 565 + 10*i - 564. Let r be -3*(-1)\/(12\/64). Is u(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38469905 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 57\/(-39) + -79 + 532860\/7020 - -2.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4939*a + 0 - 11178*a - 11.\nAnswer: -16117*a - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4875 divided by -887?\nAnswer: -4875\/887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (27 + -15 - (18 + 10))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6742?\nAnswer: 2, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104101789 is divided by 34700595.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-9)*(-18)\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/((h\/h**(-3\/14)*h)\/h)*h*h**17 assuming h is positive.\nAnswer: h**(249\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 421212 (base 10) to base 12\nAnswer: 183910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3)*((-210)\/(-4))\/(-7). Suppose n*g - 30 = -5*h, -2*h + 2 = 2*g - 5*h. Solve r + 17 = -5*m, 0 = -r - g*r - 3*m + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15565 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1124002 (base 8) to base 9\nAnswer: 514530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.919 or 833087?\nAnswer: 833087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -17*h + 18*h - 7 + 4. Determine i(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186373 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21 - 0)*1\/3. Let h be 24\/(-10) + 2\/5. Let d = h + w. Solve -t + 3*s = -10, t = d*t - 2*s - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152160 - 153525 = 39*t for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 2*q + 3 - 2*q)*(263 + 3*q - 330 + 242).\nAnswer: -3*q**2 - 166*q + 525","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-4) - (-2 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1678974 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 10640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12525877*z**3 + 8181582*z**2 - 1 wrt z?\nAnswer: 75155262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 696663 + -28936. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -618 + 615. Let n = 0.1 - -0.9. What is the nearest to n in h, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-1) + 438\/(-69). Let o = 9423\/46 + f. Let s = -2869\/14 + o. What is the common denominator of s and 49\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 72 = -8*y. Suppose 13*g - 2 = y*g. Which is the nearest to 1? (a) g (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 12. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22440 - -21666. Is -22\/5 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 8*c + 2. Let q be w(7). What are the prime factors of (q - 11) + 26 + -1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 1669221?\nAnswer: 1\/556407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - t + 19 = 0, t - 4 = -z - 3. Let y = 2.4132 - 6.4132. Which is the nearest to -0.1? (a) y (b) 0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*l = -6. Suppose c - u + l - 3 = 0, -3*c + 5*u = -5. Suppose -3*i + 151 - 16 = c. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -926*-555\nAnswer: 513930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -142270*153\nAnswer: -21767310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -534349, -1068697, -1603045, -2137393, -2671741?\nAnswer: -3206089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10*j - 94. Let v be m(9). Let s(k) = -4*k**2 + 2*k. Let c(d) = 8*d**2 - 5*d. Determine v*c(n) - 10*s(n).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1426*r**5 + 4*r**4 + 3861*r**2 wrt r.\nAnswer: -85560*r**2 + 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 7*s + 7. Let y be -5*(-9)\/(225\/70). Suppose -y = i + i. Give d(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/289*(-264)\/396. Is -3 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -367*b - 39. What are the prime factors of f(-2)?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 + 222*a**2 - 3042*a + 272. Determine f(95).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 3*i + 7. Let g(o) = -2*o + 2. Let w(r) = -5*g(r) + m(r). Give w(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5042778 divided by -51?\nAnswer: -98878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 660028288*q**2. Let v(l) = -3*l**2. Calculate v(d(w)).\nAnswer: -1306912022880632832*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 + -152. Let j = 4716 - 4799.64. Let n = p - j. What is n rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*sqrt(208) + sqrt(208) + 1 + (2*sqrt(208))**2 + -5.\nAnswer: 12*sqrt(13) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 6 = 4*c, -7*u + 7*c = 2*u + 2*c + 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*1*6\/(-9). Suppose -4*a + 2*a + 4 = 0. Let c be (-1)\/((-2)\/(a + t)). Solve c*m - m - 5 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1061649 and 54774.\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 e when three letters picked without replacement from {x: 3, b: 3, e: 1, t: 1, v: 1, i: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.07156563 rounded to 2 dps?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 5*y**4\/6 - 4*y**3\/3 - 8*y**2 - 165*y. Let m be d(-2). What is the highest common factor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -1, -2, 0 in decreasing order.\nAnswer: 31, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/7 of a week?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, 549, 2916 in increasing order.\nAnswer: 57, 549, 2916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(-9)\/(w**(-3\/7)*w*(w\/(w*w**(-7)\/w))\/w) assuming w is positive.\nAnswer: w**(-116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 3:11 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/21 and -149\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**4\/10 - 4289*d**3\/5 + 788879*d**2\/10 = 0.\nAnswer: -8669, 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 296.7 and 5583?\nAnswer: 5286.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (1 + -3 - (1 + -1)) + (-6004 - -6004).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 15*y - 69. List the prime factors of w(20).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4192233388?\nAnswer: 2, 7, 17, 29, 83, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 107*f**2 - 17*f + 28. Let j be d(4). Calculate the common denominator of -81\/76 and (969\/j)\/((-2)\/(-8)).\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 242, 2, -71553 in decreasing order.\nAnswer: 242, 2, -71553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -22. Let n = 20 + -15. Calculate the remainder when c is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1558 + 4675\/3. Which is the third smallest value? (a) -1 (b) -18.3 (c) 1 (d) x (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4636310 and 112350?\nAnswer: 69544650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + sqrt(343) + (sqrt(343) + 1 - sqrt(343)))**2*-4.\nAnswer: -1376 + 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 601, 2, 155?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 968594268?\nAnswer: 2, 3, 59, 1368071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*y + 37543 = 39268 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1\/(-3)*(-2)\/10.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/8*(-1)\/2. Put -2, u, -1 in decreasing order.\nAnswer: u, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**2 - 1155*f - 3492 = 0. Calculate f.\nAnswer: -3, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, h: 1, f: 1, z: 7, x: 2}. Give prob of sequence fh.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102436?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00032769 to six decimal places.\nAnswer: 0.000328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**6\/30 + 13*j**5\/15 - 17*j**4\/2 + 42*j**3 + 120*j**2. Factor p(q).\nAnswer: -4*(q - 7)*(q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78549.29 tonnes in milligrams?\nAnswer: 78549290000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*v - 6*v. Let a be ((-30)\/20)\/(v\/(-44)). Let i be (-180)\/a + 4 + 2\/(-11). Solve z = -2*z + i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 167\nAnswer: 1\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 19*m**2 + 21*m - 83. Calculate p(6).\nAnswer: 943","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 6. Let p = 3 + d. Suppose -4*b - 16 = 0, 3*s + 3*b - p = 1. Solve -s = -4*u + 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 485*k + 46498. Determine m(82).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96121 and 16841411?\nAnswer: 5059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/4*((-3)\/((-72)\/92))\/(4\/(-16)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2334 = -5*a, -101*n - 938 = 2*a - 98*n. Let r = a - -471. Solve -4\/9*f**2 + 2\/9 + 2\/9*f**4 - 2\/9*f + 4\/9*f**3 - 2\/9*f**r = 0 for f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.321 - 3.679. Which is the third biggest value? (a) 54 (b) -5\/4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/6)\/(4\/204). Let w(s) be the first derivative of 9*s**2\/2 - 35*s + 2730. Is w(y) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from {x: 1, z: 1, u: 1, d: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w**2 + 2*w + 1. Let f be x(-1). Let r(c) = -30*c - 224. Calculate the remainder when 142 is divided by r(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.4 - -83.4. Let r = 68.4 - d. Let p be (-51)\/(-108) + (-4)\/18. Which is the third biggest value? (a) r (b) p (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 52, 96, 140, 184, 228?\n\"Answer: 44*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -208.83 + 210. Let k = -3.69 + d. What is k rounded to 1 decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -170, 4, 2, 18 in ascending order.\nAnswer: -170, -2, -1, 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -203230102 (base 4) in base 11?\nAnswer: -9a924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 27*j**5 + 64*j**4 + 15*j**3 - 57*j**2 - 45*j - 8. Let z(m) = m**5 + m**3 + m**2 + m. Let c(d) = -o(d) - z(d). Find s such that c(s) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 3583134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(3888) - ((sqrt(3888)*2 + sqrt(3888))*6)**2) + 5 + 5 + 1.\nAnswer: -1259704 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1640.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -21097*x**2 + 8*x + 12. Let p be k(11). Let r be (3 - 0) + -3 - p. Let h = r + -3922637. What is h rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 156 = 136. What is the hundreds digit of (h\/(-8))\/((-4 + 8)\/(-624))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 42\/13 (b) 20 (c) -21 (d) -228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 2:18 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50444\/7 + 7206. Sort 3, 2, 1\/11, r in descending order.\nAnswer: 3, 2, 1\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -2 + 8 + -10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-1))\/((-24)\/(-24)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23.2 * 82\nAnswer: -1902.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 0 - -3)*2. Let y = a - 2. Suppose 0 = y*p + 4*c - 68, 0 = -0*p - 3*p - 5*c + 61. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/11))**(-4\/5) assuming l is positive.\nAnswer: l**(8\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*d**2*j - 131*d**2 - 9*d - 15198*j with respect to d.\nAnswer: -12*d*j - 262*d - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 122228*k**2*x**3 + 23*k*x**3 + k*x**2 - 768*k*x + 2*x**3 wrt k?\nAnswer: 244456*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -357 divided by -1?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 11*b + 3 + 560*b**3 - 3 + 0*b**2 - 3*b**2. Let g be a(-8). Round g to the nearest ten thousand.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1237 - -86755?\nAnswer: 85518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10324516 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*z - 171*z = -24. Solve -10*n + 13*n = z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/2 + 240*y**2 + 29274*y + 113288.\nAnswer: (y + 4)*(y + 238)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 71*z**2 - 6*z - 344. Let w be m(-71). Let t = 207 + -124. Is t > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 4*o**2 - 78*o - 13. Calculate n(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1800661299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3568, -14796, -33508, -59704, -93384?\n\"Answer: -3742*h**2 - 2*h + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2*s)*(0*s**2 + 3*s**2 - s**2) + 16*s**3 - 60*s**2 + 60*s**2 to o*s**3 + t*s + h + x*s**2 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 5:40 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 209 - -149. Let i = j + -64. Does 37 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 smaller than 178499\/1692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207978, 207940, 207876, 207786?\nAnswer: 207670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82970.\nAnswer: 2, 5, 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k + 2. Let l be p(0). Suppose 4*f - 5*v = 27, -20 = -f - l*f + 4*v. Solve 0 = -2*h + 6*h + f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 479 in -3, 2.3, 2\/429?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -5 (c) -4 (d) 140992\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 - 12*u**2 - 31*u + 5. Give h(-9).\nAnswer: 770","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.9376248*-1\nAnswer: 0.9376248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110377 is divided by 42.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112875 and 7374500?\nAnswer: 22123500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-33)\/(-63))\/((-20)\/(-344)) - 9. Let n(f) be the second derivative of 0 + 4\/7*f**3 - 2\/35*f**5 - 9*f + 1\/21*f**4 - g*f**6 - 9\/7*f**2. Factor n(d).\nAnswer: -2*(d - 1)**2*(d + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1862 is divided by 55.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*l = -3*l - 4, 3*v = -l + 16. Solve 3*i - 29 = 5*r, -v*r + i = -3*i + 28 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-13 - -36) - 31 - (11 - 3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21458520?\nAnswer: 2, 3, 5, 37, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -48)*(6 - 2)*(8\/16 + -1)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -123 (b) -83.9 (c) -1\/3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -880, 4, 0, -5, -26, -68 in ascending order.\nAnswer: -880, -68, -26, -5, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.1 - 6.3. Which is the second smallest value? (a) -2 (b) 0.2 (c) 0.5 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*s = s - 30, -4*s + 14 = a. Suppose a - 52 = -5*g. Find the second derivative of 2*k - g*k + 3*k - 2*k**3 wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11973 is divided by 831.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 61, -5.\nAnswer: -5, -1, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(1\/(-1))\/(21*10\/1155)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39546.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 286 and 594?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x + 38. What is h(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y + 5. Let s(h) = -h + 1. Let p(q) = 5*s(q) - x(q). Let a(j) = -4*j + 5*j + 0*j + 4*j. What is p(a(u))?\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1068 = -2*j - 4*k, 14*j - 1069 = 12*j - 5*k. Let c = j + -529. Solve c*t - 2 + 18 = -a, 2*a = -8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 7:25 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 u when four letters picked without replacement from {x: 2, n: 2, e: 3, u: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -24*z + 116 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -9. Suppose -q + 5*p - 14 = 0, -5*p = -w*q - 0*q - 2. Are 6 and q non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-48)\/(-45)*5\/14. Let n = -2\/7 - h. Let i = 2\/22561 - 45156\/383537. Which is the second smallest value? (a) i (b) 0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000216474 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6671525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26616?\nAnswer: 2, 3, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34558402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4dd + -288c?\nAnswer: -2d8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7 - -0.5. Let b = 2194.93 - 2199.93. Put b, 5\/6, k, 1 in descending order.\nAnswer: 1, 5\/6, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + -1 + -1 - -1. Suppose -2*j = b*d + 3*j + 2, 5*d + j - 8 = 0. Solve 5*u + x = -d*x + 40, -25 = -5*x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-224082 + 224083 + 15*c - 2365*c)*(c**2 - c**2 - c**2).\nAnswer: 2350*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17 - -4*12\/(-16). Let m(k) = -9 - 6 - j + 10 - 16*k. Is m(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 6*a**2 - 125*a - 766. Determine k(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*b + 224*b - 6*b - 56*b - 57*b.\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 9*r - 6. What is i(14)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 7*y**2 + 20*y + 4. Let u be a(-3). Suppose -2*o + 196 = u. What is the greatest common divisor of 648 and o?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxmxxxmxxmxxmxxm. Give prob of picking 4 m.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = r - 2. Solve 5*z + 15 = 5*j, -j - 3*z + r = -5*z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 39. Does 43 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (0 + 10 - (63 - (1 - -25)))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*p**3*s**2 + 86857056*p**3 + 434*p*s**2 + 994*p*s wrt s.\nAnswer: 34*p**3*s + 868*p*s + 994*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260689 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 347787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5373*o + 6664*o + 1692*o + 5159*o + 14948*o in the form i*o + z and give i.\nAnswer: 33836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2. Let b(v) = -v**3 + 14*v**2 - 8*v + 1. Let w(y) = -b(y) - 6*l(y). Suppose 8*n - 29 = 3*n + 2*p, 3*n + 2*p = 27. List the prime factors of w(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 + 36*l**2 - 28*l**2 + 31*l**2.\nAnswer: 39*l**2 - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.6 - 0.4. Let k = 30 - 30. Let u be 2\/30*-2*-5. Which is the closest to k? (a) 0.3 (b) p (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 6.97 (c) 0.14 (d) 91 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxqtvixqvxjjqvq. What is prob of sequence tq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.076 - -9.589. Let v = -20 + d. What is v rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 + 12*q**3 + 6*q**2 - 12*q - 9.\nAnswer: 3*(q - 1)*(q + 1)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 504 + -518.288. Let g = 0.112 - j. What is g rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1023102 + 10?\nAnswer: 1023112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -171, -298, -535, -918, -1483, -2266, -3303?\nAnswer: -4630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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 6b (base 13) in base 11?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1743758070 to the nearest one million.\nAnswer: -1744000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.267 + 5554.827.\nAnswer: 5556.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19664113691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -467510384.\nAnswer: -467510387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/53, -2, -0.3, -3, 3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(7\/2)*y*y*y**(7\/3))**(13\/5) assuming y is positive.\nAnswer: y**(611\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -p + 84, -8 + 20 = -a + 5*p. Let o = 17 + a. Solve 5*w = -2*m, o = 3*m - 4*w - 0*w - 23 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -695 - -694. Let t(x) = 2*x**2 + 5*x + 6. Let i(z) = z. Let o(h) = l*t(h) - 5*i(h). Let p(q) = -q - 1. What is o(n) - 8*p(n)?\nAnswer: -2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7188835, 14377671, 21566519, 28755385, 35944275, 43133195?\n\"Answer: l**3 + 7188829*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z**3 - 8*z**2 - 3*z + 4. Let c(r) = 6*r**3 - 6*r**2 - 3*r + 3. Determine 4*c(p) - 3*t(p).\nAnswer: 3*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 5\/546 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15087 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 14*p - 12. Suppose -p*r + r + 5*m = -393, -262 = -2*r - 2*m. Suppose -4*l + r - 43 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -1.5. Let f = -1.7 + c. Let w = -1 - -1. Is w smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**2. Let c(h) be the second derivative of h**4\/6 - 8*h. What is n(c(r))?\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**3\/21 - 46*l**2\/7 - 6088*l\/7 + 533000\/21 = 0.\nAnswer: -82, 26, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/10)\/((-13)\/39)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6 + 0*y - 3*y**2 + 0*y - 1 with respect to y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 21*s**2 - 1. Let h(v) = 2*v. Calculate t(h(i)).\nAnswer: 84*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4))\/((-9)\/(-216)*-4). Suppose -q - 2*b + 5*b = -1169, -3507 = -d*q - b. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12879598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -2*h**3 + 52*h**2 - 1408*h - 6121. What is the first derivative of f(t) wrt t?\nAnswer: -12*t + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 3\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1277 is divided by 146.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2535 = -1004*p - 1575 + 42212 for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/8 (b) -4 (c) -1 (d) -2\/7 (e) 1\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 17 - (-2 + 3 + -1). Let n = g + -9. Factor -8*o**3 - o + 11*o**3 - n*o + 6.\nAnswer: 3*(o - 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 35.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1711\/24, 5, 1202 in decreasing order.\nAnswer: 1202, 1711\/24, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1516)\/(-10)*((-63)\/(-13) - (-28)\/182). Is f smaller than 760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 227843768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -235*u**2*x + 134*u**2 - 3910*u - 144166843*x wrt u.\nAnswer: -470*u*x + 268*u - 3910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (40\/(-5))\/(-24) + 16\/6. What is the highest common factor of l and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50.3 + -6.9. Let h = 5.6 + j. Let v = h + -54. What is the closest to -2 in -4, -0.7, v?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/2)\/((15\/2)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00110813159 to six decimal places.\nAnswer: -0.001108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22247 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.08 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000685896 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -426441 take away 0.06?\nAnswer: -426441.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 7:19 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -14.03673?\nAnswer: -13.63673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**3*o*x**2 + l**3*o*x + 176*l**3*x**3 + 2*l**2*x**3 + l**2 + 2*o*x - 138 wrt l.\nAnswer: 6*o*x**2 + 6*o*x + 1056*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77\/47 - 1717\/329. Let r be (-18)\/(-42) - (-705)\/588. Let k = 6\/49 + r. What is the common denominator of k and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 28789285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*a - 0*u - 364, -3*u = 5*a - 449. What is the greatest common divisor of a and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -470*j**4 + 8487*j**3 - 5945509*j wrt j.\nAnswer: -5640*j**2 + 50922*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/(-20)*(-14910)\/(-1988)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (560\/90 - 6)\/(2\/3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 808, 810, 814, 820?\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 2*x**2 - 975*x - 4823. Calculate i(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 5*c + 27, 0 = 3*u + 3*c - 9 - 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 3*v**2 - 4*v + 3. What is o(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 13*z**2 - 61. Let r(b) = 7*b**2. What is r(g(s))?\nAnswer: 1183*s**4 - 11102*s**2 + 26047","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -11*y**3 - 2800*y**2 + 12694*y + 805. What is m(-259)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = x + x + 9054. What is the highest common divisor of 12 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + -10 + 8 + 3 + -2. Suppose 5*l + 5050 = 7*l - n*k, 5005 = 2*l + 5*k. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from rrrxxxffffrrxfrrfrfx?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 180\/187 - 8\/11. Let i be (-16632)\/(-1904) + (-68)\/8. Solve 0 - i*z**3 + 2\/17*z**4 + q*z - 2\/17*z**2 = 0 for z.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 1 = 31. What is the greatest common factor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-440)\/275)\/((-2)\/6*(-90)\/(-150))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -627, -633, -649, -681, -735, -817, -933?\nAnswer: -1089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(187) + sqrt(187)*-2 - sqrt(187))*-3)\/sqrt(11) - (0 + sqrt(2448) + -1 - -6*-2*sqrt(2448)))**2.\nAnswer: 276*sqrt(17) + 323749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2aa7 (base 12) in base 7?\nAnswer: 20434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1339 and 8072831?\nAnswer: 1339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*c + 49*c + 2*w + 1, -5*w = 5*c - 40 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9\/(-6)*90\/27 + 6517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*r - 0*r. Suppose -3*w + 39 = 4*g + 255, 0 = -3*w - 2*g - 210. Let k = w + 167. What is the highest common factor of r and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + (4 + -4 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1630)\/(-25) + 16\/20. Is 8 a factor of 93 + -1 + n\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77848 is divided by 218.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -319, -435, 671, 4061, 10797?\n\"Answer: 177*b**3 - 451*b**2 - 2*b - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 + 2 = 0, 3*k = 5*n - 11. Suppose r + 4*x = 18, r - n*x + 20 = 3*r. Find the third derivative of 0*m**3 + 2*m**5 + r*m**2 + 0*m**3 wrt m.\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 10. What is g(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 227622, 227617, 227610, 227601, 227590, 227577, 227562?\n\"Answer: -z**2 - 2*z + 227625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 13 = 5*n - 1, -4*w - 2*n - 2 = 0. Let m(z) = 1 + z + 6*z + w - z**2. Let d be m(7). Solve -g = d - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2889.2 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 268\/(-6) + 1\/(-3). Let n = -16 - x. Suppose 0 = 4*o - 4, 3*o + o - n = -5*d. Solve 4*g - h = -0*h - 18, 5*h = d*g + 30 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 632393 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/12*7\/((-105)\/(-12)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 30*w**3 + 5*w**2 - 35*w + 21. Let o = -581 + 589. Is h(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-5))\/((-3)\/10). Let k be 138\/112 + 5 + -6. Let i = k - -3\/56. Which is the third biggest value? (a) -5 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**4 + 3*k**3 + 39*k**2 - 10*k + 6. Let f(r) = -6*r**4 + 10*r**3 + 116*r**2 - 26*r + 17. Let v(y) = 17*b(y) - 6*f(y). Find w, given that v(w) = 0.\nAnswer: -2, -1\/2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1331330413 (base 5) to base 3.\nAnswer: 20101001012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199561, -399123, -598685, -798247?\nAnswer: -997809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1466\/39 + -506\/13. Sort 199, 7, -3, -5, j in decreasing order.\nAnswer: 199, 7, j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/17)\/o)\/(o*o*o*o**(-4)*o)*(o**(2\/7))**(2\/129)*((o*o**(-7)\/o*o)\/o**0)**(-2\/15) assuming o is positive.\nAnswer: o**(-5981\/76755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94 + 83.4. Let d = a - -13. Let g = d + -2.4000053. What is g rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c + 478. Let p(k) = k**2. Determine q(p(j)).\nAnswer: -6*j**2 + 478","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*q - 12 = -2*h, -5*h - q - 13 = 0. Let w be (h - (-95)\/25)\/((-2)\/15). Let p(u) = -u**2 - 6*u + 2. What is p(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -47. Suppose -c*h + 362 = 2*f, -4*h + 7*f - 3*f = -748. Suppose 4*p - 5*p + h = 3*g, 2*g - 4*p = 146. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*t - 78 = 0, -2*i + 3 + 87 = -5*t. What is the highest common factor of i and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 886625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1116473?\nAnswer: 1116473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -103011200231 (base 4) to base 15\nAnswer: -68c6de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 2. Let m be k(-2). Suppose -4*y - 24 = 5*b, 5*b = -1401*y + 1396*y - 20. Sort b, m, -2 in descending order.\nAnswer: m, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -257299*y**3 - 1428056*y**2?\nAnswer: -1543794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 42 = -35. Let s be (-21)\/(-84) + m\/4 + -6050000. What is s rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404547 is divided by 101094.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -615 (b) 0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*((5 - 0) + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*k + 20*k + 2*k)*(-252*k + 252*k - 507*k**2) to the form x*k + o*k**2 + f*k**3 + y and give f.\nAnswer: -7605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18144 and 8876.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15756, -14224, -12662, -11070?\n\"Answer: 15*o**2 + 1487*o - 17258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4601 is divided by 123?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-3)*(-33)\/(-22). Suppose o*u = -3496456 + 246456. Round u to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -24331814239.\nAnswer: -24331814236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14031 is divided by 312?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**3 - 3*k**2 - 2*k. Let d be w(-1). Let r(f) = 6*f**2 + 2*f + 2. Let g(u) = 7*u**2 + 2*u + 3. Give d*r(y) + 4*g(y).\nAnswer: -2*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + -68 + 26 - 51.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 823921186 at least as big as 823921187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2627028 by -6.\nAnswer: 437838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mlr when three letters picked without replacement from {l: 1, m: 2, r: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g + 9*g + 5*g - 4*g + 0 + 2. Let l(b) = 4*b + 1. Suppose -5*c + 4*t + 1 = -8, 3*c - 2*t - 5 = 0. Let z = c - 3. Determine z*j(u) + 3*l(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((0 + sqrt(175))**2 - (sqrt(7) - sqrt(21)\/sqrt(48))**2).\nAnswer: 2657\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 356419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -76230 divided by -30?\nAnswer: 2541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 12*f. Let p be h(3). Suppose 2*l - 2*b = b + 47, p = l + b. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 112, 196, 282, 370, 460, 552?\n\"Answer: v**2 + 81*v + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/((3744\/256)\/39)*(-2)\/(-140)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 316868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaazmaaaaozaam. What is prob of sequence mm?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 135 = 204. Suppose -5*g + 5*b = -135, 4*b + b = -3*g + q. What are the prime factors of g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 18 = 5*w - 31, 17 = 2*w + p. Let d = -6 + w. Suppose -58 = -d*l + 8. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -8dafc?\nAnswer: -8daf8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(-12) - 69\/46. Solve -x*s**2 - 1\/3*s + 1\/3*s**3 + 1\/3 = 0 for s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-17 - -14) - (2 - 0) - -19?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 + 0 + 0 + (3*w + 0 + 0)*(w**2 + 3*w**2 - 2*w**2) - 4*w - 2*w**3 + 4*w + (3*w**2 + w**3 - 3*w**2)*(-1 - 1 + 3) - 2*w**3 - w**3 + 0*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7407, 29178, 65313, 115806, 180651, 259842?\nAnswer: 353373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2180, 2176, 2168, 2156, 2140?\n\"Answer: -2*s**2 + 2*s + 2180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 209 - 206. Solve -t = 2*t + d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.922 to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-1 - -9)\/((-106)\/(-3604))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 211\/1373820 and -113\/19141892.\nAnswer: 287128380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150553973 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*g**3*p**3 + g**3*p - 73665*g**2*p**3 - 2*g**2*p**2 + 375315*g**2 + g*p**3 + 46*g*p**2 wrt p?\nAnswer: 168*g**3 - 441990*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1338 divide 65562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1160510982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**3 - 9*n**2 + 6*n - 19. Calculate w(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15\/7 in -3\/8, 1, -5, -2\/7, 4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = -15 - 12 + 59. Solve k*r - 2 = 2*n, 4 = -n - 4*r + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**4\/8 - k**3\/2 - 3*k**2. Let q be i(2). Let s(u) = -u**3 + 3*u**2 - u + 3. Let g be s(q). Solve g = -y - 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-35)\/(-28)*(0 + 8). Suppose -2*t + q = 4. Factor 4*f**2 + t*f**3 - 2*f - f**2 - 4*f + 3*f - 3*f**4.\nAnswer: -3*f*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*j = -119*j + 36 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/65648 and 91\/77648.\nAnswer: 318589744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 1. Let v(d) = -4*d + 14. Let n(t) = 12*p(t) + v(t). Calculate the least common multiple of 2 and n(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrozrnozr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*t - 754 = 0, -t + 1133 = -3*o - 0*t. What is o rounded to the nearest 10?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*u - 2*y - 42, -5*y = 5*u - 120. Suppose -3*h - s - 6 = -4*s, -h = 4*s - u. Calculate the least common multiple of 1 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 6. Suppose b*l = -61 - 11. What is the units digit of (-4)\/18 - 148\/l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 2}. What is prob of sequence pq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*g = 60. Suppose -5*n + 2*n - g = 0. Let o be 57499998\/(-5) - (-2)\/n. What is o rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -268*g + 260*g + 48 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -78 = -73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 + 0.04. Let r = s + -0.1. Which is the third smallest value? (a) r (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 40293645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4*w + 289 - 277 = 0, -4*w = -3*q + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/34 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1327 and 290070257?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.49 + 686.49. Let x = t + -679.000001212. Round x to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.5 - 4.2. Let o = -2.85 - 1.15. What is the third smallest value in o, -2, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + l = -46, -5*l - 2607 = -36*x - 2329 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 1 + 2)*(-2 + 3 + 0) + 2 - 4 + 0 + (-4 - 3 + 4)*(0 + 4 + 0) - 1 - 2 + 2)*(l**2 - 2*l**2 - 5*l**2) to the form z*l**2 + c + g*l and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*t = 16, -3*m = -52*t + 56*t - 31. Suppose 8*l + 934 = m*l. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*y = 19, 0 = -y + 6 - 7. Sort s, 4, 0.\nAnswer: s, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.828 and -0.18?\nAnswer: 0.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1756)\/1317)\/(52\/(-9)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(27)*-2)\/((sqrt(90) - -2*sqrt(90))\/sqrt(10)) - 6*((sqrt(12) - sqrt(768)) + -1).\nAnswer: 6 + 248*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/73440 and 15\/1088.\nAnswer: 146880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4596964 kilograms to micrograms.\nAnswer: 459696400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1, -0.04, -0.42, -17, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2930?\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3)\/((u\/((u\/u**(-34)*u)\/u))\/u))**(-1\/7) assuming u is positive.\nAnswer: u**(-106\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.92 + 0.08. Let w = 3.5 - f. What is the second biggest value in -1, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148791, -148794, -148799, -148806, -148815, -148826?\nAnswer: -148839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/3951 and 51\/2198.\nAnswer: 8684298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3367, -5047, -6715, -8365, -9991, -11587, -13147?\nAnswer: -14665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182 + 182 - 754 + 211 + 13*f + 179 - 12*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 5*b - 15, 3*k - 6 = 2*b - 1. Let v be (-9)\/22*(-2)\/(-3). What is the biggest value in -2\/9, v, k?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112000002111011 (base 3) to base 6\nAnswer: 423301351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -4, 4, 3249 in increasing order.\nAnswer: -4, -3, 0, 4, 3249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/36, 6, 1\/8, 3, -0.5 in descending order.\nAnswer: 6, 3, 1\/8, -5\/36, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 0 + 1\/60*m**5 + 1\/8*m**4 + 5*m**2 - 1\/3*m**3 + 0*m. Give q(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 7, j: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 5*a**2 + 5*a + 6. Let s be m(-4). Let z be ((-1)\/s + -2)*2. Suppose 3*x + 5 = 2*x. Are x and z nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 8*c - 1. Let s(a) = -a**3 + 9*a**2 - 1. Let l be s(9). Let t be 2\/(6\/(-9)*l). Is 9 a factor of p(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185136186 to the power of 1\/2, to the nearest integer?\nAnswer: 13606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19616763?\nAnswer: 3, 1307, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1713 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 8 - 4*f**3 - 6 + 56*f - 3*f**3.\nAnswer: -7*f**3 - 3*f**2 + 56*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + -1 - (-14 + (-39 - -72)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**3 + 11*x**2 - 25*x + 11. Let z(v) = 3*v**3 - 6*v**2 + 13*v - 6. Calculate 6*m(y) + 11*z(y).\nAnswer: -3*y**3 - 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i - 7. What is b(-6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628597?\nAnswer: 281, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*b. Suppose 14*k - 9*k = b. Suppose -39*q + 38*q - 1810000 = k. What is q rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 7)*(10*b**3 - 10*b**3 + 6*b**4) + (0*b**3 + 2*b**3 - 4*b**3)*(-3*b + 3*b + 2*b) - b**4 + 2*b**4 + b**4 + 3*b**4 + 2*b**4 - 4*b**4.\nAnswer: -43*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**2 - 13*r**2 - r**2 + 3*r**2 to f + u*r**2 + h*r and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-15)\/(-18))*(-1 + (-578)\/(-561)). Which is the closest to 1\/3? (a) 1\/4 (b) -2 (c) -1\/3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 3. Let f be m(-3). Let o = 10 - 5. Suppose f = c - o*c + 36. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 2*c + 24, -5*s + 201*c - 197*c = -30 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -52 + 16. Let v(a) be the third derivative of a**5\/60 + a**4\/2 + 5*a**3\/3 - 190*a**2. Let z be v(y). Solve 4*d = -z + 26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1540 and 32?\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 11 = -2*h + 2*y, -3*y = 3*h - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48695727 divided by 1679163?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11356*b**3 - 16011*b**3 - 753*b**3.\nAnswer: -28120*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -1.947\nAnswer: 1.947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.82.\nAnswer: -3.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3 (b) 11\/411716 (c) -0.2 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/9))\/(m\/(m**(-45)*m))*m\/(m*m\/m**(-2\/7)*m)*m*m**35 assuming m is positive.\nAnswer: m**(-634\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8885.91 milliseconds to minutes.\nAnswer: 0.1480985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(17) + sqrt(425) + 1 - sqrt(17))**2 - (1*sqrt(68) + sqrt(425) + -2).\nAnswer: -1276 - 37*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 8 + 23 = 0. Sort 15, -2, a.\nAnswer: -2, a, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34473225169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -194503 + 354935. Let o = -110432 + m. What is o rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97*c**3 + 0 + 0 + 39*c**2 - 89*c**3 + 184*c**3 to the form q + i*c + v*c**3 + j*c**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b6b (base 14) in base 8?\nAnswer: -44433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -196749 (base 10) in base 13?\nAnswer: -6b727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3020101*k**2*o**2*w**2 - 733*k**2*o*w**2 + k**2*o*w - k*o*w**2 - 116*k*o*w - 2*k wrt o?\nAnswer: -6040202*k**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 323219 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 p when three letters picked without replacement from {p: 1, l: 3, w: 5}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 574 = -2*t, -3*b - 2*b + 1435 = -2*t. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -7*i + 112. Let f = 22 - i. Let p = 24 + f. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10503000 divided by 145875\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 20*q**2 - 170*q + 89. What is m(10)?\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/4 of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5d98 (base 16) to base 14.\nAnswer: 8a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 34681 - 17345 - 2*f - 17345. Calculate v(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -243372?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3 = a + j, -3*j - 13 = a. Let l(c) = 6*c**2 + 4*c**a + 2*c**2 + 3*c**2. Let t(v) = -38679*v + 19331*v + 19345*v. What is l(t(s))?\nAnswer: 135*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6751\/392024 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -698\/317 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4469 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**2 - 38336*j - 91853056 = 0.\nAnswer: -4792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 7*p**2 + 5*p - 5. Let o be z(-6). Let l = -0.425 - -0.025. Is l less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u + 5*u**4 - 3*u**4)*(-1 + 0 + 0)*(-3 + 0 + 4).\nAnswer: -2*u**4 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 37.09608 years?\nAnswer: 445.15296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - -47. Let i = 87 - y. Which is the second smallest value? (a) 3\/4 (b) i (c) -1\/2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (1 + -33)\/(-4) + 3 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*g**5 + 44*g - 44*g - 5*g**5 + 17*g - 17*g + (3 - 3 - g**3)*(2*g**2 - 2*g + 2*g).\nAnswer: -26*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7529 + 7651. Calculate the greatest common factor of a and 2989.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 8*y + 1 + 2)*(-5*y - y + 4*y).\nAnswer: -8*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 461b3 (base 12) to base 15.\nAnswer: 1cae6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -63*i**2 - 1 - 4 + 33*i**2 + 11*i + 29*i**2. Determine c(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k + 40 = 0. Let w = k - -28. Suppose -o + u + 18 = 3*o, 5*u = 2*o - w. Solve -15 + 0 = 5*d + q, o*d + q + 11 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-42*-2*(-4)\/(-16))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 546 and 52286?\nAnswer: 1098006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00223660769 to six dps.\nAnswer: 0.002237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-11\/3)\/(((h*h\/(((((h**14\/h)\/h)\/h)\/h)\/h)*h)\/h)\/h*h) assuming h is positive.\nAnswer: h**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/20)\/f)\/(f\/f**14) assuming f is positive.\nAnswer: f**(243\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 21 - 5. Suppose a + a - 5*u = -10, v*a - 5*u = -10. Suppose -2*j = 3*j. Solve j = 3*r - 6, -y + 8 = -a*y + 3*r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 315 divided by 21\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obpvninpvvopopivpppv. What is prob of picking 2 p?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -640882, -640884, -640886, -640888, -640890?\n\"Answer: -2*k - 640880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/48 and 83\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2004 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 8:35 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -12*d - 3. Let s be i(-1). Let f = 7 - s. What is the units digit of (23\/46)\/(f\/(-124))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 4. Let a = -17 - p. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76731385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2964, -2919, -2874, -2829, -2784?\n\"Answer: 45*p - 3009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.16 + 0.16. Let n = 4479.0104 + -4470. Let f = n + i. Round f to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14\/(-63) - (-2 + 21\/27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 25 + 1 = -3*s, -2*s + 16 = 4*i. Suppose 0 = -2*m + 236*q - 238*q - 2, 2*q - 2 = -m. Sort m, i, 0, -1.\nAnswer: m, -1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*d + 485*d = 956*d - 90 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 219801217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*h + 224*h - 65 - 325 - 220 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020699162 to 6 decimal places.\nAnswer: -0.020699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*c + 30, 2*c = -3*f + 13 + 11. Suppose -8*d + 8 = -f*d. Calculate the smallest common multiple of d and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 8. Let m(o) = -o**3 + 18*o**2 + o - 16. Let q be m(18). Differentiate -33 + 2*r**2 + 34 - t*r**q - r**2 wrt r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)*5 - -3*sqrt(16)*3)\/((-1*sqrt(64)*-1)\/(sqrt(80)\/(sqrt(10) - sqrt(10)*-1))).\nAnswer: 19*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 163811715 to the nearest 10000.\nAnswer: 163810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5723007421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2334445 is divided by 2105.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 0*p**5 - 182 + 0*p**2 + 0*p**4 - 2\/7*p**7 + 124\/3*p**3 + 119\/6*p**6 + 0*p. What is the third derivative of w(m) wrt m?\nAnswer: -240*m**3 + 7140*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342*f = 332*f + 100. What is the tens digit of 6718\/18 + f\/(-45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (288\/18648)\/(4\/14)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.1, -148, -3, -5, 11220?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 10\/21027 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(180) + -1*sqrt(180))\/sqrt(3)*-3)\/(sqrt(36)\/(sqrt(48)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2374 greater than -2372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3256\/(-1221))\/(2*(-1)\/32)*-3.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*k**3 + 6*k - 40*k**3 + 81*k**3 + (-2*k**2 - 3*k**2 + k**2)*(-k + 2*k + 2*k).\nAnswer: -15*k**3 + 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(36)*-2)\/(sqrt(12) - (sqrt(96)*-1 + sqrt(96))\/sqrt(8)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vslhvvhhvhthvlhh. Give prob of sequence hshh.\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c105270 - 0?\nAnswer: c105270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*n**3*x**3 + 30*n**3*x - 505*n**3 + 13*n**2 - 116*n*x**3 + 108*x**2 wrt n?\nAnswer: -84*x**3 + 180*x - 3030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-4) - (-366)\/(-72)*-3. Solve 0 = -8*a - 24 - d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023083245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -253 - -1775\/7. What is the third biggest value in a, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*n**2 - n**3 - 5*n**3 + 2*n**2 - 11*n + n**4 + 8*n**3 in the form v*n**2 + i + t*n**4 + j*n + u*n**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 divided by 1?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -20. Let u(r) = -5*r**2 - 5*r - 3*r**o + 6*r**2. Let b(t) = t**3 + 11*t**2 - 4. Let h be b(-11). Determine u(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**4\/24 + 4*v**3\/3 + 2*v**2. Let s = 1519 - 1519. Calculate a(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/452 and 117\/10.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.3 - 3.1. Let f = -15.01 - n. What is f rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*u - 10*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.1569 to 1 decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*k - 1080. Let c = 311 + k. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 21*m + 843. Determine t(-38).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 54*g**2 - 696*g + 584. What is y(-31)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1876 + 2169 - 296*l**4 + 221 - 951 with respect to l.\nAnswer: -1184*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/2 - 102*j + 15255\/2.\nAnswer: -3*(j - 45)*(j + 113)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000361369212 to seven dps.\nAnswer: -0.0000361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138842 is divided by 422.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46773326.\nAnswer: 2, 19, 64783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -217.9 + 1573.9. Let f = 1355.99999253 - c. Round f to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*((1 + sqrt(720))**2 + (-1 + sqrt(20))*4) + 0 + (sqrt(320) - sqrt(320)*-2*-1)**2.\nAnswer: 32*sqrt(5) + 1032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 196.63444 + -1868.796888. Let c = h - -1660.463. Let q = 11.7 + c. Round q to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 64409143 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 572 and 240526?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -123856, -495056, -1113726, -1979866, -3093476, -4454556?\n\"Answer: -123735*l**2 + 5*l - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = 4*p + 246 - 6. What is the nearest to -1 in 2, p, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 equal to -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 + 6*z - 6*z)*(4*z - 4 + 4).\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (-8 - -43) - -6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24750, 32388, 45118, 62940, 85854?\nAnswer: 113860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 = 2*k, 3*k + 2*k - 20 = 0. Let v be (32\/(-40))\/(d\/10). Suppose 13*w = 11*w - v. Sort 2, 1, w in ascending order.\nAnswer: w, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 2:35 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-351)\/78*(-172)\/3. Let o = -210 + x. What is the greatest common factor of 624 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-235)\/94)\/(4\/(-16)*14)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9*d - 4. Let a(k) = 9*k**2. Calculate a(q(s)).\nAnswer: 729*s**2 + 648*s + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, t: 3}. Give prob of picking 2 t and 1 m.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 22, 3, -2\/15.\nAnswer: -11, -2\/15, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 60*a**3 + 2*a + 2*a.\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1412 + 1411. Let t = 2\/655 + -913\/84495. Are k and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6279 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 k be (-3)\/1*(-42)\/(-2). Let o be 18\/k + (-37)\/(-7). Suppose -o*i + 6 = -9, 24 = 3*j + 3*i. Solve -m = -g + 4, 5 = j*g - 3*m - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33 - -3?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -801*l*m**2*q**2 + 590*l*m**2 + 3*l*q**2 - l*q + 417*m**2*q**2 + 1133*m**2*q wrt q.\nAnswer: -1602*l*m**2 + 6*l + 834*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1680 and 144?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 1. Let r(w) = 35*w**2 + 3*w - 49. Let y(h) = -3*m(h) - r(h). What is the first derivative of y(j) wrt j?\nAnswer: -70*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-6 - (-24 + 15)). Let g = -4 - -16. Suppose o - t = 3*o + g, -6 = -3*t. Is w at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20\/3531 or 0?\nAnswer: 20\/3531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 444, -3, 0.569675 in increasing order.\nAnswer: -3, 0.569675, 444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3390, 6724, 10042, 13338, 16606, 19840?\n\"Answer: -h**3 - 2*h**2 + 3347*h + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y**3 - 6*y + 3. Let k(j) be the third derivative of j**6\/20 + 7*j**4\/24 - 2*j**3\/3 + 110*j**2. Calculate -4*h(o) - 3*k(o).\nAnswer: 2*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 14704?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-510)\/(-6120)*54\/34)\/(9\/(-24))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/(w*w**(2\/7)*w))))\/(w**(1\/2)\/w))\/(((w\/w**(1\/2))\/w)\/w)**(-13) assuming w is positive.\nAnswer: w**(-142\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 20*x**2 + 3*x - 45. Let k(n) = n**2. Calculate h(k(m)).\nAnswer: 40*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b683 (base 13) to base 5.\nAnswer: 10114120","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3 - 758*o**2 + 1522*o - 762 = 0 for o.\nAnswer: -381, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*d - 1420 = 0, -3584 = -4*g - g - d. Let x(i) = i + 239 + 241 - g + 244. Give x(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2.5. Let d = -0.35 + 0.05. Let r be 45\/54*6 - (4 - 1). Which is the closest to r? (a) d (b) f (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -451, -2224, -5185, -9334?\n\"Answer: -594*d**2 + 9*d + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 1608*a - 168. Let w(i) be the first derivative of 24*i**2 - 5*i + 61. What is -5*j(l) + 168*w(l)?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 = -2*x + 14, 0 = -5*n - 5*x + 60. Factor 2\/17*d**n - 4\/17 - 2\/17*d.\nAnswer: 2*(d - 2)*(d + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79043446 a multiple of 937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*a - 32*a + a**3 - 5 + 41*a in the form v*a**2 + f*a + p*a**3 + y and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*sqrt(1715)\/sqrt(7) + 5)**2.\nAnswer: 70*sqrt(5) + 6126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 17*i + 33. Let g(x) = -17*x - 29. Determine -6*d(q) - 7*g(q).\nAnswer: 17*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + -1 + sqrt(208)*1 + (-1 + sqrt(208) + 0 + sqrt(208) - sqrt(208)) + sqrt(208)).\nAnswer: -4 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.010726993 - 0.01073. What is t rounded to 7 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74.22 + 1.78. Let p = j - 76.2. What is the nearest to -0.9 in -1\/2, 1\/6, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/7 - 670*q\/7 - 9825\/7 = 0. What is q?\nAnswer: -655, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**4 - q**3 + q**2. Let w(a) = 458*a**5 - 3*a**4 - a**3 - 1445*a**2. Let y(m) = h(m) + w(m). Find the third derivative of y(l) wrt l.\nAnswer: 27480*l**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a factor of 329497362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-2))\/(m\/(m**33\/m))*(m*m*m**(1\/16))\/m**(1\/2))**40 assuming m is positive.\nAnswer: m**(2845\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lctqzqqqzlqzqtqllqq. Give prob of sequence qc.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35184*m - 1 + 35184*m - 12418*m**2 + 1.\nAnswer: -12418*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39814787.\nAnswer: 4289, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(1 + (-4)\/(-6)). Suppose 4*v - o*v + 3 = 0. Let i be (4*2\/(-4))\/(1\/(-16)). Solve 4*h = -4*g + i, 4*g = h + v*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -8. Find the third derivative of 0*p**2 - 4*p**2 + p**6 + 8*p**k wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -41*f + 3*f. Let p = 5517\/11 - 501. Which is smaller: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*c + 26, -3*c = 5*z - 3*z - 17. Suppose -1 - c = -w. Suppose w*d - 96 = d. Does 20 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -224662574*r**3 + 114*r**2 - 183928*r + 3.\nAnswer: -1347975444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 793550 rounded to the nearest ten thousand?\nAnswer: 790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*s**2*y**4 + 69*s**2*y**2 + 4*s**2*y + 125*s*y**4 - 16*y**4 + 42 wrt y.\nAnswer: 96*s**2*y + 3000*s*y - 384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57974 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 10. Let m be 2566\/8 + 2\/8. Does 19 divide 2\/6 + m\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 17*a**3 + a**2. Let c be u(2). Suppose -5*b = -2*h - c, 0*b - 4*b - 3*h + 135 = 0. Solve 3*m = -5*y - b, m + 4*y = -3*m - 32 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 5 - 7 = 0. What is the common denominator of (-46)\/8*(-1)\/a and 19\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(833)*1 - sqrt(833)) + sqrt(833) + -2 + -5*(sqrt(833) + sqrt(833) + -1 + sqrt(833)) + -4 + (-1 + sqrt(833))*3)*-2)**2 + -3.\nAnswer: 4928*sqrt(17) + 806469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 4*b**2 + b + 4. Let n be q(-3). Let s = n - -85. Calculate the remainder when 44 is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 6:59 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k = 22*k - 36. Let m be (-5)\/(-10)*k*-24. Let z = 59 + m. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*k**3 + 2*k**4 - 1 + 0*k - 2*k + 85*k**3 to the form y*k**3 + m*k + o*k**4 + b + q*k**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5664 (base 16) in base 2?\nAnswer: 101011001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 164745 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 1. Let x(q) = -q**2 + 2*q + 3. Let l(y) = -g(y) - x(y). Let t be l(0). List the prime factors of 4\/(-2)*41\/t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*r = 3*c + 12, 5*c - 2*r + 8 = 0. Let u = 9 - 4. What is the second derivative of -2*q + c*q**u + 4*q**5 + 0*q wrt q?\nAnswer: 80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i - 5*q + 8 = 22*i, 2*i - 2*q + 8 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*a**5 + 5*a**5 + 11*a**5 + (-a - 3 + 3)*(0*a**4 + 0*a**4 + a**4).\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9414 is divided by 2351.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s - 174 - 126 = -13*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from {o: 1, n: 4, d: 2, g: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 9*y**3 - y**2 + 13*y - 8. Let d(q) = 5*q**3 - q**2 + 7*q - 4. Let p(v) = -6*a(v) + 11*d(v). Let n be p(5). Let m = n + 1. Is m bigger than -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21930*t + 13581 with respect to t.\nAnswer: -21930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 41*a**2 - 51*a - 2276. Let n(o) = -37*o**2 + 51*o + 2276. Let w(z) = -11*n(z) - 10*x(z). Find the first derivative of w(v) wrt v.\nAnswer: -6*v - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8144246 is divided by 113113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 - 0.23. Let u = 17347119.75999941 + -17347120. Let w = u - x. What is w rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81414688\/19 + 4283735. Let i = 6829811\/5472 + k. What is the common denominator of (182\/48 + 2)\/((-1)\/2) and i?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-0.27\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14952 - -5546. Does 34 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n + 1. Suppose 0 = -p + 5, 4*b = 5*p + 1 - 10. Suppose -14 = -2*v - 5*w, -b*w + 2*w + 8 = 0. Determine y(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/(2\/20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 5*u**2 - 2*u - 7. Let d be k(-5). Let l = -384 + 379. What is the second smallest value in d, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322*k - 921 - 145*k + 948 - 174*k.\nAnswer: 3*k + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 344*m**2 + 14*m + 35. Let u be -9 - (-11 - -17)\/(2\/(-1)). Is r(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3)*g)**(1\/21))**(-16)*(g\/(g\/((g\/(g*g**(2\/9)))\/g))*g**(-10))**(-25\/6) assuming g is positive.\nAnswer: g**(17579\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*o = 4*s, 3*s = o. Let f(d) = 4*d + d**2 + 3 + 8 - 8 + 6. Let a be f(-4). Solve s*i - 3*i = -a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-49) - 146\/(-14). Let c(y) = -y**2 + 15*y + 4. Calculate the lowest common multiple of c(v) and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4808851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, y: 3, z: 2, t: 2, n: 7, c: 1}. Give prob of picking 2 y and 1 z.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2873 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**4\/2 - 51*b**3\/2 + 1788*b**2 + 102*b - 7128 = 0.\nAnswer: -44, -2, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -133, -118, -89, -40, 35, 142?\n\"Answer: g**3 + g**2 + 5*g - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1385, -11347, -38381, -91019, -177793, -307235, -487877, -728251?\nAnswer: -1036889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 849456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28894 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1597*q**2 - 131228*q + 1 - 1 + 131228*q in the form i*q**2 + c + j*q and give i.\nAnswer: 1597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**12)**(4\/5) assuming z is positive.\nAnswer: z**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -349, -1172, -2771, -5404?\nAnswer: -9329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 256 = 4*v + 18, -6*s + 326 = -2*v. Calculate the remainder when 310 is divided by s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v + 17. Let g be p(5). Let l(q) = -g*q + 15*q - 3*q - 8*q. Let t(j) = -7*j. What is l(t(f))?\nAnswer: 21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 72*o + 4 - 2.\nAnswer: 72*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**5 - 42*n**3 + 8*n**2 - 2*n + 919 wrt n.\nAnswer: 120*n**2 - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002100221011 - 22010?\nAnswer: 1002100122001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**4\/12 - 3*m**2. Let w(y) = 33*y - 38. Let t(x) = -75*x + 78. Let j(a) = -4*t(a) - 9*w(a). Determine j(s(d)).\nAnswer: 6*d + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + -1c?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*o = -60*o + 12. Suppose w + 2*c + 18 = 79, -o*c - 53 = -w. Suppose 0 = 3*j - 6*j + w. What is the remainder when 72 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/7 - 57*v\/7.\nAnswer: 3*v*(v - 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**4 - r. Let c(q) = -51*q**4 - 18*q - 120. Let l(n) = -c(n) + 18*t(n). Differentiate l(u) with respect to u.\nAnswer: 348*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -223 (b) 0 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -1004*o. Let v(s) = 88*s**2 - 15*s. What is v(f(w))?\nAnswer: 88705408*w**2 + 15060*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 4*h**2 + 4*h + 2. Let m be v(-3). Let c be -2 + (-6)\/m + 1. What is the third derivative of -2*j**2 + j**5 - 4*j**5 + 0*j**c wrt j?\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*d - 51 = -71*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 5*m**2 - 7*m + 1. Let s be p(-6). Solve 4*o = l + o + 2, -2*l - 5*o + s = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulsuulluilsls. What is prob of picking 1 s and 1 i?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 9. What is t(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 16, -1\/5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 5:27 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.4 minus 7?\nAnswer: 93.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Expand w**5 + w**3 - w**3 + (334*w**4 - 118*w**4 - 51*w**4)*(-13*w + 5*w + 10*w).\nAnswer: 331*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*o - 0*o + 49, -5*y = o + 165. Let s = y - -38. Solve s*t - 2 = 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 490*h**2 - 3002*h - 2510.\nAnswer: 2*(h - 251)*(h + 1)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*p + 18. Let k(v) = -3938*v**3 + v - 5 - 3*v**2 + 3931*v**3 + 8*v**2. Let z(r) = 10*r**3 - 7*r**2 - r + 7. Give p*z(t) - 7*k(t).\nAnswer: -t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105589551 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u - 10. Let s be q(-8). Let i be 4\/(-22) + (-1200)\/s. Suppose i*k - 23*k = -850. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 1 = 16. Let f(y) = -y**3 + y**2 + y + 1. Let r be f(g). Solve -3*h - 1 - r = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/92)\/(2\/10)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68413125?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 53365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -244505 + -4?\nAnswer: -244509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 42. Let m(p) = p**3 + 26*p**2 - 25*p + 56. Let n be m(-27). Solve 3*h = -f, -h - d = n*h + 5*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((2 + -3)*(2 + 1))\/(-3). Let m = 0 + 1. Calculate the greatest common factor of v and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + -0.31. Let w = 5.96 + 0.44. Let q = w - 6. Put n, q, -0.2 in ascending order.\nAnswer: n, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 + 17*w. Let a(t) = 36*t**2 + 16*t + 16. Let l(h) = -7*h**2 - 3*h - 3. Let p(v) = -3*a(v) - 16*l(v). Determine d(p(x)).\nAnswer: 32*x**4 + 68*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 208904001 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -46, -55, -68, -85?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (1 - (20 - 10)) - -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d - 3. Let i be h(-2). Let w(j) = 0 + 5 - 593*j**2 + 3 - 7*j. Let b be w(i). What is b rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1951.4 take away 34.7508301?\nAnswer: -1986.1508301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 5*w**2 + 2. Let t be i(5). Let v(x) = -3*x - 6*x - t + 4*x. What is the units digit of v(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c = -6*c + 12934. Let k = -447 + c. Let g(w) = 9*w. Calculate g(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(500)\/sqrt(10)*-5)\/sqrt(10))**2.\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a millennium in centuries?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.28 and -1.4?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 8*x - 56 = 3*q - 12*x, -4*q + 0*x = -2*x - 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 55939800 divided by -39957\nAnswer: -1400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -192*v**2 - 9*v + 1. Calculate g(1).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*d. Suppose 27*f - 11 = 97. Suppose -4*b + 0*b + 20 = 0. Solve -f*q + 5*l + 12 = l, -b*l = d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - c + 5 = -0*c, -3*h + 5*c = -11. What is the second derivative of -6*a + 2*a + 8*a - 29*a**h + 4*a wrt a?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**5\/4 + 5*t**4\/12 + 5*t**3 + 95*t. Let x(q) = 0. Calculate q.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5)*c*c**(-6)\/c)\/(c**(5\/3)\/(c\/(c\/c**(-6)*c))))\/((c\/c**(2\/7))**(-2\/17))**(-14\/3) assuming c is positive.\nAnswer: c**(-341\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 13*y - 324. What is x(26)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 9 = -3. Suppose -5*g + 32 + 319 = 3*r, r = -j*g + 113. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -16*d**5\/5 + 31*d**4\/4 - 2875*d**3\/3 + 1105. What is the third derivative of j(u) wrt u?\nAnswer: -384*u + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2 - 110*o - 356. Let p be y(-33). Solve 0 = -p*j - 12 - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 389758817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*w**3 - 13*c*w**2 + 625*c + 4*w**3 wrt w.\nAnswer: 6*c*w**2 - 26*c*w + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 2 + 1)*(-d - 2*d + 4*d) + 0*d - d - d + 2 - 2 + d)*(-4*d**2 + d**2 + 4*d**2) as b*d + q + r*d**2 + t*d**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1079 - 60325\/56. Find the common denominator of a and -1\/6.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*g + 3 + 28*g - 42*g to the form a + q*g and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:43 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**6\/6 - 7*h**5\/4 + 55*h**4\/12 - 25*h**3\/6 + 4*h - 33. Let n(s) be the first derivative of x(s). Factor n(o).\nAnswer: 5*o*(o - 5)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74 and 415843.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3081 + 3088. Let z be 2*(-5)\/((-30)\/9). Solve z*v + 11 = 4*u, 2*v = i*v + 5*u - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12232.73 litres in millilitres?\nAnswer: 12232730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1520324 is divided by 128?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**3\/7 - 117*t**2\/7 - 9210*t\/7 - 43000\/7 = 0.\nAnswer: -50, -5, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10021 and 4466.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven eighths of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*a = 14*a - 1478 + 222 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56028)\/653660)\/((-7)\/((-35)\/12))?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 234133?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 2\/3*w**4 + 0 + 12*w**2 + 0*w**3 + 13\/60*w**5 + 0*w. What is the second derivative of q(k) wrt k?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*q + 29, -25 = -4*j - 2*q + 21. Let w be 3*5\/(-30)*j. Let y(l) = l + 8. Let g be y(-12). Put 4, w, g in increasing order.\nAnswer: w, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61413488 to the power of 1\/3, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 726*l**2 + 1446*l - 722.\nAnswer: 2*(l - 361)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29322829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 5) in base 4?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3090124*5.\nAnswer: 15450620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196 divided by 2158.\nAnswer: 98\/1079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 53 - 541150329\nAnswer: -541150276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4548, 34432, 115546, 273504, 533920?\n\"Answer: 4269*p**3 + p**2 - 2*p + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*1\/(-2)*(-2)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + 86 + -54 - 106?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/133 - 4\/14. Suppose 2*z + 40 + 20 = 0. Let l be z\/(-18)*2\/(-5). Sort l, m, -2 in increasing order.\nAnswer: -2, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6312748483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.88 + 0.12. Let i = -13 + p. Let s = i - -6.1. What is the second smallest value in 3, s, -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 12*n**2 + 6. Let a(s) = -13*s**2 - 5. What is 6*a(k) + 5*v(k)?\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q + 2. What is x(6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 412960523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4 + 13*y**2 - 2*y - 7*y**2 - 5 + 10. Calculate j(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7000 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6\/17, -1\/2, 1\/2 in increasing order.\nAnswer: -3, -1\/2, -6\/17, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 140 + -112350?\nAnswer: -112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -71 + 1?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1330 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-81 - -57 - -50)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -353*q**5\/20 - 71*q**4 - 360*q. Find the third derivative of c(y) wrt y.\nAnswer: -2118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1462*z - 136*z**4 - 99*z**4 + z**2 + 237*z**4 to l*z**4 + h*z + m*z**2 + r*z**3 + y and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3023*n**2 + 17*n - 2998*n**2 - 13*n.\nAnswer: 25*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851420982.\nAnswer: 2, 3, 141903497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 7*v - 432 = -3*v, v - 564 = -5*o. Let d = o + -76. Let a = d + -14. Solve -4*h + 2*h = -4*f + a, -4*h = 4*f - 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*r - 96 + 294, -5*r - 5*w + 495 = 0. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 231295913*y**4 + 70275785*y.\nAnswer: 2775550956*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-224)*(-2)\/(-9)*3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 6 - 7 = 2*i, -2*i - 10 = 2*a. Let f = a + 4. Calculate the remainder when 9 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.29345 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192394, -192364, -192314, -192244?\nAnswer: -192154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -118 divided by -79\nAnswer: 118\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 464\/2025 + -14\/2025. Let d = 1.95 - -0.05. Let q = d - -2. Which is the nearest to f? (a) q (b) -0.1 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1841418.\nAnswer: 1\/1841418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1990, -3987, -5980, -7969, -9954, -11935?\nAnswer: -13912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62038, 62065, 62092?\nAnswer: 62119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -88\/5. Let z = -373.136 + 374. Let t = z + -0.564. Which is the second smallest value? (a) -1\/2 (b) t (c) 6 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 9:38 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*j + 32*j + 294. Which is the closest to -1? (a) -3 (b) 5 (c) j (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 2228 = 16*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2\/57*(-3)\/(-3)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*m = -1176, 6*t - 5*t - m = 1160. What is the highest common divisor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4070000 to the nearest 100000.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1440300370 and 290.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36364758?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/25 + (-12)\/(-5). Suppose -2*s - w = g*s - 156, 0 = 4*s - w - 148. Calculate the remainder when s is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 4*u**2 + 5*u + 4. Let x(z) = z**3 - 2*z**2 + 2*z + 2. Give -2*w(p) + 5*x(p).\nAnswer: 3*p**3 - 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4290 and 998712?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 633014 (b) 1 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3515275 from 0.4.\nAnswer: 3515275.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -932*l - 5592. Let s be t(-6). Solve -h + 11 = -5*r, s = 3*h - 7*h - 3*r - 25 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.4, 3\/2417, 6, 0.06 in increasing order.\nAnswer: -0.4, 3\/2417, 0.06, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*w - 6 = 0. Let o be 0\/((2\/(-1))\/w). Let b(k) = -k**2 + k - 2. Let t be b(2). Sort o, t, -2.\nAnswer: t, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.1 - -6. Which is smaller: -0.2 or s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -18.8107.\nAnswer: -14.8107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-756.267551041\nAnswer: -756.567551041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455482.\nAnswer: 2, 53, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 36 = -3*q, 2*p - 3*q + 18 = -0. Let f(y) be the third derivative of 0*y**p + 0*y - 34*y**2 + 0 + 1\/3*y**4. Let a(u) = -4*u. Calculate a(f(v)).\nAnswer: -32*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/33 and (164313\/(-6084) - -27)\/(1\/(-32)).\nAnswer: 5577","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 828.254 nanograms?\nAnswer: 0.000000828254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 6:46 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.16 + -3.56. Round g to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1934 - -1998. Let i be 2\/(-8) + 245\/4. Let d = r + i. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716712?\nAnswer: 2, 3, 29863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -11. Let y be 12\/z*(-21)\/3. Solve r = y - 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 4*f**6\/15 - 5*f**3\/6 - 9*f + 6. Let z(x) be the first derivative of m(x). What is the second derivative of z(w) wrt w?\nAnswer: 96*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 4\/3*k**3 + 9 + 5\/2*k**2 + 0*k + 1\/24*k**4. Let l(q) be the second derivative of j(q). What is l(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7 + 1.4. Let d = -227.4978 - -227.8. Let q = d + m. What is q rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2 + 33*h - 88. Let t be b(5). Solve 26 = -7*n - t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 240685 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -141352, -282688, -424024?\n\"Answer: -141336*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 20267?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(240)*-2 + sqrt(240) + sqrt(240) - sqrt(240))\/sqrt(12)*-4.\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 362569, 362018, 361465, 360910, 360353, 359794, 359233?\n\"Answer: -z**2 - 548*z + 363118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33705 and 211337091.\nAnswer: 6741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.204 - 21.2. Let s = o + 0.58. Let l = 0.415693 + s. What is l rounded to five dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13034 and 1079029.\nAnswer: 15106406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 320 + -315. What is the tens digit of 147 + -11 + 1\/(1\/s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 6*n**3 - 3*n**2 + 8*n - 8. Let k(g) = -4*g**3 + 2*g**2 - 5*g + 5. What is 5*a(j) + 8*k(j)?\nAnswer: -2*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 4:12 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11701 + 11678. Let m(p) = -7*p - 158. Calculate m(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by -25\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4328684 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -7. Suppose -2*k = -4*q - 82, -d*k + 160 = -2*q + 7*q. Suppose -k - 37 = -4*l. What is the highest common factor of 162 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**17*m\/(m**(8\/7)\/m)*m**19\/((((m\/m**(-11))\/m)\/m)\/m*m) assuming m is positive.\nAnswer: m**(188\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 67 + 312113?\nAnswer: 312202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0445 and -3.353.\nAnswer: -3.3975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -93066710 and -3.\nAnswer: -93066713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/95655525 and -127\/30.\nAnswer: 191311050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - w + 2*w - 362 = 0, 3*u = 5*w + 332. Let d = u + -40. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*b - 758 - 450 - 416 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 238125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*k = -38, 0 = -0*q + q - 5*k - 16. Let z(g) = -41*g**2 - 6*g - 9. Let s(w) = -35*w**2 - 7*w - 6. Let i(x) = 7*s(x) - 6*z(x). Calculate i(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2402609, 1\/3, -0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1352*37\/27380 - (-9)\/5?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0 + 0 + (-3*l - 3*l + 5*l)*(-2 + 0 + 0) + 0 + 0 + 2*l + 2*l - l - 3*l + 3*l - 4*l - l + (l + l - 5*l)*(0 - 1 + 0))*(3*l**3 - 3*l**3 + 3*l**4).\nAnswer: 15*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*c + 16*c - 23*c**3 + 6*c.\nAnswer: -23*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u. Let c = 1 + 2. Let h(a) = -a**2 + 3*a + 1. Let s be h(c). Let m(y) = 2*y**2 - s + 1. What is m(r(j))?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**3 + 6810*t**2 + 3891771*t + 30699864 = 0.\nAnswer: -1131, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27087, 54183, 81287, 108399?\nAnswer: 135519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 7:48 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 314612327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -797.763368 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (94385\/(-6146)*8\/(-10))\/(6\/(-21))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + 1. Suppose 4*p = 7*p - 21. Calculate the remainder when a is divided by 8 - 10 - p*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 5. Suppose -p*h = -6*h. Suppose 0 = 20*v - 6*v - 98. Solve h = -v*k + 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(3\/(-2) - 0). Let x be 396\/63 + (-2)\/7. Calculate the highest common divisor of z and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/(20 + -19)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/1379 + 139297\/8274. Calculate the common denominator of 1 + 4 + -5 + (-166)\/4 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**3\/3 + 12*l - 8. Let s be k(1). Solve -2*d + 3*t + 16 = 0, -s*t - 2*t - 14 = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 1:27 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 30*r + 180 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 2*b**2 + b**2 + (0*b - 9*b + 3*b)*(-2*b - 3*b + 2*b))*(153*b + 349*b - 58*b).\nAnswer: 8436*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - d + 2. Let o be g(-2). Find the second derivative of -6*c**3 - 104*c + 0 + 98*c + o wrt c.\nAnswer: -36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**2 + 0*y + 0*y**4 + 1\/27*y**3 - 2 - 1\/270*y**5. Let b(i) be the second derivative of x(i). Factor b(s).\nAnswer: -2*(s - 1)*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c**3\/3 + 2188*c**2 - 18548*c\/3 - 1324 = 0.\nAnswer: -331, -1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 4*z + 28 = 0, -p - 6*z = -2*z - 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 684207, 1368413, 2052619, 2736825?\n\"Answer: 684206*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 256725.\nAnswer: 2053800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2933.987696 rounded to 0 dps?\nAnswer: -2934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -647\/5 + 129. Which is smaller: -3 or x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 145, 160, 179, 202?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -1*(0\/2 - 2\/2) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**4 + 1354*s**3 - 8190*s**2 + 16438*s - 11066. Let v(g) = -g**3 + g**2 - g + 15. Let i(a) = -f(a) - 6*v(a). Let i(l) = 0. What is l?\nAnswer: -343, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246, -248, -252, -258, -266, -276?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 328 = -0*l. Let y = 250 - l. What is y rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11726351.65 + -11726357.10999703. Let t = h + 5.46. Round t to seven dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + (0 - 4) - -29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (35\/(-14) - -3)*(-6)\/(-3). What is the smallest common multiple of 164*m - (21 + -17) and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 0.2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -205*h**4 - 5776*h + 5193*h - 577*h**4 wrt h?\nAnswer: -9384*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2 = -2*g, 10*c - 6383*g + 6378*g - 5 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9323168665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0 = 1. Solve -2*r + 7 + w = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1991*f + 13976. Determine t(-7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -2, -1, 2 in decreasing order.\nAnswer: 2, -1, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p + 85 + 71 + 89 - 209. What is the smallest common multiple of 40 and u(8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 29 = -w, -41*c + 40*c = -w + 35. Suppose -w*f + 12448 - 1393 = 0. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r + 2. Let p(t) = -4*t + 3. Calculate 5*p(c) - 6*s(c).\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 280388 in ascending order.\nAnswer: 1, 2, 280388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 2*g - 34. Determine r(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2. Let k(m) = 0*m**2 - 5*m**2 - 61 + m**2 + 2*m**2. Give k(l(p)).\nAnswer: -8*p**4 - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7447 is divided by 1858.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3461868539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*q - 19, 18 = 4*q + 4*h - 2. Let l(o) = -39*o**3 - o. Let p be l(-1). Factor p*y**2 - 36 - 21*y**2 - 23*y**q + 24*y.\nAnswer: -4*(y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h\/h**(-16\/7))))\/h)\/h**(-3\/7))\/(((h**8*h)\/h)\/h)**(-42) assuming h is positive.\nAnswer: h**(2077\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*m + 1 + 12 = 0, 5 = 3*w - 2*m. Let x(t) = -7 + 6*t - 2*t**3 + 4*t + w*t**3 - 7*t**2. What is the units digit of x(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16089 and 58993.\nAnswer: 176979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5 = 0, -3*a = 91*s - 89*s - 9428. Does 82 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*j + 4*h + 22, -2*j + 44 = 2*h. Suppose -4*b = p - j, -p - 4 + 0 = -3*b. Let f(x) = x**2 - 7*x - 12. Calculate f(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1310067 and -49\/621.\nAnswer: 30131541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21101 + -341?\nAnswer: -21442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 7 = -3*t, -4*t = -3*h - 4 - 7. Let m(j) = -j**2 - 9*j - 2. Let d be m(-8). Let l = t + d. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 12*f + 7. Let n be 33\/(-3)*(2 + -1). Let d be j(n). Suppose 0*g - d = -3*g - 2*z, -3*g = -4*z. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddoh when four letters picked without replacement from eecdecocdeceeheooec.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22835*f**2*v**2 - 13*f**2*v - 43*f**2 - 3*f + 1 wrt v.\nAnswer: -45670*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66847*p**2 - 33410*p**2 + 2*p**3 - 33437*p**2.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 44, -1\/3, 86, -1, 2?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 4*w + 3*z, 134*w - 269*w = -131*w + 121*z - 1343 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 2. Let m be x(8). Let n be 6\/15*(12 - 2). Suppose 0*p = 4*p + 5*v - 3, 5*v = n*p - 13. Solve -p*s + m*s - 12 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b + 32e?\nAnswer: 2e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - 12) + (-10400)\/(-280).\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 167 and 668?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 1)\/10*(-12)\/(-666). Which is bigger: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3419007 is divided by 2669.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/1)\/(1*4\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 15*n**2 - 7*n - 45. Is a(-15) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1512.05505 + -1883.043. Let q = 371 + i. What is q rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -5*t - 3*m + 6*m + 53, -m + 1274 = 1285 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*141.\nAnswer: 84.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 70, 3\/2, 5\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*x - 6 = -0, z - 4*x = 10. Is 60\/10 - 50082\/z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-4)\/3)*(2883\/62)\/31?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13080 is divided by 2533?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.09 - 0.09. Let t = m - 12. Suppose -4*d - 2*n + 0*n + 18 = 0, 0 = -2*n + 2. Sort d, t, 1.4 in descending order.\nAnswer: d, 1.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + (-5*sqrt(63) + sqrt(7) + (sqrt(7) - (2*sqrt(700) - sqrt(700)))**2)*6 + -5).\nAnswer: -3398 + 84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1663895559 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*r - 1609*r + 21759*r.\nAnswer: 20401*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -241463\/1058 less than or equal to -229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -2161 + 589. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-48)*18\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2313 = 61*f - 1783 + 1109 - 734 for f.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87433?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/2 of a century?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 8*l = 36*l - 1699489. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Suppose a*i - 20 = -i. Suppose -2*l - i*p = -71, 2*p = -3*l - 0*p + 101. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14622 is divided by 2924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**3\/2 + 73494*j**2 + 1323111*j\/2 + 588060 = 0.\nAnswer: -8, -1, 49005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-20\/3)*z\/(z*z**18))**6 assuming z is positive.\nAnswer: z**(-142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20\/(-35))\/(2\/(-14)). Suppose h*k + 14 - 38 = 0. Let g(a) = 4*a + 3. Let p(t) = t. Determine k*p(j) - g(j).\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3632*x**2 - 3*x**3 + 3632*x**2.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26607885*q**5 + 426485*q**2 - 4?\nAnswer: -1596473100*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 15. Let r = 381 - 383.07. Let w = r + v. What is w rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -m + 8. Let q be -1*(-2)\/4*m. Let d be (-4)\/(-14) - (-17)\/(-35). Is d at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 377 = 8*b - 3*b, 5*b - 381 = -i. Calculate the remainder when b is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 - 4. Is g(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 814160 = 4*k, -28*k + 30*k - 407074 = 4*y. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-18)\/15)*(-1836 + 1813)?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2\/5, 0.3, 490, -0.1 in increasing order.\nAnswer: -2\/5, -0.3, -0.1, 0.3, 490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -976*z - 1554765. Determine h(-1593).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -23 - (6 - 10) - (3 - 1)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1677462*b**3 - 1150113*b wrt b?\nAnswer: 10064772*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1100110 (base 2) to base 5\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40604722.\nAnswer: 2, 20302361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 7*b**2 + 13*b - 7. Let k(t) = -4*t**2 - 7*t + 4. Let l(s) = 5*k(s) + 3*z(s). Suppose 181 = -82*o - 25*o - 354. Calculate l(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -3 + 6 + -2. Let n be 1 - -16*(l - 0). Suppose 5*i - 3*p - 39 = 0, 2*i + p = 7*i - n. Solve s = -2*s + i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -u - 6538, 3*u = 16*a - 12*a - 6534. What are the prime factors of a?\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z**1*z)))\/((z\/((z*z**(-4))\/z))\/z) assuming z is positive.\nAnswer: z**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 92, 309, 670, 1175, 1824?\n\"Answer: 72*b**2 + b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 405800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 5\/6*y**3 + 5\/6*y**4 + 0*y - 5\/3*y**2 = 0 for y.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/(-5 + -2*((-165)\/20)\/3). Sort 4, -1, c, -3, -5.\nAnswer: c, -5, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 + i - 1. Give u(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 800 and 8800?\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b + 14*b - 18*b - 35*b + b.\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (33 + (10 - -29)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37.02 + 0.02. Let x = 36.9999995 + g. What is x rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.01931689 - 8.789317. Let t = 0.23 - c. What is t rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 1. Let s(b) = 4*b**2 + a - 7. Let u(v) = -3*v**2. What is s(u(d))?\nAnswer: 36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109435*u**2 - 346496*u**3 - 109435*u**2 + 346482*u**3.\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/2*p**2 + 60 - 27*p = 0.\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwhowo. What is prob of sequence phpo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 388 and 244233778?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -158 or -337511\/2156?\nAnswer: -337511\/2156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4949.673 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -20*d + 11. Let x(n) = 4*n - 2. Let w(v) = 4*p(v) + 22*x(v). Let l(z) = 2*z**2. Give w(l(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 7*y + 9. Let c be (-1)\/(9\/(-39))*3. Suppose 0 = -5*p - c + 53. Calculate the remainder when j(6) is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11de (base 15) to base 12.\nAnswer: 2255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2569774099 to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 140890 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-4))\/((-2)\/(-4)). Let n be (4\/16 + 0)\/(-1*(-20)\/(-240)). Let q = -26 + 24. What is the biggest value in n, q, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6018.5 - 0.36\nAnswer: 6018.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 8. Let s be ((-2)\/(-24))\/(3\/t). What is the nearest to 1\/2 in 3, s, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24611963\/20 - -1231390. Let a = d - 792. Let b = 1\/7452 - 20287\/7452. Calculate the common denominator of b and a.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27 + -2562 + 44\/(-4). Round i to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16833\/27)\/(-31) - -21\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**7\/945 - g**6\/108 - 2*g**5\/135 - 78*g**2 - 31*g - 2. Let o(f) be the first derivative of b(f). Factor o(p).\nAnswer: -2*p**2*(p + 1)*(p + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -3 (c) -2 (d) -0.1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.09 equal to -1.692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 1. Let z(p) = -2*p**3 - 8*p**2 + 2*p - 10. Let r(f) = -10*g(f) - z(f). Factor r(b).\nAnswer: 2*b*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24*8\/(-80))\/((-2)\/(-5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(121) + (sqrt(121) - (sqrt(121) + (sqrt(121)*-1 - sqrt(121)))))\/sqrt(11) + -2)**2 - (3 + 5*(-1 + sqrt(539))**2).\nAnswer: -3218 + 130*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 494278 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**4\/4 - 59*q**3\/6 - 3709*q**2\/2 - 1051*q. Differentiate n(u) wrt u.\nAnswer: 6*u - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 9 - 20*p**3 + 11*p**3 - p**2 + 6 in the form r*p + g*p**3 + a*p**2 + f and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -22*r**2 + 5*r - 7. Let t(j) = 11*j**2 - 3*j + 4. Determine -5*t(b) - 3*u(b).\nAnswer: 11*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5552 by 1388.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -10*b + 7. Let g be i(-4). Suppose -t - g = -4*a - 4*t, -2*a + 40 = -4*t. Solve 4 = -5*y + a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 50164? (a) -2\/107 (b) 0.4 (c) 1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1784?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 7 = g + 6*z, -2*g = 3*z - 4. Solve 0*f - g*f = 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfgdt. Give prob of picking 1 t and 1 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/537, -2.7, 1, -69?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 3. Suppose 3*n + 9 = 0, -n - 3*n = 2*a + 2. Let y(j) = 3*j - o*j + a*j + j. Let h(s) = -2*s. Give h(y(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1337 and 928833?\nAnswer: 6501831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1959 - 2884. Let m = -914 - v. Calculate the least common multiple of m and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.31 + -0.94. Let z = 1.968 + x. What is z rounded to two decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 0, -1, -35.4.\nAnswer: -35.4, -1, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3217138 + 16886098 = 0. Let r = -12804480 + p. Round r to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 426132*f + 7670052.\nAnswer: (f - 426114)*(f - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 - 3*q + 6. Let u(i) = 3*i**3 - i**2 + 4*i - 6. Calculate 4*p(z) + 3*u(z).\nAnswer: z**3 - 3*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/4)\/((-3)\/(-2976)). Let o = r + -1436. What is o rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61\/35 - 8\/5. Let u = -0.1193 - -0.0193. What is the closest to u in 2, -1\/4, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 + -5 + (4 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 3*b + 6 = 0, 32 = 5*f + 2*b - b for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1990 or 3\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s + 6*s**2 - 8*s**2 + s**2 + 2. Determine d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 3:30 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**4 + 77*y**2 - y**4 + 2*y - 97*y**2 - 2*y**3 to the form a*y**3 + r*y**4 + x*y**2 + i*y + l and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**2 + 42*q + 39 = 0. Calculate q.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-6\/11))\/p**9)**(3\/23) assuming p is positive.\nAnswer: p**(-249\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -966*b*i*u*x - b*i*u + 24*b*i*x - b*i - 2*b*u + 3*b*x + 221*b + 4446*i - u*x with respect to x.\nAnswer: -966*b*i*u + 24*b*i + 3*b - u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((5 + -14 - 1) + 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**4\/12 + 7*c**3\/2 - 17*c**2 + 16*c. Let o be r(-22). Let z = o + 37. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -i - 2246, 2*z + 2*i - 896 = 3*i. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -66*t + 140*t - 71*t - 2. Let s be b(2). Is 4 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 12. Let q be x(-10). Suppose q = k - 3. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -24, 18, 90?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*c**4 + 3*c**2 + 3*c**2 - 7*c**4 - 8*c**6 wrt c.\nAnswer: -960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 2:23 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w - 5*w - 5*w + 5*w - w**2 - 7. Let p be v(-3). Solve -3*m = -5*m - p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*g - 34 = 0, 2*z - 59 = -0*z - 3*g. What is the least common multiple of (4\/(-6) - -1)*(4 - -2) and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**4\/24 + 2*a**3\/3 - a**2 + 1. Let i(t) be the second derivative of q(t). List the prime factors of i(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 3813598.\nAnswer: 3\/3813598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -196, -62, 2, 1.\nAnswer: -196, -62, 1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 46 = -10*m, 1382*s - 1384*s + 18 = -3*m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b + 6. Let u(w) = -8*w + 17. Let j(a) = -11*p(a) + 4*u(a). Let m be j(-8). What is the greatest common factor of m and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -0.7. Let a = 0.5 - l. Let q = 0.2025 - a. Round q to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.58 - -15.08. Let y be (1\/2)\/(3\/(-12)). Put -0.3, y, 4, q in decreasing order.\nAnswer: 4, q, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -10. Let x(r) = r - 1. Let b(t) be the second derivative of t**3\/2 + 3*t**2\/2 + t. Let y(d) = b(d) - 2*x(d). Calculate y(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -h + 9*h. Let i(d) = -d - 15*d**2 + 8*d**h - d**3 + 4*d**2. Give i(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - -12. Let j = 13 - m. Let i = j + 54. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 3*p = 0. Let k(c) be the third derivative of -5*c**2 - 1\/40*c**6 + 0*c**5 + p*c + 1\/8*c**4 + 0*c**3 + 0. Factor k(s).\nAnswer: -3*s*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j**(-2\/9)*j)*j)*j)**(24\/7))**(-27) assuming j is positive.\nAnswer: j**(-1152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 91, -4\/39, 1\/3, -2\/17, 0, -0.4, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(170))\/(sqrt(160)*-3 - sqrt(160) - sqrt(10)).\nAnswer: -8*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8)*x**(-9)\/x)**(-25)\/((x*x*x**(2\/9)*x*x*x*x)**(-13)\/(x**2\/x**7)) assuming x is positive.\nAnswer: x**(4733\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(750\/(-90))*(-75)\/70)\/(24\/14).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21147132 is divided by 133?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2 - 289200*h + 10454580000 = 0.\nAnswer: 72300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 3\/4, -32, -0.3, -2\/11?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*o. Suppose o*m - 2*c - 24 = -2*m, 0 = -5*m - 4*c + 60. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82.9 - -83. Let l = -2.1 + 1.4. Let h = 3.3 - l. Which is the third biggest value? (a) h (b) s (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 11*f + 408 - 89 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Suppose c*r - 60 = 3*r. Let o be 4\/(-16) - 13\/r. What is the third smallest value in -0.2, o, -1\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 29775, 29773, 29771, 29769, 29767?\n\"Answer: -2*h + 29777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 212*b**2 - 25 - 100*b**2 - 2*b + 2*b - 105*b**2 in the form i*b + a + t*b**2 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 577988387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/1 - 1 - -1. Suppose -t - r - 13 = -3, g*t + 34 = -r. Let k = -12 - t. Solve 5*y + 5 = -4*x + 2, 5*y + 15 = k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 41*p**2 - 560*p - 29. What is w(52)?\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164256*a = -164281*a + 725 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -3.7. Let r = 33.531 + -28.531. Which is greater: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 6*l**2 + l + 3. Suppose -j = y + 2*y - 81, -3*y + j + 81 = 0. Suppose 3*q = -9 + y. What is the lowest common multiple of 6 and t(q)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 154*h**4 - 49*h - 150*h - 297*h**4 wrt h?\nAnswer: -1716*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -610 - -1036. Let v = p + -327. What is the highest common divisor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/315 and 93\/106610?\nAnswer: 959490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4539578l to millilitres.\nAnswer: 453.9578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -10*f - 44 + 571 + 688 + 64. Is d(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 12817697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1701) + sqrt(1701) + -3*sqrt(1701) - 3*sqrt(105)\/sqrt(5))\/((6*1*sqrt(28))\/(-6*sqrt(4)*-2)).\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 842682258 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -304 - -303. Let w = -5.4 + 5. Let t(v) = v + 3. Let b be t(-8). Sort b, w, f in decreasing order.\nAnswer: w, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**5\/7 - 211*s**4\/7 - 2797*s**3\/7 - 7629*s**2\/7 + 10638*s\/7 = 0.\nAnswer: -197, -9, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 544, 2035, 4526, 8023, 12532, 18059, 24610?\nAnswer: 32191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-4200)*36)\/3.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -20*f - 16. Let j be s(-1). Solve 2*t = j*i - 10, -4*t = -3 + 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44935, 90863, 137745, 185575, 234347?\nAnswer: 284055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-35)\/(-3) - (-3)\/9. Suppose -5*d + 4*d + b = 0. Calculate the remainder when 47 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + 11)\/1 - 3. Suppose -3*w = -4*n - y*w + 688, 2*n - 338 = w. List the prime factors of n.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + 11a85a0?\nAnswer: 11a85a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -0.1, -20296, -2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 941755?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/276396 and 65\/365556?\nAnswer: 11332236","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -1\/12 (b) -5.6 (c) -69 (d) -3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*u + u = -24, i - 3*u = 19 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 + -10?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 9*p + 41. Let j be q(21). Let z = -280 + j. Solve -4 = -3*i - z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 2:27 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26468 - -46950. What is the thousands digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(1 - 3)*1. Let m = 1 - 4. Sort m, -1, 2, y in descending order.\nAnswer: y, 2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 552145.1 hours to microseconds.\nAnswer: 1987722360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1639?\nAnswer: 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3016 + -5?\nAnswer: 3011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 4, i: 6}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 796994503715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -46*r**2 - 736*r + 2. Let w be n(-16). Suppose 0*m - 2\/5*m**w + 2\/5 = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z - 4. Let f(x) = 98*x. What is f(d(o))?\nAnswer: -294*o - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 0.4. Let l = 0.1 + k. Let o = -5.11 - -0.11. Put -2, l, o in ascending order.\nAnswer: o, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158072*f + 158067*f = 3*u + 5, 5 = 4*u - 5*f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6981 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -0.1 (c) 0.2 (d) 120 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from {l: 1, w: 1, t: 1, k: 1, d: 1, a: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from {j: 1, v: 1, k: 2, y: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -82000 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/4 and -17\/247524.\nAnswer: 247524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6*(1 + 24\/3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)*f*f**1\/f*f**(-1\/7)\/(f\/((f\/(f\/(f*f**(-1\/6)\/f)))\/f*f)))\/((f*f**(2\/7)*f)**17\/(((f**4*f)\/f)\/f*f**(-2\/21))) assuming f is positive.\nAnswer: f**(-1901\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**2. Let c(r) = 3*r - r - 5*r. Determine o(c(k)).\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53978 divided by 6.\nAnswer: -26989\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (6 - -1 - 2 - -1 - 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c*c**2))\/c*c)\/c)\/c)**(-22)*(c*c**(-1))\/(c\/c**(-4)) assuming c is positive.\nAnswer: c**83","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 20*g**2 - 4810*g + 78024. Determine u(223).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.00436 + 577.8807\nAnswer: 577.87634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81514857*k**5 - 1972*k**2 - 7599*k wrt k.\nAnswer: 4890891420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/9606 and 63\/1430?\nAnswer: 6868290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 90 = 350. Suppose -100*c + 113*c = y. Suppose 4*r - 4 - 8 = 0. Solve 17 = 4*j + 3*z, r*j + j + c = 4*z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 1\/5, -5, -30?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -973*c + 43784. Give s(45).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 105\/2*(-18)\/(-15). Suppose 1137 = k*u - 60*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n**2 - 13*n - 1. Let r(s) = -s**2 - s + 2. Let c(b) = h(b) - 5*r(b). Give c(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -334, -10, -5 in decreasing order.\nAnswer: -5, -10, -334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3774 - 24179?\nAnswer: -20405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwwiihhiwihii. Give prob of picking 1 x, 1 h, and 1 i.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 185282943059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -8. Suppose -n = a*n - 63. What is the remainder when 83 is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2)*2*-2. Suppose 0 = -j*z + 2, -3*m + 8*m - z - 9 = 0. Solve n + 0 + m = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 (base 7) in base 6?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6790 - 9860 = -9*q. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -6. Let g(i) = i**3 + y + 3*i + i + 8*i**2 - i. Let f be g(-7). Solve 0 = o - 5*k + 15, -5*o - 2*k + f = -k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2\/5))**(-8))**3\/((a*a\/(a\/(a*a*a**(-2\/9))))\/(a\/(a*a*a\/a**(-4)*a*a*a*a*a))*(a\/(a\/(a*(a\/a**(-1))\/a*a)))\/((a**6*a)\/a)) assuming a is positive.\nAnswer: a**(-1997\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 997139?\nAnswer: 11, 13, 19, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(-1 + 1 + y) + (3*y - y - 4*y)*(-2 - 7 + 2) - 1 + 1 - 2*y.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.7141.\nAnswer: 0.14282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -36163 (base 7) to base 8\nAnswer: -22213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(24\/(-30))*(-1)\/3.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4\/(12\/291) + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 + -505*(-22 + 11) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csuzouuzuzuouvz. Give prob of picking 2 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 150 + -150. What is the nearest to -0.1 in 6, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -21. Let z be (-1*(0\/(-2))\/3)\/b. Suppose 2*d + 40 = 4*i, z = 2*i + 2*d + 3*d - 8. Is i greater than or equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 883*l**6\/30 + l**5\/10 + 3421*l**3\/6 + 5*l - 29. What is the second derivative of q(z) wrt z?\nAnswer: 10596*z**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36228 and -6.\nAnswer: 217368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**5 + 832*m**4 + 41564*m**3 - 177232*m**2 + 134832*m = 0.\nAnswer: -106, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k**2 + 1. Let d be v(1). What is the nearest to d in 5, -5, 1\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g - 1. Let o be f(1). Let s(m) = m**3 - 4*m**2 - 9*m + 4. Let t be s(o). What is the greatest common factor of t and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29.974 - 30. Let n = 0.474 - s. Which is the second biggest value? (a) -3 (b) 1\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30795 - -3?\nAnswer: 30798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.15 - 36.15. Let w = -40 - k. Sort w, 2\/19, -1 in ascending order.\nAnswer: w, -1, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 1 - 0) + 2. Suppose -96 = 4*u - 2*a, 4*a = 2*u - w*u - 28. Let j = u - -31. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 89. What is the remainder when u is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 4, -32, -106, -224, -392, -616?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 337 + -220. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + i)*(-7 - 7 + 6) - i + 3*i + 2*i + 0 + 0 + i to the form j*i + x and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, e: 3}. Give prob of picking 2 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/7*y - 9\/7 + 1\/7*y**2 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2729)\/(-54580) + (3185\/(-5700))\/13\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3*m)\/m**7)**25*m**(-3)\/(m\/m**(-1))*m**(-2\/3)\/(m\/(m*m**(3\/5))*m) assuming m is positive.\nAnswer: m**(-1216\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 17050490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 a factor of 18144194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 99 + -77 + (-40 - -88)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 701652375 a multiple of 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 91*o - 348. Calculate the remainder when 2894 is divided by d(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**3 + 3*n**2 - 3*n**2 - 19 - 6*n - 8*n**3.\nAnswer: -13*n**3 - 6*n - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5 - 1 = 0. Let x = -6 - y. Solve 3*z + z = x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 94 + 3 - 1*-2. Let q(o) = -o + 32. Let d be q(-19). Let j = r - d. 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: Let i be (-2)\/(-6) + (-75)\/(-45). Suppose 5*c + 41 = 4*o, -2*c = i + 8. Solve 2*b = 3*d - 13, d + o*b = 2*b - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/92 and -41\/20.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 197*g**2 - 16. Let n(x) = -85499*x**2 + 6948. What is -4*n(v) - 1737*z(v)?\nAnswer: -193*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -11*u**3 + 5*u**2 - 5. Let s(r) = -6*r**3 + 3*r**2 - 3. Suppose 5*a - 15 = 2*j, -5*j = -0*a + 4*a - 45. What is a*s(d) - 3*q(d)?\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*c = -9. Let h be (-30)\/c*(-4)\/(-10). Let a be -1 + 4\/(8\/6). What is the greatest common divisor of a and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29474.\nAnswer: 2, 14737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 14. Solve 4*r + z = -4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-5))\/(p*p**(-3\/4)))\/(p**1\/p*p*p**2\/p) assuming p is positive.\nAnswer: p**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 355, 373, 403, 451, 523?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - 1 + 1)*(-3*g + 1 - 1)*(-3*g**2 - 7*g**2 + 0*g**2) in the form r*g + z*g**4 + x*g**3 + t*g**2 + v and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 15*w + 25. Let z be 13 - (8\/(-12) + (-4)\/3). Is s(z) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - x + 1. Let b(u) = 4*u**4 - 21*u**2 + 47*u + 5. Let q(p) = -b(p) + 4*z(p). Find the second derivative of q(h) wrt h.\nAnswer: -48*h**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -10. Let w be r\/(-6) + (-22)\/(-6). Let g = 48 - 42. Calculate the highest common factor of w and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1)*r)**(-43)\/(r**1)**(-2\/81))\/(((r\/r**(-1))\/r*r**3*r)\/(r*r**0)**(-24)) assuming r is positive.\nAnswer: r**(-5830\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r + 5*g - 56, 4*g + 30 = r. Let k(f) = f**2 + f - 4. What is the smallest common multiple of k(-3) and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134944041 + -0.296453.\nAnswer: -134944041.296453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72172767 is divided by 29?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, 15, -3\/8, -0.4 in increasing order.\nAnswer: -94, -0.4, -3\/8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*d = 6, 5*x - d - 2*d - 21 = 0. Suppose f - 33 = -3*c - 11, 0 = -3*f - x*c + 36. Solve z = 3*r - f, 2*r + 2*r = -2*z + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4 + 256*n + 1.\nAnswer: 256*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4721739 divided by 6221.\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.157 - 1.585072\nAnswer: -1.428072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2350.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 1:59 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/5 - 4758693*o\/5 - 4758694\/5.\nAnswer: (o - 4758694)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 19 = q, 32*q - 3*f - 29 = 27*q. Which is the closest to 2\/3? (a) q (b) 2\/5 (c) -0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17186, 68732, 154644, 274922?\n\"Answer: 17183*y**2 - 3*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128 + 128. Let z = 0.1 + -0.3. Which is the nearest to u? (a) z (b) 1\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -37, 4, -0.05, 32, 1\/3 in decreasing order.\nAnswer: 32, 4, 1\/3, 0.2, -0.05, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 190 - 188. What is the second derivative of 10*f**x + 4 + 61*f - 5 - 123*f + 2*f**3 + 80*f wrt f?\nAnswer: 12*f + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10962855 rounded to three dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4452 divided by 6?\nAnswer: -742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4752) + sqrt(4752)*2 + -3*sqrt(33)*-5)\/((sqrt(77) + sqrt(77) + -1*sqrt(77)*-5)\/((sqrt(56)*1)\/sqrt(8))).\nAnswer: 51*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 11 = 6*q. Let h be 1*(-1 + 32 + -2). Let d = h - q. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170476, -170478, -170480, -170482, -170484?\nAnswer: -170486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2513 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(3\/(-1 + -38)). Let s = 17 + u. What is the lowest common multiple of 6 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a day in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -288 (base 13) to base 8\nAnswer: -702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280193 and 28937?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11580673 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8403.\nAnswer: 3, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*a = 4, -3*n + 4*n + 4 = -3*a. Let f be 3 + (1 - n) + -4. What is the tens digit of (105\/(-2))\/7*f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1085, -1099, -1113, -1127, -1141?\nAnswer: -1155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17347000 rounded to the nearest 10000?\nAnswer: 17350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p - 3. Let b(c) = c**2 - 9*c + 8. Let k be b(7). Calculate the remainder when 8 is divided by m(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 12*u + 23. Calculate c(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.1, 1\/22 in descending order.\nAnswer: 8, 1\/22, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 801 - 798. Suppose -5*l = -0*l + 60. Let g be l\/(-9)*(-6)\/(-4). Solve 0 = -a*c - 5*h + 13, -g*c = -5*h + 43 - 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = -1. Let b be 2\/(j\/(12 - -2)). What is the highest common divisor of b and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -72*d**5\/7 - 444*d**4\/7 + 1096*d**3\/7 + 292*d**2\/7 - 232*d\/7 - 64\/7 = 0?\nAnswer: -8, -1\/3, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -29*u + 58, 32*u - 30*u = 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 42*p. Let u(c) = 6*c. Determine u(i(d)).\nAnswer: 252*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2644 + -2640. Solve -2*c + w*g = 12, -116*g + 114*g = -5*c + 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*y**5 - 90*y**4 - 273*y**3 + 360*y**2 - 108*y = 0. Calculate y.\nAnswer: -2, 0, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3 = -2*d. Suppose 0 = d*h + h - 16. Suppose -5*r = -h*s + 43, -s + 1 = 3*r + 3. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l + 32 = 15*l - 4*k, -3*l = -k - 26 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 83*l + 733. Let v be o(-8). Which is the biggest value? (a) -1\/25 (b) -3\/7 (c) -1 (d) -0.06 (e) v\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (2 - (0 + 3 + 15 + -22)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2430304, 4860628, 7290968, 9721324, 12151696, 14582084, 17012488?\n\"Answer: 8*j**2 + 2430300*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 2*v**2 - 6*v**2 + (-5*v + 4*v - v)*(v + 3 - 3) - 1 + 1 - v**2)*(3*v - 3*v + v).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*d - 287, d + 3*d + 5*f = 408. Let b be ((42\/(-13))\/(-3) - 1) + 3999\/403. List the prime factors of d - (4\/5 - (-32)\/b).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5\/4 + 227*u**4 + 11067*u**3\/4 - 12427*u**2\/2 + 3220*u = 0. Calculate u.\nAnswer: -14, 0, 1, 920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3, 1, 2, -14 in decreasing order.\nAnswer: 2, 1, -3, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -780 divided by -130\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 - 2*b - 1. Calculate o(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, -12, 4, 16, -56 in descending order.\nAnswer: 109, 16, 4, -12, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 243 - 43. Let m = 121 - s. Let l = 134 + m. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-280)\/(-1008)*(-8)\/10\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*t - 2 + 16 = 0, 3*z + t = 19. Let o be (-4)\/(-5) + 1\/5. Let n = z - o. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 34*m**2 - 804*m - 26942. Let b(c) = 13*c**2 - 268*c - 8981. Let n(t) = -8*b(t) + 3*s(t). Solve n(p) = 0.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 3*p - 1. Let b be g(-5). Suppose 4*t + 268 = b. Let l = t + 93. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 + 257 - 65)*(-8*s - 8*s - 30*s + 9*s).\nAnswer: -4551*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-10)\/a**(-13) assuming a is positive.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-97592)\/(-21071) + ((-30)\/(-75) - 27\/5)?\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/21 at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 3*p**2 + 2*p + 1. Calculate the remainder when 32 is divided by t(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*u**6 - 2037*u**3 - 953481*u**2 wrt u?\nAnswer: -4080*u**3 - 12222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2839 - 2825. Solve y*m = 20*m + 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*l - 1 - 127*l**2 + 3103*l**3 - 138*l - 348*l**3 + 98*l wrt l?\nAnswer: 16530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570 a factor of 24442170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 93 = -3*v, 12*v + 511 = 3*p + 856 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137935118?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 23*w**5\/20 - 20*w**2 - 22*w. Differentiate f(l) wrt l.\nAnswer: 69*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -46710944.\nAnswer: -46710943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -746, -749, -754, -761?\n\"Answer: -t**2 - 745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -k - 13, -q - 2241 = 5*k - 2254 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1072 and 603.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*x + 4842 = 0. Suppose -5*f + x = -691. Round f to the nearest ten.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3328433000 rounded to the nearest 1000000?\nAnswer: 3328000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zttmpppmncpt. Give prob of sequence pz.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 9*u - 2*u + 21*u)*(2 - 2 + 1).\nAnswer: 28*u + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5391635.\nAnswer: 5, 17, 137, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 69*w**3 - 3380*w**2 - 66289*w - 960 = 0.\nAnswer: -15, -1\/69, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -10, 0*j + j - 2 = 4*m. Which is the nearest to 0.1? (a) 1.5 (b) 4 (c) m (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 = -3*k + 177. Let s = k - -79. Does 32 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28846 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, -0.0606124, 2\/9?\nAnswer: -0.0606124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1058, 0.3, -4, 33?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4602 (base 7) to base 5.\nAnswer: 23133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y + 4. Let f be x(5). Let q = 9 + 7. Calculate the highest common divisor of q and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*d - 1020 = -99*d. Let p = 294 - d. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 983267.3 years to centuries.\nAnswer: 9832.673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -381 and -384 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -135 + 332. Find the second derivative of -52*y + 36*y + 22*y - a*y**2 - 5 wrt y.\nAnswer: -394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4191186611 to the nearest integer?\nAnswer: 64739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-14)\/3*(-24)\/(-84).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -178 - -403. 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: Two letters picked without replacement from zsojjopjowojjjwjo. Give prob of sequence ww.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 9*n - 172. Calculate k(16).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/35 and -113\/50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -565 - -567. Let r = -34 - -59. What is the third smallest value in 1, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -289520 divided by -40?\nAnswer: 7238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3. Let l = 1 + 0. Let w = 8.55 + -3.55. Which is the nearest to l? (a) w (b) q (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -17*y + 13. Let s be l(9). Let r be 4\/(-14) - s\/147. Factor -7\/3*x**2 + 0 - r*x.\nAnswer: -x*(7*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 14 = 3*r + 2*r, b + 6 = 2*r. Suppose b*w - 3*w = -2. Let d(a) = -4*a + 4*a - a + 5*a**w. What is d(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/(w*(w\/(w\/(w**(-27)\/w)*w))\/w))\/w*w))\/w)\/(w*w*w**(1\/32))*(w*w\/w**(-11))\/(w*w**(2\/17)\/w) assuming w is positive.\nAnswer: w**(-10417\/544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -1017, 3, -5, 219 in increasing order.\nAnswer: -1017, -5, 0, 1, 3, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 7*t = 84. Suppose 0 = -0*n + 4*n + 5*p + 30, -5*n = 4*p + t. Let i = 56 + n. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530400 rounded to the nearest 10000?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/8 and 107\/108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c. Let w(j) = -10*j - 10. Let d(a) = 5*o(a) - w(a). What are the prime factors of d(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3422 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 144.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 + -41.7. Let l = q + 0.1. What is the smallest value in l, 0.8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15073469 and 233.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -910 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2. Suppose 16 = 10*o - 8*o. Let l(k) = o*k + 110 - 110. Determine l(p(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 13*q + 3 = 0, 4 = -3*m + 4*q. Which is the third smallest value? (a) 2\/5 (b) m (c) 88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88411?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 9:45 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.33 - -0.07. Let q(z) = z. Let l be q(0). Suppose 0 = 2*i - u, 3*i + 1 = -l*i + u. Put i, w, -0.3 in descending order.\nAnswer: w, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + 17. Suppose 3*b - 649 + 534 = 5*d, -3*b = -2*d - 127. Calculate the greatest common divisor of b and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 0.037, 15\/37, 1, -3\/2, -0.5, -2\/15?\nAnswer: 15\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3045, -6101, -9157, -12213, -15269, -18325?\n\"Answer: -3056*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2 + 30088*v - 113160968 = 0. What is v?\nAnswer: 7522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 205586020?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/14560 and -127\/5096?\nAnswer: 101920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -15*y - 107 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71990460 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 888 is divided by 432.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/47, -2, 0.006, -4\/15, 13?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + q - 10 = -m, -q + 2 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*y + 59 - 19 = 0, 5*s + 5*y = -40. Let g be (-117)\/2 - (-4)\/s. Let r = g - -66. What is the remainder when 38 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*n + 1 + (3*n + 0*n - 2*n)*(2 + 0 - 4))*(-3 + 3 + n)*(2*n - 915*n**2 + 369*n**2 + 277*n**2 - 3).\nAnswer: 1076*n**4 - 8*n**3 + 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243 divided by -3.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -428\/55 - -90\/11. What is the closest to -0.2 in g, 6, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33609 times -0.3\nAnswer: -10082.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*q - 23 - 64, 8 = t + 4*q. Suppose -87 = -3*r + 4*s + 17, -r + 3*s = -t. Calculate the remainder when r is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3573*h**2 - 4*h - 968. Let z(n) = -10716*n**2 + 11*n + 2940. Let c(p) = 17*x(p) + 6*z(p). Find the second derivative of c(g) wrt g.\nAnswer: -7110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -2 - (0 + 0). Let d be 2*3\/(-12)*f. What is the third derivative of d*z**2 - 3*z**2 + 2*z**3 + 6*z**2 wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.4, 2\/203, 2, -8, -1?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -9\/2*r**2 - 48 + r**3 - 30*r. Factor q(s).\nAnswer: 3*(s - 5)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1013 divided by -1\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 7:08 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 395811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12.044 + -120524716\nAnswer: -120524728.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - g)*((-2 + 6 - 3)*(0*g + 0*g - g) + 2*g + 4*g - 4*g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 5. Let n be a(5). Find the second derivative of 2 + 2*c + n - 2*c**2 - 2 wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c - 8 = 0. Let j be (3\/6)\/((-1)\/c). Let f = -72 - -83. What is the greatest common divisor of f and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.887343 centuries in months?\nAnswer: 1064.8116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 44.956. Let g = -0.044 - z. Sort -8, 1\/4, g, -0.1.\nAnswer: -8, -0.1, g, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w + 7*w + 13*w as q + c*w and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, e: 1, d: 1, y: 4, r: 1}. Give prob of sequence nde.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10825*r**3 + 8384.\nAnswer: -32475*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-46)\/(-299) + (-414)\/(-13). Solve -v - 4*v = 3*h + 13, 4*v - 3*h = -l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-5 - (-14 + 3 + -5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30566603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/26 + 26\/169. Suppose h*o = -2*o - 2*a, -o + 4*a = -5. Let c be (-3)\/(-3) + (1 - -1). Solve -q + 0*q - 2*j + 8 = 0, c*q + j = -o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 529566 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -3, -406, 6\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022 (base 4) to base 2.\nAnswer: -1001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 4. Let k be i(0). Suppose -k = -2*y - 2*y. Let o(x) be the first derivative of 4*x**3\/3 - x**2 + x + 6. Give o(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.402 + 1.402. Let k = -609\/5 + 134. Let p = k + -12. Which is the smallest value? (a) p (b) -1 (c) l (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 473749.427 to the nearest 10000.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z + 4*z + 5*z**2)*(31*z - 49*z - 56*z)*(-z + z + z) to the form h*z**3 + d*z**2 + b*z + o + j*z**4 and give j.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 29*t**2 + 2185*t - 24187.\nAnswer: -(t - 19)**2*(t + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.88 take away -53555.6?\nAnswer: 53591.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21845821 is divided by 616?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5456652 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 11727 = -145*u - 127*u + 2732 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9*k**2 + 9*k + 5. Suppose 2*a = -3*u + 8, -3*a - 2*u = -7*u - 12. Let x(c) = -5*c**2 - 5*c - 3. Give a*m(n) + 7*x(n).\nAnswer: n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (184\/(-10))\/(130\/(-325)). Suppose x = -u - 4*c, -38*u + 2*c = -34*u + 184. Is -223\/5 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 125822*t**2 + 125800*t**2.\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227, 1822, 6153, 14588, 28495, 49242?\nAnswer: 78197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 324*f**3*u**3 + 2*f**3*u - 33*u**2 - 7 wrt u.\nAnswer: 1944*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5\/2 - 2653*z**4\/2 - 182593*z**3\/2 + 960661*z**2\/2 - 681468*z + 293760 = 0. Calculate z.\nAnswer: -72, 1, 3, 2720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 56*w + 779. Let s be z(30). Is s <= -108\/253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from rrrppepeekr?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/8 - g**4 + 15*g**3\/4 - 4*g**2 + 11*g\/8.\nAnswer: -g*(g - 1)**3*(g + 11)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6392*s - 6399*s - 6393*s - 6389*s + 25584*s.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + (30 - (20 + 11)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 9*s + 4. Let t be f(-9). Suppose -3*y + 30 = -4*v, -42 = 3*y - 8*y + t*v. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7\/150?\nAnswer: -7\/150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 - -46. Suppose -3*a + 6 = -w. What is the first derivative of 4 - 17*k**2 + 0 + 23*k**a - 1 wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3321567841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354276510?\nAnswer: 2, 3, 5, 7, 71, 23761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9139 + 10929 + 627 - 2*d + 3*d.\nAnswer: d + 20695","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 15*z**2 - 5*z - 15.\nAnswer: 5*(z - 1)*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 13, p: 6}. What is prob of sequence vpv?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3135, 3141, 3151, 3165, 3183, 3205?\nAnswer: 3231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 184 = 3*p. Suppose 0 = -f - 2, -2*f - f = 2*m - p. Suppose -r - 60 = -4*d, 4*r = 2*d - 5*d + m. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/13 - 28\/(-13). What is the second derivative of 551*j**r + j**4 - 3*j - 551*j**2 wrt j?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-16)*(-18)\/(-15). What is the nearest to 0 in 5, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.15 + -0.85. What is the nearest to m in 4, -1\/8, 12?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -28\/9 in ascending order.\nAnswer: -28\/9, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 14*r**2 + 38*r - 65. Suppose 13*i - 73 - 135 = 0. What are the prime factors of l(i)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224899, -224839, -224779, -224719?\nAnswer: -224659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 + m**2 - 6*m**2 - 3*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 4*l - 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11564 divided by 14\nAnswer: -826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 65686939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40.9 - -40.8. What is the nearest to z in -3.3, -0.5, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -1) + -4 - 10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5*a + 14 - 6, -2*a = 2*m. Let b be (-1)\/m + 5 + -2. Suppose -2*t = -3*o + 1903, b*o + 2*t - 3177 = -3*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a - 8*a + 96 + 66 - 128 - 7*a - 4*a.\nAnswer: -12*a + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -8227 less than -8229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 5*z**4\/24 + z**2 - 13*z. Let t(i) be the first derivative of l(i). Let q(a) = 5*a. What is t(q(p))?\nAnswer: 25*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -23, -43, -71, -107?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53513466?\nAnswer: 2, 3, 8918911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w + 12. Let l be a(-6). Does 33 divide (198\/l)\/(2\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142 (base 13) to base 3.\nAnswer: 22021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3*c + 5*c - 3*c)*(-1 + 197055*c - 197057*c + 8 - 84*c**2) as s*c + x*c**3 + h*c**2 + i and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/7 + 3990*z**2 + 223568*z\/7.\nAnswer: -2*z*(z - 13973)*(z + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562023 is divided by 505?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -32\/3, 5\/2, -0.2, 1\/5 in increasing order.\nAnswer: -32\/3, -0.2, 1\/5, 5\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4*g - 14 - 6, d - 2*g - 8 = 0. Suppose 0 = -0*l + 5*l - 90. Suppose d*a - l = a. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 200 or -16?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**3 - 5396*s**2 + 245136*s - 468720 = 0.\nAnswer: 2, 45, 1302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2, -1\/2, -83 in decreasing order.\nAnswer: 2, 1\/4, -1\/2, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6663.999994971 + 6664. What is v rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36\/24*(-10)\/(-3). Suppose -2*n = 3*n + 5*y - 515, -2*n + u*y + 192 = 0. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 + 3*b**2 - 3*b + 2. Determine q(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*s**3 + 13*s**3 + 17*s**3 - 7*s - 3*s**3 + 7*s + (0*s + 2*s + 0*s)*(2*s**2 - 5*s**2 + 2*s**2).\nAnswer: 13*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1630 divided by -1?\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {j: 1, v: 2, n: 1, m: 1, w: 1, f: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 2. Let z(a) = -263*a**2 - 1052. What is -526*s(w) - z(w)?\nAnswer: -263*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -5*d**2\/2 - d + 5. Let t be u(-1). Solve t*a - 5*y - 3 = 0, 5*a = 6*y - 3*y + 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8274*-329.\nAnswer: -272.2146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 47. Let j be 2\/m*8 + 6. Suppose j*x = -4*x + 280. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189587, -188868, -188149, -187430, -186711?\nAnswer: -185992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 504 and 1505064?\nAnswer: 31606344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 146252*b - 2673705938.\nAnswer: -2*(b - 36563)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 2*w - 113 + 59 + 54.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1260 = -12*y - 6*y. Calculate the greatest common factor of 80 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 2*w + 2*w + 2*w - 4*w - w + (-w + 1 - 1)*(0 + 5 - 3) + 4*w + w - 3*w)*(68*w**2 + 58*w**2 - 122*w**2) to g*w + v*w**2 + a + p*w**3 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 + 13 - 11)*(103 - 103 + 12*b) in the form m + f*b and give f.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 172\/9 (b) -0.07 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -18 + v + 6 + 14*v**3 - 3*v**2 - 4 - 15*v**3. Is l(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 3*s + 1 + 10, 5*h - 5*s - 45 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -398, 0, -2\/7, 6, -4, -2 in ascending order.\nAnswer: -398, -8, -4, -2, -2\/7, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.07391 + -4.67391. Sort 0.2, 2\/3, a, -3, 1 in increasing order.\nAnswer: a, -3, 0.2, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from fffmiixftfffixmmffi?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svv when three letters picked without replacement from vvvvvvsvssvvvvvv.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67098.\nAnswer: 2, 3, 53, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {x: 6, s: 13}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 + 2*t + 13. Give g(7).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.2*171\nAnswer: 205.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -524\nAnswer: -15\/524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 49*j**4 + 75*j**3 + 36*j**2 - 9*j - 18. Let m(c) = 12*c**4 + 19*c**3 + 9*c**2 - 2*c - 4. Let o(g) = -4*a(g) + 18*m(g). Find s such that o(s) = 0.\nAnswer: -3\/2, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*s + 245 = 0, -s + 345 = 3*r - 4*s. Let i = r + -44. Suppose 5*t - 3*t = -f + 47, 2*f + i = 3*t. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.167 + 0.473. Let d = 33094.36049 + -33095. Let w = k + d. What is w rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 336 = -2*v - 0*g, -4*v = -4*g + 672. Let d be (1*1\/(-12))\/(v\/(-3136)). Is -1 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v**(8\/5)\/v*v))\/v)\/v)\/v**11)\/((v**(-9)*v)\/(v**(-8\/3)*v)) assuming v is positive.\nAnswer: v**(-109\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h + 6. Let q = 18 + -24. Give y(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1742 is divided by 1690?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 + 13*u + 5. Calculate o(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 762217097\/710 - 1073545. Let a = k + -1\/142. Determine u, given that -1\/5*u + 1\/5*u**3 - 1\/5*u**4 + a*u**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -656499 + 200499 = -4*h. What is h rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/5 + 68*d**2\/5 - 248*d\/5 + 48.\nAnswer: -2*(d - 30)*(d - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -6824671.\nAnswer: -6824674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 59, 39, 21, 5, -9?\n\"Answer: i**2 - 23*i + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113\/5 - 23. What is the nearest to t in 5, -2\/11, 2.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1620)\/135)\/((-143)\/70 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1850692 and -0.2?\nAnswer: -0.03701384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 - (-8750)\/28. Let c = 453 - i. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 308 and -222.12847?\nAnswer: 530.12847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8258531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41086468 to the power of 1\/3, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 989780 (base 10) to base 2\nAnswer: 11110001101001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 463600 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4086159)\/(-99) - (-8)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -9*f. Let b(q) = 22*q. What is b(t(s))?\nAnswer: -198*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98727156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - 0.35. Let t = s + -0.7. Let k be (-2 - -2) + 0 + 2. What is the nearest to k in t, -2\/9, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z + 0*z**3 + 0*z**2 + 0 - 1\/12*z**4 + 3\/20*z**5. What is the third derivative of k(u) wrt u?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 3 + 0*v**4 - 2*v**2 + 4 + v**4 - 5*v to the form n*v**2 + f*v**3 + h*v**4 + q*v + t and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, -2\/3, -9, -194.795 in decreasing order.\nAnswer: -0.12, -2\/3, -9, -194.795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, -29056, 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 24 = 5*g, -g = 2*g + 3*o. Let m be (g\/6)\/(22\/(-165)). Solve 3*z = m*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8608 + -7852. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-141.\nAnswer: -1269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r**4 + 66*r**3 + 152*r**2 + 114*r + 20 = 0.\nAnswer: -5, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 7 + 5 + 0)*(0 - 3 + 0).\nAnswer: 6*h + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55791\/4904 + -1\/613. Calculate the common denominator of 45\/16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/9, -1\/3, -0.3, -221?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1924 rounded to 2 dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 22 = -r + 5*r, -3 = -4*m - r. Suppose m*w + 15 = 7*w. Find the first derivative of 2 - 2 + 3*j**w + 1 wrt j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -5. Suppose 3*o + o = -a + p, -3*a + o = -28. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1331) + sqrt(1331) + (sqrt(1331) - sqrt(1331)*-4)**2 + 2)*-6.\nAnswer: 528*sqrt(11) + 798648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540 is divided by 37.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 22. Let s = -1050 + 1050. What is o(s)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(sqrt(8) - sqrt(968)*-1))**2.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, z: 1, m: 1, o: 1, a: 2, g: 2}. What is prob of sequence ag?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 2.5. Let v = -0.5 + -1.5. Let j be (-2 - (-124)\/64)\/(4\/24). Which is the nearest to 0.1? (a) g (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3430?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4337 = 7*v - 9*v, 0 = 4*i - 4. Does -2168 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/6)\/((-56)\/(-72)). Let j be 38\/70 + 6\/(-15). Which is the closest to 0? (a) j (b) r (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109767 times -0.05?\nAnswer: -55488.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 1\/3*v**3 + 0*v**5 + 0*v**6 + 0 + 0*v + 0*v**4 + 1\/70*v**7 - 3*v**2. Differentiate z(j) with respect to j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**8\/1008 - d**7\/630 + d**6\/360 + d**5\/180 + d**2. Factor t(b).\nAnswer: -b**2*(b - 1)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(5 - 2) + 3. Suppose -o*a = -j + 21, -4*a + 101 = j + 2*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 - (-40 + 39)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115 - 67. Let s = q - 44. Solve l = 3*l + 3*b, 4*l = -4*b + s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*c = 0, 5*w + c + 3 = -5. Let q = 12 + -12.2. Which is greater: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 0*j**2 + 17*j**2 + 3*j - 6*j**3 + 8*j**3 + 11*j + 6. Let t be x(-8). Let n = t - -43. What is the highest common factor of n and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + 2*a**3 - 3*a**3 + (-6 + 37 - 10)*(-6*a**3 + 11*a**3 - 39*a**3).\nAnswer: -716*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/7 + 460*g\/7 + 1950 = 0. What is g?\nAnswer: -195, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*v + 96, -3*x + 5 = -7. Let i = v + -17. Is (-1695)\/(-6)*i\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kv when two letters picked without replacement from {k: 1, t: 1, v: 3, u: 1, s: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52595?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35141 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/((-1)\/2). Let y(m) be the second derivative of m**4\/4 + m**2\/2 + 2*m. What is the units digit of y(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102891 divided by 347.\nAnswer: 102891\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14916151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**3 + h**3 - 9*h**3 + (-h**2 + h**2 - 2*h**3)*(-1 + 3 + 0) + 2*h**3 + 0*h + 0*h.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 239217 to the power of 1\/2, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 9. Suppose 2*l = -2*p + 10, -8 = -2*p - 4*l + q. Suppose 0 = -3*f - 5*z + 45, 3*z = -p*f + 53 - 8. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -482 - -477. Sort r, -2, 5.\nAnswer: r, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1042529 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4241 + 422111444?\nAnswer: 422102203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**5\/20 + 87*n**2 + 52. Let v(b) be the second derivative of j(b). Let p(k) = -204*k. What is p(v(t))?\nAnswer: -612*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = t + 3584, -4*c - 3*t = -6*c + 2394. List the prime factors of c\/33 - (-4)\/(-22).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 68, -1, -0.05, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 357\/12 + (-6)\/8. Suppose -r*a + 27*a = -74. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 - -6) + (3 - 0). Suppose c*h + h = -132. Calculate the common denominator of 95\/4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 + -695 + 671\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15702927?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -32. Does 9 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/5)\/o**(-18)*o**(-12)*(o\/(o*o**(-23)\/o))\/o assuming o is positive.\nAnswer: o**(147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(153)\/((sqrt(126)\/sqrt(2))\/sqrt(7)) - (1 + sqrt(2057) + -1)).\nAnswer: -50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/2)\/(-9 + 372\/48). Let u = -19 - -21. Let f(m) = -m**2 - 4*m + 4. Let k be f(-4). Solve -c - v*w + 12 = 0, 3*w = u*c - k*c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*m**2 - 3*m + 3*m)*(3*m**2 - 5*m**2 + 0*m**2) + 3*m**4 - 3*m**4 + 2*m**4 - 2*m**3)*(2 - 3 - 10).\nAnswer: 22*m**4 + 22*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -5. Suppose -9*s = 2*j - 7*s + 2, -2*j - 4*s = 12. What is the third biggest value in j, 1\/6, g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-1000)\/25)*18?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9045 and -0.0178?\nAnswer: -161.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 8*t. Let g(w) = 37*w + 2*w**2 + 24 - w**2 - 36*w. Determine g(t).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31.31 - -3.63. Let r = p - -0.06. Let n = r - 35.0062. What is n rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9255594.\nAnswer: 2, 3, 1542599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 326058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 plus 99296113.35?\nAnswer: 99296081.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = -9*g + 4*g. Is g a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/6))**36 assuming g is positive.\nAnswer: g**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 8. Let j be x(-6). Suppose -4*a - a - d = -79, j*a + 2*d - 38 = 0. Suppose a = 2*p + p. Solve -2*n - 1 = -k + 6, 4*k + p = -3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 o when three letters picked without replacement from ccedoxooccc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1032 = 32*a - 184. Calculate the remainder when a is divided by 2\/(-9) + (-101)\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10349 - 4000. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2)\/(((-2945)\/(-57))\/(-31))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = h + 5*q + 450, 0 = -2*h - q + 195. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h**5 + 508*h**4 - 1566*h**3 - 13896*h**2 + 46008*h - 18144 = 0. Calculate h.\nAnswer: -21, -6, 6\/13, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*d + 0*d + 2*d)*(-42 + 39 + 45*d - 3*d) to y + p*d**2 + u*d and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 - 67. Let l = -0.3 + -0.2. Let j = -0.02 + 2.02. Which is the nearest to -0.1? (a) j (b) n (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1973 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) -3\/7 (c) 4 (d) 716\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 817.8 and 1.\nAnswer: 817.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1566067, 3132196, 4698325, 6264454?\n\"Answer: 1566129*c - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(5) + sqrt(15)\/(sqrt(27) + sqrt(3) + sqrt(3))) + (2 + sqrt(5) + 1 + -2 + sqrt(5) + -1)**2.\nAnswer: 6*sqrt(5)\/5 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3641678422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 16*a - 3*a + a. Let j be o(2). Suppose x = -2*x + 12. Calculate the highest common factor of j and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g**2 + 8*g + 8. Let k(w) = -1. Let r(x) = -a(x) - 12*k(x). Let r(y) = 0. Calculate y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 40 - 372 = 0. Let w = 166 - x. Factor 4\/3*y**2 + 0 + w*y + 4\/3*y**3 + 1\/3*y**4.\nAnswer: y**2*(y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 7*w = 9, 0 = 5*o + w - 37. Suppose 4*v + 5*t - 17 = 0, -4*v + 2*t = -2*t - o. Solve 13*h - 16*h = -v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 7:09 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 316*i + 3362. Let m(v) = -190*v - 1681. What is 5*m(w) + 3*s(w)?\nAnswer: -2*w + 1681","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 8*i**2 + 67*i + 14. Calculate o(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 25*s**2 - 227*s - 5116. Give j(-19).\nAnswer: 1363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2529478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)\/w**0*(w**(-2\/7))**(-27\/5))**46 assuming w is positive.\nAnswer: w**(-8786\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022060775 rounded to 6 decimal places?\nAnswer: 0.000221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 538 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384*5.\nAnswer: 1920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3247*g + 429. Let p(d) = 6493*d + 929. Calculate -13*l(o) + 6*p(o).\nAnswer: -3253*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29679463*g**4 + 2*g**3*k + 18859591*k with respect to g.\nAnswer: 118717852*g**3 + 6*g**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8178423 millilitres to litres.\nAnswer: 0.0008178423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -10*l - 7*l + 1298. Calculate the highest common divisor of l and 324.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 6:51 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 19 - 4 = 0. Let d = 4.044735 - 0.044735. Which is the nearest to 1\/4? (a) 75 (b) j (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i - 1. Let y(a) = 1 - 45*a + 8*a + 18*a + 17*a. Give -3*n(b) - 5*y(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - f**2 + 2*f - 9. Let d be t(-3). Let x(n) be the first derivative of -1\/18*n**4 - 8\/27*n**d - 5\/9*n**2 - 4 - 4\/9*n. Factor x(g).\nAnswer: -2*(g + 1)**2*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*r**2 - 21*r**2 + 2*r**3 - 112*r**2 - 26*r**2 + 1623*r.\nAnswer: 2*r**3 + 1623*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 47899 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 8593.4 to the nearest 100.\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20435128?\nAnswer: 2, 7, 101, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -9911*t + 9909*t + x, 0 = -2*t - 2*x - 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.81 greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1355556*s**3 + 198610*s**2 - 4*s - 2?\nAnswer: 8133336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -24. Suppose 2*t + 3 = 3*t. Suppose 0*m + m - a = 5*c, t*m = -c + 100. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 3 - 2 - (-2 - -5). Put 4, 3, 0, c in increasing order.\nAnswer: c, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -356 - -361. Sort q, 4, 6, 19 in descending order.\nAnswer: 19, 6, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 2*i - 54. Let g be 2\/(-12)*i\/(-8). What is the biggest value in -0.1, g, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 118*d - 58. Is 62 a factor of u(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4*(-2156)\/(-294) - 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74*m**5 + 730*m**4 + 2*m**3 - 1868836*m**2 wrt m?\nAnswer: -4440*m**2 + 17520*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o + 3. Let q be h(6). Let f be 294\/q - 4\/(-10). Let p = f - 13. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 775 - 778. Sort 4, s, 772 in increasing order.\nAnswer: s, 4, 772","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-9 + 5 - (8 + -5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0827810398 rounded to five dps?\nAnswer: -0.08278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*g - g - 4*g)*(g**4 + 0*g**4 - 3*g**4) + (-54*g**3 + 42*g**3 - 65*g**3)*(5*g**2 - 4*g**2 - 2*g**2).\nAnswer: 69*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2\/4 + 1375*i\/4 - 13335\/2.\nAnswer: -5*(i - 254)*(i - 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 + 18 = 0. Is o\/75*-3*14*20 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a second in milliseconds?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, s: 4, i: 7}. Give prob of picking 1 b and 1 i.\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/420)\/(3\/(-7))*27 + (-2368)\/(-37).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.834692ml in litres?\nAnswer: 0.000834692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 7, r: 5}. Give prob of picking 1 i and 1 w.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1747075.\nAnswer: 5, 11, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 - 785\/9. Let l = -19 - -19.4. Sort d, -2\/13, l.\nAnswer: d, -2\/13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138699996 is divided by 80?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l + 5. Let o be 1 - 0*(-3)\/12. Let p(n) = -1. Calculate o*h(g) + 6*p(g).\nAnswer: -4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0935034079 rounded to four dps?\nAnswer: 0.0935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 14) to base 11\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3564 + 1.2066. Let q = -0.053 + r. What is q rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from tttmkzmmkut.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.133 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143206 is divided by 442?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27015 is divided by 344?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 11 - 5. Suppose -5*h + 256 = -n*h. What is the remainder when h is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)\/((n\/(n\/(n**(-1\/5)*n))*n)\/n))**9\/((n\/n**(-2\/9))\/((n\/(n**(-3\/4)*n))\/n)*(n*n**(-2\/7))\/n*n**(-3)) assuming n is positive.\nAnswer: n**(-74827\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9814748*n - 4907372*n - 4907375*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 43 = 5*m + 8, 0 = -5*o - 57*m + 55*m + 31 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -4. Let m be 5 - (3 + s + -1). Suppose -m*d + 13 = 2*p - 13, -4*p = -d - 16. Calculate the remainder when 13 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.194 - 3.044. Let p = 3.25 + f. Which is the biggest value? (a) p (b) 124 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3 + sqrt(1088)*3)*4 - (sqrt(1088) - 6*-1*sqrt(1088) - (sqrt(1088) + sqrt(1088) + (-1 + sqrt(1088))**2 + 3))).\nAnswer: 160*sqrt(17) + 4320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 10*t - 66. Let i = -101 + 109. Calculate the smallest common multiple of d(i) and 2 + 11 + 2 + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -12*l + 9495. Suppose -3*c - 2*n = -l, 0*n + 1899 = 3*c + n. Let q = c - 336. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -7. What is the smallest common multiple of b and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/49, 4\/5, -829, 20, 0 in decreasing order.\nAnswer: 20, 4\/5, 0, -2\/49, -829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16921.04 - 16580. Let g = 346 - f. What is g rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23679303 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117.15 + 3.85. Let d = i + -121.04. Is 0 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24916697 and 11500014.\nAnswer: 149500182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (375\/3375)\/((-63)\/49*(-21)\/(-6))?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**2 + q - 1. Let f(y) be the first derivative of -y**3\/3 + y - 2060. What is 2*f(x) + m(x)?\nAnswer: x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2602479, -2602464, -2602449?\n\"Answer: 15*i - 2602494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/(2139\/(-46)))\/10.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*-2*7\/14. Let a(k) = -223*k**b + 111*k**2 + 110*k**2. Let i(d) = 99*d. Give i(a(q)).\nAnswer: -198*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgq when three letters picked without replacement from gpxpgqg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3883*s + 3299*s**2 + 2359*s**2 - 1747*s**2 wrt s?\nAnswer: 7822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -0*v - 30. Suppose -v*j = -j - 15. Let t be (-2)\/6 + 1\/j. Do -3\/4 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 4*k - 28, -k = -c + 2 - 1. Let t be c\/6 + 34\/6. Solve t*z - 10 = -0*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(912) - sqrt(912) - sqrt(912) - 6*1*sqrt(912))\/((sqrt(300) - sqrt(12))\/sqrt(4) - -1*sqrt(21)\/sqrt(7)).\nAnswer: -8*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70648, 141270, 211892, 282514, 353136, 423758?\nAnswer: 494380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8, 43, 136, 317, 616, 1063, 1688, 2521?\n\"Answer: 5*l**3 - l**2 + 3*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3100 - 3.\nAnswer: 3097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = q - 13, 7 = -2*w + 6*q - 3*q. Solve -f = -4*a - 20, f - 4*f - 20 = w*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - 128*z - 129. Let x be v(65). Sort -14, -8, x.\nAnswer: -14, -8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -4. Let o = 27.65 - 28.15. Which is the closest to o? (a) j (b) -2\/3 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87 - 6649*r + 19929*r - 6637*r + 99 - 6641*r.\nAnswer: 2*r + 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, -0.5, 2, -4\/21?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1121153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v = 28*v - 8. Solve b = v*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(228))\/sqrt(12) - (sqrt(475) + -1)) + -2.\nAnswer: -4*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (6 - (2 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 15, 16, 17?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 764, 926, 1194, 1568, 2048?\n\"Answer: 53*u**2 + 3*u + 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*g - d + 11, g = -5*d - 5. Suppose g*c = 15*c - 300. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.013 - -0.05. Let u = -46.061 - -46. Let v = u + r. Round v to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 - 115 + 76 = 7*h - 4*m, 2*h = -m - 31 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 11*s - 5. Let b be p(5). Suppose 5*t + w - 38 = 0, b*t + 3*t - 36 = -5*w. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12844244401 + 63708718496. Let l = b - 50864473849.00000159. Let n = l + -246. What is n rounded to 7 dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uccyluulrculuul. What is prob of picking 1 r and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/79737 and -22\/649287.\nAnswer: 4545009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 - 14*v**2 - 3*v - 4. Calculate f(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbaababbaababbbbtbab. Give prob of sequence aa.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33338*a = -33142*a + 15680 for a.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -7*o - 2. Let p be 8 + -2 + -6 + o. Let u = -3 + 2.8. What is the closest to p in u, -4, -1\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.91 to the nearest integer.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36203*f + 2921 + 656 = -36252*f for f.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19995 - 19993.7. Which is the second smallest value? (a) 0.2 (b) p (c) 1\/271\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9280834.\nAnswer: 2, 4640417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 11:47 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = v - 16789 - 11425, 0 = -2*o - 2. What is v rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 968?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27\/(-18) + 8\/6. What is the smallest value in 5, l, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 4. Let r be a(-2). Let h be r + -2 + 45\/9. Solve h*c + 3 + 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from xxxssx?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32076 - 314844 = -5251*f + 284857 + 62495 for f.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 175\/22 - (14 + -32 - -26).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 354503 + -2?\nAnswer: 354501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h + 8. Let j(w) = -3*w + 5. Let q(x) = 4*x - 6. Let d(z) = -5*j(z) - 4*q(z). Calculate -6*d(g) - u(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 179625 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87 + -87 - (-15 + (3 - 2))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 + 3*k. Let m(w) be the first derivative of -w**3\/3 + 47. What is c(m(a))?\nAnswer: 2*a**4 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjc when four letters picked without replacement from {j: 3, c: 1, e: 12}.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/3)\/((-54)\/1215). Let c(v) = 6*v - 3. Let d be c(3). What is the highest common factor of d and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 42063*u. Let f(b) = -16*b. Calculate f(a(i)).\nAnswer: -673008*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 1. Let g(b) = 2*b + 4. Calculate -4*g(l) - 14*m(l).\nAnswer: 6*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 + 32*o**2 - 34*o + 64. Calculate g(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -1. Suppose -5*b + 4*f = -338, 165 = 2*b - 3*f + n. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43990847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*c + 10. Solve 2*s = 0, 0 = 4*x - 2*s + c*s + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 16260504?\nAnswer: -16260499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15679, -31363, -47053, -62749?\n\"Answer: -3*x**2 - 15675*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 278 * -1.6\nAnswer: -444.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 n when four letters picked without replacement from {i: 2, q: 1, n: 2, p: 6, z: 2, r: 4}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 19 + 17 = -4*j, -3*j = -5*k + 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245339?\nAnswer: 245339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01043 in 2\/9, 0.1, -0.101?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -31. Which is the closest to 1\/2? (a) -1\/4 (b) r (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}